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111.30 AM~ses- ~prd. Lapexlearning com/:Question 7 of 10 Please select the best answer and click Multiple Choice: submit: The function F(c) = 3 c + 32 allows you to...

Question

111.30 AM~ses- ~prd. Lapexlearning com/:Question 7 of 10 Please select the best answer and click Multiple Choice: submit: The function F(c) = 3 c + 32 allows you to convert degrees Celsius to degrees Fahrenheit: Find the inverse of the_ function so that you can convert degrees Fahrenheit back to degrees Celsiusc() = 50-32)c( = 50+32)c() = 30+32)cu = 3v-32)

111.30 AM ~ses- ~prd. Lapexlearning com/: Question 7 of 10 Please select the best answer and click Multiple Choice: submit: The function F(c) = 3 c + 32 allows you to convert degrees Celsius to degrees Fahrenheit: Find the inverse of the_ function so that you can convert degrees Fahrenheit back to degrees Celsius c() = 50-32) c( = 50+32) c() = 30+32) cu = 3v-32)



Answers

Temperature Conversion The function $F(C)=\frac{9}{5} C+32$ converts a temperature from $C$ degrees Celsius to $F$ degrees Fahrenheit.
(a) Express the temperature in degrees Celsius $C$ as a function of the temperature in degrees Fahrenheit $F$
(b) Verify that $C=C(F)$ is the inverse of $F=F(C)$ by showing that $C(F(C))=C$ and $F(C(F))=F$
(c) What is the temperature in degrees Celsius if it is 70 degrees Fahrenheit?

In this problem were given the falling linear equation C equals 5/9 times the quantity of minus 32 in this for lates degrees, Celsius and degrees Fahrenheit. So for our calculations, I'm going to go ahead and rewrite this equation, multiplying out that five nights so we'll get C equals 5/9 F minus 160 overnight. So the first question they ask us is, What is the F intercept? If we look at the general form for linear equations, why equals M X Plus B will notice that F is our X value in this case. So we're finding the X intercept. And to do that, we're going to go ahead and set see equal to zero. So if we put that value of CN, we get zero equals 5/9 F minus 1 60/9 I'm going to multiply both sides of the equation by nine to get rid of the denominator. And so that will give us zero equals five F minus 1 60 If we move some things around, we get 1 60 equals five f and then dividing both sides by five. We end up getting F as 32 So if we write this in coordinate form, we know that f is our X value. So we'll get 32 here, and then we'll get zero in the Why? Because we set our C 20 The next part asks us for the sea intercept. So in this case, C is there? Why value? So we're finding them. Why intercept? So this time we're going to go ahead and set f equals zero. If we do that, we get C equals 5/9. Time zero minus 1 60/9 This term will cancel out and we end up with C equally negative 1 60/9 Or, if you want to write this in mixed numbers, negative 17 and seven nights. So again, in coordinate form, seas are why values? So we saw our X equal to zero. And then in our why will get negative 17 and seven nights. The next question they ask us is to convert 68 degrees in Fahrenheit in two degrees Celsius. So to do that, we're going to set F in our equation equal to 68 sulfur seat. So let's see equals 5/9 times 68 minus 1 60 over nine, and if we solve this out, we get C equals 20 degrees. So 68 degrees in Fahrenheit equals 20 degrees in Celsius. The last part of this problem asks to graph this equation with C as our vertical access and F is our horizontal. So if we do that, we get a graph that looks like this. You'll notice that our why intercept is equal to negative 17 and 7/9 in our X intercept secret of 32. Just how we found our F intercept and R. C. Anderson. Our slope is positive, so it's increasing from left to right, and it is also five nights. So for everyone that we moved right, we moved up by five nights, and that's it.

So for this problem, we need to complete each solution where we convert 70 C 2 F. So if we're starting backwards, we need to plug in 70 and to see his C stands for your degrees in Celsius. So we plug in 70 70 times, 9/5. So well, give us 126. So here this value we're going to insert here, So just write in again. 1 26 So then 1 26 plus 32 is 158 F. So if we track we down here so F, which stands for our degrees in Fahrenheit, is equal to this value, so that checks out. So therefore we can say that 70 degrees said Celsius is equal to 150 F. So I'm just gonna put in red everything that we found out all the values that we found out. So I think this again than this value we saw for and here. So here are the solutions for this problem. So you kind of had to work backwards and just put some pieces together. And then everything fell into place

Equals five nights F -32. is the formula to convert Fahrenheit temperature to C temperature and the domain is -459.6. F is greater than negative. 459.6. So finally inverse function. So C equals five nights at f minus 32. Okay, so instead of calling max and why I'm just gonna leave them CNF and uncle just can solve this equation for F. So the first thing I'm gonna do multiply both sides by 9/5. So now I have 9/5 C Equals F -32. So f equals 9 5th c plus 32. So that's the inverse function. Okay, and what does the inverse function represent? Well, it represents the Fahrenheit temperature as a function of the Celsius temperature. So what's the domain of the inverse? Well, we're gonna go back to the original and See what the range of it is. So I'm gonna put in -459.6 minus 32. Okay. 4 59 0.6. Yeah, times five 0.9. So see if f. So if f is bigger Biggest than -459, then C is bigger than 2 73 0.1. So then that's the domain of this function. Okay, I mean see greater than or equal to it, It's -2, 73 0.1. So that means this formula is only good for C values greater than -273.1. If it was less than that then for some reason the formula doesn't work If the temperature is 22°, that was supposed to be C what is it in F Okay, well, it's 9/5 times 22 plus 32. That's 21 80 and 18 1 98/5 plus 1 51 60/5, 198- 98, 358 over five 71.6° in Fahrenheit.

We have given that supported the supply, are willing to sell five million pounds of coffee at the price off here. Five million at the price of 12 dollars per pound and now seven million 1,000,000 exit by Sophia, $12 per pound. Now we have to create a linear function. So for this slope right up on them. So I am letting the value is why and this has X. So this would be 15 minus 12 divided with seven minus five. So this year, with three duet with two. So this is a slope 1.5. I can see. I know y minus liven equals two M X minus 61 So why minus 12 equals toe three development toe X minus side. So this is the question. And now we have to predict how much supplier would be willing to sell at the rate off $6 per pound. So here, why equals 26 Put these analytics y equals 26 So six minus 12 away. Three minus two x minus fight. So no, I confided this negative six equals toe Multiply with two. Do you admit to the equals two x minus life so this would be here negative, too. And now negative food equals two X minus five. So actually would be one. So that means one million people would be selling at the rate off six dollar, but obvious.


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