4. A-REI.4.11 A company is considering building a
manufacturing plant. They determine the
weekly production cost at site A to be
A(x) = 3x2 while the production cost at site
B is B(x) = 8x +3, where x represents the
number of products, in hundreds, and A(x)
and B(x) are the production costs, in
hundreds of dollars. State the positive
value(s) of x for which the production costs
at the two sites are equal. Explain how you
determined your answer.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: