The function f(x) = –x2 + 60x – 116 models the monthly profit, in dollars, a shop makes for repairing windshields, where x is the number of windshields repaired, and f(x) is the amount of profit. part a: determine the vertex. what does this calculation mean in the context of the problem? (5 points) part b: determine the x-intercepts. what do these values mean in the context of the

Given :

To Find: Part A: Determine the vertex. What does this calculation mean in the context of the problem?Part B: Determine the x-intercepts.

Solution:

General form of parabola :

where (h,k) is the vertex

Convert the given equation in the general form

So, (h,k)=(30,784)

So, the vertex of given parabola is (30,784)

x denotes number of windshields repaired

y denotes the amount of profit

So, the vertex tells the maximum profit .

So, repairing 30 windshields provides the maximum profit of amount $784

Now to find x intercept substitute y = 0 in the given equation:

Thus there is 0 profit when 2 or 58 windshields repaired

468

step-by-step explanation:

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .