The zeros of a parabola are −5 and −3. the point (0, 60) is on the graph as represented by the equation. 60 = a(0 + 5)(0 + 3) what is the value of a? a =

a = 4

Explanation:

1- We are given that:

zeroes of the parabola are -5 and -3, this means that the factors of the parabola are (x+5) and (x+3)

Therefore:

The general equation of the parabola is:

y = a(x+3)(x+5)

2- We are given that:

point (0,60) lies on the parabola.

To get the value of a, we will substitute with the given point in the equation of the parabola and solve for a as follows:

y = a(x+3)(x+5)

60 = a(0+3)(0+5)

60 = a(3)(5)

60 = 15a

This means that, the equation of the parabola is:

y = 4(x+3)(x+5)

Hope this helps :)

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

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