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2 years ago

13

A firework is launched from the ground at a velocity of 180 feet per second. its height after t (t is variable) seconds is given

by the polynomial -16t^2+180t. what is the height of the firework after 2 seconds?
very urgent, please help!!

1 answer:

VMariaS [17]2 years ago

7 0

-16t² + 180t

-16(2)² + 180(2)

-64 + 360

The fireworks height after 2 seconds is 296 feet

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(2,4) is a solution to this system of equations

Step-by-step explanation:

Given system of equation are

$y=2x \hfill (1)$

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To find the solution of the given system of equations

To Check that (2,4) is a solution to this system or not

Solving equations (1) and (2)

From equation (1) and y=2x

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$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

<u>Explicit Formula</u>

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

<u>Recursive Formula</u>

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

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