Yokubjon Isaqjonov's Zoom Meeting

Hinzugefügt: 2026-06-03

[00:00:05]Okay, let's see.

[00:00:14]>> Oh, now YouTube is also going. Okay, I will share it to channel.

[00:00:23]But I think do it much more like better maybe.

[00:00:32]Yes, here.

[00:00:34]Thank you.

[00:00:37]Oh.

[00:00:40]Oh my god. What is it?

[00:00:49]So sorry guys. Let's we will continue now. Um so yes and next type of question which um you should realize before your test is this kind of questions. uh you will be given this quadratic equation and in this quad equation it's asked uh no real solution discriminant b² -4 * -3 * - 48 uh which is less than zero because discriminant should be less than zero okay b² should be less than 4 * 3 * 48 if you calculate this thing this number it will be roo<unk> of 4 * 3 * 48 it is 24 just itself yes okay I did square root as well be less than 23 and the largest possible integer value is 23 guys is it understandable >> mhm very good I just use it here. Discrimid please turn off your microphone.

[00:02:23]Okay.

[00:02:26]Uh next question.

[00:02:30]Uh in the next question uh we are given function uh according to the model which the following statement about the estimated resist resistivity of copper is true guys here here um what is f models it means y-coordinate is resistivity uh it is temperature and it it's asked it's asked uh the first one it increases at the rate of 3.5 Five per 100 Kelvin it increases by this per 100 Kelvin. Um at 100 Kelvin it's 10. Okay let's let's check at 100 Kelvin it is 10. No look at 100 if you go close at 100 it is something this is 10. It's less than 10. That's why C option is wrong.

[00:03:26]Uh here it's it said from 200 till 400 it decreases. No guys it's all time increases. This resistivity is all time increase. That's why it's wrong. Now you have two options.

[00:03:42]Uh you have two options. It's basically basically you can here um understand it.

[00:03:49]Look guys uh when it it increase by 100 look imagine from here to here you will go when it increase by 100 the value increases by let's say here 10 is five it means when x increase by 100 y increases by five it's around five so that's why six is the closest one That's why answer will be option B. It is this interpretation of slope guys. Is it somehow clear?

[00:04:28]Okay, very good.

[00:04:32]Next question.

[00:04:34]One gallon of paint will cover 28 square ft of surface.

[00:04:43]A room has a total wall area of W square. Which equation represents the total amount of paint in gallons needed to paint the walls uh walls of the room twice?

[00:04:57]Look guys, one gallon can 280 square ft square and room is W but you need twice that's why 2 W ft square is X gallons proportion this to this this to this It gives you 2 * w = to x * 280.

[00:05:31]From here x becomes equal to w /40.

[00:05:35]Answer is C. Guys, is it understandable?

[00:05:43]Okay guys, this is real question, real exam question. That's why uh you need to know.

[00:05:54]Uh so the line shown can be represented by the equation where a and b are constants. Which of the following is true about a and b? Okay guys, uh we want to know this line. So let's let's guys look. We will here open table and enter the points. The points are 2 and 0. Another point is 0 and minus4.

[00:06:22]Okay. Now the relationship is like this.

[00:06:25]It will be a x1 + b y1 it's equal to 32 which gives you a and b values conclusion a is greater than zero b is less than zero that's why answer will be c to this question I use this point and this point to the desmos I entered and I did a question guys is it understandable for everybody >> okay left to the table. Is it will it will it be another uh result >> like the regression button left to the table?

[00:07:10]uh this this will be like there will be another equation another function I mean uh not not by uh not equaling the 32 just with the regression function like level it is left left on the table there dots dots in the line four dots button button regression button this left left Oh, uh above the above the scale and uh like in the bottom of the plus left >> in the bottom ah this one. Yes.

[00:07:49]>> Uh the regression button left to the table and we need it to one need it to number one when you like uh when you transform table.

[00:08:00]>> Got it. Yeah. Yeah. I got it. Got it.

[00:08:03]Look.

[00:08:04]Yes. Good question. Um when you use here x itself x is already busy for droing for droing um uh here you need to use parameter and due to due to as well they are taking x1 y1 that's why you need to use x1 y if you write another it's wrong will be understandable >> yeah understand uh but can can you please just uh uh like put the button click the button uh of uh to in the left I just want to see I can do it by myself basically. Yeah.

[00:08:41]No not not the not the parameters but uh above left to the table the regression fun like when when you like transform this table. Yeah. In the left in the blue in the blue uh column.

[00:08:53]>> Ah this this >> this one. Yeah. Yeah. Yeah.

[00:08:56]>> Oh my god. Yes. Yes. I got it. Got look here. Add regression. Yes. But >> yeah. Add regression. Yeah.

[00:09:02]>> Yeah. This kind of this kind of thing this kind of thing this kind of type [clears throat] of regression is not exist here exists a linear quadratic cubic quadic logarithmic etc etc etc but this kind of not exist I wanted this kind of that's why I did it custom understandable >> customly so understand yeah thank you >> yeah very good uh the next question uh in the next question What is the value of b guys?

[00:09:33]Here we are given the points when you plug four it becomes zero. We can do we can use it. So it becomes so let's enter our function fx = to uh 24x²us bx - 128. And guys pay attention f of 4 equals to zero. It is 64. Problem is solved. By the way, I use this points and use it to function because due to I have only one unknown that's why I use this unknown. You can see is it understandable guys?

[00:10:15]>> Yeah.

[00:10:17]>> Yeah. Very good. Very good. If they would be for example another letter for example if there would be another number for example here C in this case you must use this point as well. When there is two unknown you need to use two regression. Two regression how? It means uh let's say you need to this do like this guys this and you need to use like this as well.

[00:10:51]Another one is f of -4 over 3.

[00:10:57]It's equal to zero as well. And here another unknowns parameter C like it gives you another pair of solutions.

[00:11:06]It matters here if there is like how many parameters the number of equations number of regressions also will be in this but never uh write like regression like this. For example, the this something regression is equal to something and H * K regression equals to something. Never use it. Never for one letter using two regression. It's wrong. When you want to use, you need to write it like this order. The first one to the first one, second one to the second one.

[00:11:44]Understandable, guys?

[00:11:49]So just with the one h is equal is force is is incorrect. Yes.

[00:11:54]>> Yes.

[00:11:55]>> Without logic. Without logic. Yeah.

[00:11:58]>> Yes.

[00:12:01]Very good guys. Let's continue.

[00:12:08]Okay.

[00:12:11]Next kind of question uh which you need to know is um this um the rate of change questions. It will be 330 square ft. It means feet square divide by hour and we are going to convert it to the square meter per minute. Okay, it means uh you know uh here you need to cancel fit that's why you need to write fit here and it's equal to 1 m and due to square you need to write it uh here again because uh here now fit and fit and cancels those two simply cancels and it becomes matter matter and what is our hour is uh you 1 hour is how many minutes? 60 minutes.

[00:13:04]This this cancels. Now your expression will be simply uh m* m square m and add the denominator m. So you need to here write the equation. It will be um 330 multiplication 1 / 3.28 28 squared multiplication 1 / 60 will be the case. So the answer to the question will be option A guys. Is it understandable converting rate question for you?

[00:13:40]>> Thank you.

[00:13:41]>> And the decimals how like you just calculated in decimals here.

[00:13:46]>> Yes.

[00:13:50]Okay.

[00:13:51]>> Yeah. Thank you.

[00:13:52]>> Mhm. Uh next question.

[00:13:56]Uh in the next question, uh you are given some model. You are given some model. In this model, just remove this point. What happens if you uh like remove this point? If you remove this point, the the function totally just um goes down. the function becomes just goes down due to you removed this but it still need to fit those points as well.

[00:14:25]That's why your point like for fitting them also it should be a little bit like the function little bit uh closes the the this part closes this wider this is much more compressed to the y-axis.

[00:14:45]Okay, this is the case. It means when it's compress it means it becomes steeper. It becomes faster parabola.

[00:14:52]Faster parabola means that this leading coefficient becomes greater. So that's why it becomes greater. And y intercept was here. Now it decreases. Yes. New y intercept C is like more less. C is less. This is also correct. That's why answer to the question will be first one and second one together. Guys, is it understandable?

[00:15:18]Very good.

[00:15:21]Very good. Let's continue.

[00:15:24]Uh in the next question, uh two lines intersect at exactly one point. Uh we need to calculate um Oh, someone says no. Vadka, uh tell me what's what's not correct.

[00:15:38]What's not understandable? You can speak. Speak speak.

[00:15:48]Sorry, I didn't understand why you change the parabola at all.

[00:15:54]Uh because you know here uh if you read the question data set B is created by removing this point. When you remove this point now parabola should fit those other points. Due to you are removing very uh po point which is located very up very top your parabola decreases like your parabola goes down and for fitting other points your parabola should close your uh its branch.

[00:16:25]>> This this logic here understandable >> yes thank you.

[00:16:30]>> Mhm.

[00:16:31]>> Very Uh teacher have you read this all uh text like do you understand fast?

[00:16:37]Have you understanded fastly?

[00:16:40]>> Um okay I I have read the question already.

[00:16:46]>> I'm still analying. Yeah.

[00:16:48]>> Mhm. But you need to know like uh here I've written that remove it from that step b uh the when x= to x= to zero line point is this line is removed. I think basically I explained the problem then we need to compare the coefficients >> the like this parabola was now it became now we need to compare the uh points understandable >> yeah so it's it just leaves with C as you as you like uh so it circled it uh but uh then uh when it's removed A and B so it's become zero yeah it's anulated it will be anated Oh, sorry.

[00:17:41]>> Like one more time. Uh with zero ones.

[00:17:44]Uh so there's no there's no O47 and it will become this just in a parabola with C. Yeah.

[00:17:53]>> Yes. Yes.

[00:17:55]>> And this that's why the first and the second is correct. But how? Oh, >> look look look look.

[00:18:04]>> Uh this was what? X >> C >> Y intercept. Yes, >> it was Y intercept.

[00:18:10]>> Due to you are removing very top element. Uh the new line of best feet for this point goes down because this point like pulls that pulls up. If you remove this pulls up your function goes down. This is what? This is C basically. This is C.

[00:18:33]>> Mhm.

[00:18:34]>> C is less because it was 6 point something here. Now it's less.

[00:18:39]>> By the way, what is A? A is this kind of for example, if you uh understand X square line, it will be this line. But 2X square line will be this much more much more faster line. It means much more steeper line. But your line is like much more compressed at becomes because it should now fit those points as well.

[00:19:01]>> That's why it would be like this. But due to fitting this it like a little bit closes its branches for fitting. That's why A becomes bigger. A was like this.

[00:19:12]Now A becomes bigger. That's why A becomes bigger here.

[00:19:16]>> Understandable.

[00:19:19]>> Yes. Thank you.

[00:19:21]>> Okay.

[00:19:23]Uh the next question uh what is the value of x like two lines intersect at exactly exactly one point? Let's try y = 3x² + 28. Another one is y = px + 25.

[00:19:46]Yes. Okay. for P you can give some values and you need to find such value of P where they should have exactly one intersection point so you can use discriminant but okay here we can I think find oh is something close let's do it six when you do it six they have only one intersection point and this x coordinate is one so answer to the question is one you can see in the question showing on six as well. But in the problem ask not P but X asked understandable guys reactions you can use like pure desmos here very good which expression is not factor of this.

[00:20:39]So guys when you see these kind of questions already like this great common divisor of them will will be given like 70 will be given you can here factor out this number from here. So then what it becomes it becomes 1120 / 70 and another one 43750 / 70 becomes two numbers. It means you can factor out from here 70 as a factor inside of bracket will remain 16 x4 minus 625 and it will be 70 here this number will be 4 x²ar minus 25 squared if I am not mistaken yes then we can use here a square minus b square formula yes I want to speak once Yes, Muhammad.

[00:21:36]>> Does a factor means like they intersect at the same x intercept?

[00:21:42]>> Uh you mean like in factor? So you ah you want to solve >> when you draw both in the when you draw both in desmos you see that they intercept intercept at the same x axis.

[00:21:56]Is that true?

[00:21:58]No mister you cannot apply this because if those all would be linear it's okay you can you can use this logic with this it's okay but with quadratics you can use you cannot use this logic or you need to do this one x² you need to do this one x now it works understandable what I mean >> oh okay okay thank you >> yeah your case works with linear but your factors now quadratic what you can do here it will be 70 4x^2 - 25 4x^2 + 25 Okay, you can factor out this one again.

[00:22:36]70 here 2x - 5 2x + 5 4x² + 25. By the way, I I'm using this this popular formula which every SAT student must know. Those are all possible. Yes, this is factor. Yes, this is factor. It's here. Um yes it's factor but this is not that's why answer is B option.

[00:23:00]Uh what Muhammad says Muhammad what you are Muhammad Amir Amar. Yes.

[00:23:08]>> Yes. Yes.

[00:23:09]>> Oh I I saw you in my telegram channel.

[00:23:13]>> Yes I'm active every day.

[00:23:15]>> Yes you are active.

[00:23:17]Where are you from?

[00:23:21]>> I'm from Egypt.

[00:23:23]Oh, very good. Very good.

[00:23:26]>> Yeah. Yeah. Clear, you know.

[00:23:30]>> Yeah.

[00:23:32]The most ancient country, one of the most >> Yeah. Yeah. Yeah.

[00:23:37]>> Yeah.

[00:23:40]>> So here it is the factors.

[00:23:44]Uh it is like factors. So uh you can only check this one 2x + 5. Yes, they have same x intercept.

[00:23:56]So it means it's factor. No question. 70 is also a factor because it's grid's common divisor. By the way guys, you need you can use here grids common divisor function.

[00:24:07]Greatest common divisor function. It will be this basically.

[00:24:16]So 70 70 here. So it's okay those two we check. What about others for checking others you need to like this if you this mark x this one will be x² your function should change x² and you need to check the other functions uh this 2x - 5 function is you can see they don't have same x intercept which means it is not factored. If you check the another function it will be 4x plus 25. Oh they have same x intercept.

[00:24:52]It means it's factor. This is like the way which Muhammad wants to tell guys.

[00:24:59]Is it understandable?

[00:25:04]But when you calculate it um in the first time how you find it uh so fast that it's 70 multiplied uh the uh the great common div yes >> yeah the subtraction yeah >> I look at this I look at this >> okay thank you okay >> very good next question the equation has no solution how to do the equation has solved just factor out x - 3 + 24 p multiplication x = 96. If guys you satisfy this one 0 0 * x = 96 is does not matter what value will be x it will be all time wrong that's why simple step equalize it to zero condition then ax = to b equation via b is not equal to z if a equals to zero then equation is no solution understandable So this kind of linear equations like the first power equations the first degree equations then those two satisfies no solution. If this equal to zero this equal to zero in this case it will be infinitely many solutions.

[00:26:31]Just mention this guys. Is it understandable?

[00:26:40]>> Yeah. Thank you.

[00:26:41]>> Very good.

[00:26:43]Very good.

[00:26:53]Okay.

[00:26:57]Oh, eight students from YouTube watching. Very good.

[00:27:02]Uh, next question. Uh, what is the x intercept guys? What is x intercept? x intercept is when y is zero. When y is 0, it will be 28 - x / a x + b = to 0.

[00:27:16]Uh, so for for this the power should be zero. 28 - x should be zero. x = to 28.

[00:27:23]So the answer is option D. Guys, is it understandable?

[00:27:29]I have it again. Four being four being x intercept y should be zero. Four being this one zero this thing should be zero.

[00:27:43]It is 28 means very good guys understand it.

[00:27:51]Okay.

[00:27:59]Uh then our function when you see this kind of quadratic function questions you need to write fx is look when you are given vertex it they are directly telling you use vertex form vertex form of quadratics it will be a x -1² + 9. So this is your scene and look guys there is only one unknown decimus requires from you Mr. Define a we will define it with regression. We tell f of two it's equal to what 52 your function here drawing that's it this is over information basically no need to use because you will get the same result at the end you need to calculate those uh this expression with desmos purely like without um spending time. So answer will be option C guys.

[00:29:00]Is it understandable?

[00:29:04]>> Yeah, that's fast. Thank you.

[00:29:06]>> Yes, very good guys. Very good. Let's continue.

[00:29:15]Oh, this question guys, you can see here minus but here plus. We need to be careful.

[00:29:21]Totally careful here. Okay, look. 5 + 2 / 9 multiplication 11 - x = 3 * 11 - x here 11 + 5. So this is your line. Your line is 11. x = to 11. But here ask it 11 + 11 which is 22.

[00:29:48]Guys, is it understandable?

[00:29:53]By the way, May 2026 exam was easiest uh easier exam. It was very uh easier exam.

[00:30:03]>> Okay. Uh K it's a 20 26. Yeah. May 2026.

[00:30:08]>> Yeah. Yeah. This previous exam this exam was easiest.

[00:30:14]Uh so in triangles RST XY Z shown XY is parallel to TS.

[00:30:25]Um oh here I forget this. Okay I try to draw the graph myself because I remember the graph.

[00:30:43]Uh so xy this is t s this is r this is x this is x this is y. So the graph was given like this on the test and tangent r. Okay we are going to find sin of x this if this is alpha this will be also alpha because they are parallel.

[00:31:10]So this was given right angles uh in the exam uh they are parallel to each other tangent r. Now we need to mention like we need to calculate senus alpha senus alpha because senus x is senus alpha.

[00:31:26]Guys this graph was given on the test tangent was tangent is opposite what tangent of r is opposite over adjacent.

[00:31:38]Opposite 160 this one 231. You need to calculate this hypotenus here. It becomes um roo<unk> of 231 squared + 160 squared becomes equal to this value 281.

[00:31:58]Yes, it becomes 281. Now you need to calculate sin of x opposite over hypotenus which means this divided by this because it's alpha it's x since x is opposite over hypotenuse.

[00:32:13]definition.

[00:32:15]So answer is C to this question guys. Is it understandable?

[00:32:27]Okay. Opposite over adjacent. Very good.

[00:32:33]Uh next question. We are going to find the R1. It will be 1 / R1 will be equal to 1 / 16 - 1 / R2.

[00:32:42]If you give common denominator, it becomes R2 - 16 like this one here, this one here. Uh, and you need to find R1.

[00:32:52]R1, you need to just rotate. If you rotate it, it will be just simply this expression. Uh, which is the answer C to this question. Guys, is it understandable how to do it?

[00:33:05]This thing goes to this side with minus and giving common denominator calculating and at the end rotating never forget never forget.

[00:33:16]Okay.

[00:33:19]Oh, this question it was sorry I missed it.

[00:33:25]So this question we basically solve it together.

[00:33:29]Okay, look at this.

[00:33:33]Each 3 oz serving of cheddar cheese and each 1.2 oz serving of tuna provided about 1 microgram of vitamin B12. A total of 3.5 micrograms of vitamin B12 is consumed total 3.5 eating x of ched cheese y of tuna.

[00:33:54]Which equation represented this situation? Okay, look guys. If 3 oz of the cheddar gives you one microgram vitamin B12, it means every ounce gives you one over three micro micro vitamin B12. Look, 3 oz gives you one. It means uh 1 oz gives you this. It means uh 0.33 give us vitamin g vitamin g 1 o what this cheddar if 1.2 2 oz gives you 1 microgram vitamin B2 B12.

[00:34:42]It means 1 g 1 oz of the tuna gives you can just proportion 1.2 gives you one uh let's say um 1 oz gives you x it will be 1 / 1.2 it is 0.83 83 uh migram. It means 1 oz of the tuna gives you 0.83.

[00:35:08]But you have y oz. It means you have not one ounce. But you have y oz. That's why uh 0.83 y total gives this one also same 0.33. If one ounce gives this uh total x ounce gives this amount of vitamin B12.

[00:35:26]their total amount of vitamin B1 will be 3.5 is the answer is D to this question guys is it understandable basically I explained this question in my channel more a lot of times that's why so this question uh I hope it is visible but a little bit hard uh in this question the question the important part is the smallest standard deviation we need to calculate small.

[00:35:58]Okay guys try everybody please try to answer yourself in the chat write your answers please let's write in chat Mhm. Very good.

[00:36:33]Yes guys, correct answer to the question will be option D because in the option D standard deviation is spread. How much spread your data and when there is no spread it means no standard deviation very low standard deviation. This 25 frequency it means 12 is 25 like all numbers are uh gerate ger not spread but gerate at the center it means very low standard deviation all others there is like outliers which becomes standard deviation bigger this is also big standard deviation because you have very small like big elements a lot that's why when there is gusting it means the the smallest standard deviation is here.

[00:37:25]Okay.

[00:37:28]Uh then is you see this kind of questions this is margin of error questions the margin of error is 3.7 all time take this plus minus um plus minus oh look look here larger sample size.

[00:37:50]Yes, larger sample size. When you take larger, it means you you will do less mistake. When you have big data, you have less mistake. It means the new error will be less than previous error.

[00:38:04]Previous error is 3.7. That's why answer to this question will be option A. Guys, is it understandable?

[00:38:17]Okay.

[00:38:23]The next question uh the each angle congrent it means all angles are equal. When all angles are equal it means the sides will be proportional. It means they will be similar. Two triangles will be similar. So you have this and you have this.

[00:38:52]Um so it will be a BC and this will be QRS.

[00:39:00]Oh AB is 56 BC is 84.

[00:39:04]Um yes AC is 112 R S is this one 336.

[00:39:12]In SAT this and this are like will be proportional to each other. Uh here this like four times greater it means uh yeah you you can basically divide it yourself like for calculating scale factor this divided by this it will be four it means four times this also four times this also four times. Okay, let's calculate perimeter. It will be 56 * 4 + uh 112 * 4 plus 336. So the new perimeter of the QRS will be basically answer 108 perimeter it means sum of the all sides because they are congrent all sides are all all angles are equal it means uh they are proportional proportional means the each side should be multiplied to the same number.

[00:40:14]Okay, let's continue.

[00:40:20]Very good.

[00:40:22]How many questions we left? Ah, very few questions we left. Okay, let's continue.

[00:40:29]Um, okay. In in the next question uh you are given the uh surface area formula is given and in surface area in surface area uh pay attention guys uh base area is given base area is pi radius² = to 81 pi from here radius equals to 9. Here simply you can calculate then radius is 9 and we are given this for surface area and they are giving surface area as well radius is 9 * l * p it's equal to 214 pi those 2 pi cancels l will be equal to 214 / 9 uh which if you calculate I think okay we will do it by desmos 214 over 9 okay It's L.

[00:41:31]Okay, this is L guys. It's called slant height. This is height actual. Uh for finding height from here, it will be like pyagorian theorem. Height² + 9² = to L². From here, if you calculate height, it will be L square - 9 square.

[00:41:48]So answer will be here um will be guys L² minus 9 squared which gives you this the to the nearest matter it will be 22 guys is it understandable by the way this is very useful connection fan height height radius you look at this beauty It's very good connection.

[00:42:21]Okay, this equation uh like this solution for this will be this. Okay, ax less than this 30 because if this number goes with plus sign to this 16 + 14 this guys from this inequality how to get what a should be?

[00:42:42]A should be negative because inequality sign should change and for making it minus 6 this should be minus 5. So a should be minus 5 x greater than in this. So that's why a should be minus 5 is the answer to this question guys. Is it clear how to do it?

[00:43:04]Mhm. Very good. Very good guys.

[00:43:10]So the measure of angle F is P / 12 radians. The measure of angle F is 3 and what is the value of okay look pi radian equals to 180°. This is converting rate.

[00:43:32]This should be you are given pi over 12 radians. How to convert? Write here pi radian right here 180° because when you divide this number it become just one because they are both equal but it helps you for converting units. radian radian cancels pi pi cancels it will be 180 / 12. It turns out it's equal to n. So n equals to if you solve this uh last equation will be five to this question.

[00:44:01]Probably solved.

[00:44:04]Okay. Conclusion for converting from radian to decrease you need to multiply to this because radian measure cancels left only decrease guys. Is it understandable?

[00:44:24]Okay.

[00:44:26]Thank you. Uh next question. Uh here I would recommend doing desmos because I don't know I don't want to do here much more calculations.

[00:44:38]Uh let's let computer makes it x - k squar + r and you you have two points basically we we need to enter those two points to the desmos with the regression.

[00:44:56]It becomes g of 6 = to 16. Another one. Another one guys. G of 0 equals to 16. Again at the end you need to calculate R + K which is easy point guys. Easy point.

[00:45:17]This it's it is 22.

[00:45:21]It doesn't like also some computer it also like very approximate that's why it's a little bit like it's it can be considered 22 guys never worry understandable guys for everybody reactions Okay.

[00:46:04]Okay.

[00:46:06]Next question. Uh the next question here is given.

[00:46:15]Um okay.

[00:46:20]When you see this kind of questions here will be kx1 -7 divided by 2 x1² - 11 x1 + 15.

[00:46:36]So this expression equals to P / X1 - 3 -1 / 2 X1 - 5 and due to there is two unknown X1 is two unknown like K and P unknown that's why X1 should be two values at least for example one and two one and two the the thing is the denominator should not be equal to zero.

[00:47:08]Now it gives you the value of K and P and P is four. That's why answer is four. Guys, is it understandable?

[00:47:16]>> H how you put in uh X1 one and two?

[00:47:21]>> Just one and two.

[00:47:24]>> Uh it's uh from after result or like >> ju just Oh, what's going on here?

[00:47:33]Yeah, just just to uh just progression was zero for zeros.

[00:47:40]>> Yes.

[00:47:43]>> Look.

[00:47:47]>> And to avoid the the the wrong regression, we just put any number.

[00:47:53]Yeah.

[00:47:55]>> Yes. Look, it's like system of equations. Uh you need to define K and P two unknown. It means for X you should give at least two values. That's it.

[00:48:03]This is logic.

[00:48:08]>> Thank you.

[00:48:09]>> Mhm.

[00:48:10]Okay.

[00:48:13]Um, next question. Uh, a company developed a plan to set selling price as product. The company determined that for selling price of $90, zero products would be sold.

[00:48:26]Uh so look you have some this like this times this if like price is 90 number of products is zero zero product would be sold if you read this part.

[00:48:44]Okay then let's read the second part.

[00:48:47]For each $1.5 decrease in selling price number of products would increase by one. It means when this price decrease by 1.5 number of products increases by what? If you do this thing x times it means you need to subtract x times this and you need to hear x as well x times here happens the adding.

[00:49:18]So this will be total revenue and it turns out total revenue equals to 13 36.5 and you need to you can here calculate the values of this both two 27 and 33 uh 27 only given that's why answer will be this question this guys is it understandable guys by the way you are asked x is what number of product because 0 + 1 x is X number of products.

[00:49:53]Very very good. Um okay.

[00:50:06]So one thing I wanted to show you. Yeah, basically the file is finished. But also I wanted to sh uh show you one problem.

[00:50:22]>> Model two two models.

[00:50:25]>> Yes. No. I just >> mix.

[00:50:30]>> Yeah. Mix.

[00:50:34]>> Yes. One minute.

[00:50:36]>> I will find Oh.

[00:51:01]Oh, I did not include this question.

[00:51:03]Okay.

[00:51:05]Uh, okay. It's okay.

[00:51:11]There was one experimental question on the test on the test. Um, but I did not include this. It was like this guys. I guys I in my channel I explained those but okay here also I explain you look uh we'll be given some triangle.

[00:51:35]Uh this angle is 72 and this is isos triangle. It means those angles will be equal 72. Uh it will be 180 - 72 / 2.

[00:51:52]Uh what what is this 36 I know? Oh okay look look look this one 36 actually and this one 72 this one 72 will be this kind of triangle appeared let's say a b c and they provide this bis sector bis sector bis sector it means divides angle into two equally parts okay look it it is it was uh triangle and this 36 this 36 it means those two equal it means uh this side is equal to this side.

[00:52:33]On the other hand, if this is 36, this is 72. If you subtract all of them from 180, this one will be again 72. It means this triangle also will be isocus. It means this and this will be equal to each other. If this is like W, it means BW equals to A W equals to AC. This connection we can find this experimental question from May test was like about like which of the statements is correct.

[00:53:04]This statement will be correct like this triangle will be isocless due to angles at the base are equal and this triangle will be isosless guys. Is it understandable?

[00:53:19]Okay. Yeah. Basically that's it for today. I explained some important questions from May test. Uh thank you for joining to this class. Uh yeah, have a good day. Goodbye guys.

[00:53:39]>> Thank you.

[00:53:43]>> Goodbye.

[00:53:45]>> Goodbye.