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

answer:   35 % is the probability of a late departure or an early arrival.

step-by-step explanation:

let l represents the late departure and e represents the early departure.

then, according to the question,

p(l) = 12 %,   p(e) = 27 % and = 4 %

and, we have to find out,

but, we know that,

which is the required equation that will use to find the probability of a late departure or an early departure.

therefore,   the probability of a late departure or an early arrival =   35 %

answer: a) 56% women

b)44% men

step-by-step explanation: