Task 1:
Your nephew is standing on his deck, which is 4 feet off the
ground. He tosses his toy up into the air at an initial velocity
of 7 feet per second. The equation h = -2t2 + 7+ + 4 models
the toy's height hin feet from the ground at t seconds after
he threw it.
What is the toy's maximum height?

The toy's maximum height is .

Step-by-step explanation:

The equation that models the toy's height in feet from the ground at t seconds after  he threw it is given by :

.....(1)

It is required to find the toy's maximum height. For maxima or minima, put

Plugging the value of t in above equation,

Now put t = 1.75 s in equation (1) such that,

So, the toy's maximum height is .

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

answer: finding the extract measurements and knowing the points

step-by-step explanation: