During the half time of a basketball game, a sling shot launches T-shirts at the crowd. The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet.

Use f(x) = -12x^2 + 60x + 5 to help you answer the following questions,

a. How long will it take for the T-shirt to reach maximum height?

b. What is the maximum height ?

Step-by-step explanation:

The T-shirt is launched with an initial upward velocity of 60 ft/s from a height of 5 feet. Its equation of motion is given by :

....(1)

(a) For maximum height, put

So,

Now put,

So, the time taken for the T-shirt to reach maximum height is 2.5 seconds.

(b) Put x = 2.5 s in equation (1)

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4