3 years ago

The following steps are used to rewrite the polynomial expression x(x-5y) 2y (x-5y

Mathematics

1 answer:

Mice21 [21]3 years ago

8 0

$2x^3y-20x^2y^2+50xy^3$

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The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ

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Answer:

$(a)\ -16t^2 + 7t + 63=0$

$(b)\ t = 2.215$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 7t + 63$

Solving (a): Equation when it hits the ground.

This means that $h(t) = 0$

So, we have:

$h(t) = -16t^2 + 7t + 63$

$-16t^2 + 7t + 63=0$

Solving (b): The value of t in (a)

$-16t^2 + 7t + 63=0$

Using quadratic formula, we have:

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

This gives:

$t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}$

$t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}$

$t = \frac{-7 \± \sqrt{4081}}{-32}$

$t = \frac{-7 \± 63.88}{-32}$

Split

$t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}$

$t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}$

$t = -1.7775; or\ t = 2.215$

Time can't be negative; So:

$t = 2.215$

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Y = kx

Where 'k' is the constant of variation.

y = 4x means that 4 is the constant of variation.

Answer: 4

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