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

3

step-by-step explanation:

in standard form:

a= dictionaries

b= maps

you have to buy 3 dictionaries, so put a 3 next to the a (dictionaries) so that you can multiply them by each other.

a3+b= 60 (the amount of money you have)

we already know the cost of a=15 so replace a with $15

($15 x 3)+b=60

multiply 15 and 3 to get $45 and replace it with $45

45+b=60

and then replace b with 15 to get the total:

45+15=60

that means you have $15 left after buying 3 dictionaries.

15 divided by the cost of a map ($5) equals 3.

so you can buy 3 maps.

sorry if it was confusing!

answer: options

step-by-step explanation: