Which of the following represents the range of the function g(x)=5(x-2)^2-7

Mathematics

1 answer:

anygoal [31]3 years ago

6 0

Answer:I’m doing this too

Step-by-step explanation:

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ASAP! what numbers round to 756,000 using 2,5,5,8,6, and 2?

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655,822

Please give brainliest

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3 years ago

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A particle moves along a line with acceleration a (t) = -1/(t+2)2 ft/sec2. Find the distance traveled by the particle during the

amm1812

Answer:

$s(t)=(ln|7|+ln|2|)\,ft$

Step-by-step explanation:

Acceleration is second derivative of distance and are related as:

$a(t)=\frac{d^2s}{dt^2}\\\\\frac{d^2s}{dt^2}=\frac{-1}{(t+2)^2}\\$

Integrating both sides w.r.to t

$v(t)=\frac{ds}{dt}=\frac{1}{t+2} +C\\$

Using initial value

$v(0)=\frac{1}{2}\\\\\frac{1}{2}=\frac{1}{0+2} +C\\\\C=0\\\\\frac{ds}{dt}=\frac{1}{t+2}$

We have to calculate the distance covered in time interval [0,5], so:

$\int\limits^5_0 \frac{ds}{dt}=\int\limits^5_0 {\frac{1}{t+2}} \, dt\\\\s(t)=[ln|t+2|]^5_0\\\\s(t)=ln|5+2|+ln|0+2|\\\\s(t)=(ln|7|+ln|2|)\,ft$

3 0

3 years ago

I'm sorry I don't know how to do this problem, and its the only one I don't understand could anyone help me.

kolbaska11 [484]

You would multiply everything by 2. A dilation of 2 is an enlargement, or an increase in shape. If it was -2, it would be a reduction.

Multiply everything by 2:
(-2,3) = (-4,6) (3,4)= (6,8) (4,-1)= (8,-2)

I hope this helps you!

Brainliest answer is always appreciated!<span />

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4 years ago

Find an explicit formula that generates a sequence whose first four terms are: 24, 36, 54, 81

sattari [20]

Answer:

see explanation

Step-by-step explanation:

These are the first 4 terms of a geometric sequence with n th term

$a_{n}$ = a₁ $(r)^{n-1}$