LESSON 7-2 Operations with Linear Functions Practice and Problem Solving: A/B Given the functions f(x) and g(x), find the function h(x) = f(x) + g(x). 1. f(x) = 3x - 2, g(x) = 12x + 5 2. fx) = -6x - 1, g(x) = 3x - 4 Given the functions f(x) and g(x), find the function k(x) = f(x) = g(x). 3. f(x) = 8x + 7, g(x) = 5x + 3 4. f(x) = 2x + 6, 9(x) = 4x + 11 Given the functions f(x) and g(x), find the function p(x) = f(x) g(x). 5. f(x) = -5, g(x) = -9x - 4 6. Xx) = , g(x) = 12x - 27 A company manufactures and sells slippers. The price it charges wholesalers is $18 per pair. The company has fixed annual costs of $30,000. In addition, it costs the company $4.50 to make each pair of slippers. Use this information for Problems 7–12. 7. Write the revenue function r(x), where x is the number of slippers sold in a year and r(x) is the total revenue from those sales. 8. Write the cost function c(x), where x is the number of slippers sold in a year and c(x) is the annual cost for the company.​

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

1/3 + 1/3 ≠ 2/6 because 1/3 alone = 2/6  

step by step explanation:

1/3 + 1/3 = 2/3       2/3=4/6