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3 years ago

9

Is y=-2x^2+3x-1 max or min

1 answer:

puteri [66]3 years ago

4 0

Use the formula
x
=
−
b
2
a
x
=
-
b
2
a
to find the maximum and minimum.
(
−
3
4
,
41
8
)

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Solve the equation 5(x-2)=7(x+4) for x

Sphinxa [80]

Answer:

$\boxed{\bold{x=-19}}$

Step By Step Explanation:

Expand $\bold{5\left(x-2\right): \ 5x-10}$

Expand $\bold{7\left(x+4\right): \ 7x+28}$

$\bold{5x-10=7x+28}$

Add 10 To Both Sides

$\bold{5x=7x+38}$

Subtract 7x From Both Sides

$\bold{5x-7x=7x+38-7x}$

Simplify

$\bold{-2x=38}$

Divide Both Sides By -2

$\bold{\frac{-2x}{-2}=\frac{38}{-2}}$

Simplify

$\bold{x=-19}$

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3 years ago

What is the slope of a ski run that rises 5 feet for every horizontal change of 20 feet? Pls show work

Over [174]

Slope is the rise/run.
5/20 is the slope but simplify it so it’s now 1/4

7 0

2 years ago

Read 2 more answers

Given <br><img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%28x%29%20%20%3D%20%20%5Cfrac%7B3%7D%7B%20log_%7Bxy%7D%282%29%20%7D%20

Naily [24]

Answer:

$\displaystyle y = x^{-\frac{2}{3}}$

Step-by-step explanation:

<u>Logarithms</u>

Some properties of logarithms will be useful to solve this problem:

1. $\log(pq)=\log p+\log q$

2. $\displaystyle \log_pq=\frac{1}{\log_qp}$

3. $\displaystyle \log p^q=q\log p$

We are given the equation:

$\displaystyle \log_{2}(x) = \frac{3}{ \log_{xy}(2) }$

Applying the second property:

$\displaystyle \log_{xy}(2)=\frac{1}{ \log_{2}(xy)}$

Substituting:

$\displaystyle \log_{2}(x) = 3\log_{2}(xy)$

Applying the first property:

$\displaystyle \log_{2}(x) = 3(\log_{2}(x)+\log_{2}(y))$

Operating:

$\displaystyle \log_{2}(x) = 3\log_{2}(x)+3\log_{2}(y)$

Rearranging:

$\displaystyle \log_{2}(x) - 3\log_{2}(x)=3\log_{2}(y)$

Simplifying:

$\displaystyle -2\log_{2}(x) =3\log_{2}(y)$

Dividing by 3:

$\displaystyle \log_{2}(y)=\frac{-2\log_{2}(x)}{3}$

Applying the third property:

$\displaystyle \log_{2}(y)=\log_{2}\left(x^{-\frac{2}{3}}\right)$

Applying inverse logs:

$\boxed{y = x^{-\frac{2}{3}}}$

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2 years ago

What is the length of the hypotenuse in a right triangle with legs of length 7 and 24?

Fiesta28 [93]

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Step-by-step explanation:

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