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Lynna [10]
3 years ago
9

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

Mathematics
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}

3 0
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}}}

7 0
2 years ago
What is the length of the hypotenuse in a right triangle with legs of length 7 and 24?
Fiesta28 [93]
A² + b² = c²   a and b are the legs and c is the hypotenuse.

7² + 24² = c²

49 + 576 = c²

625 = c²

√625 = √c²

25 = c

hope that helps, God bless!

4 0
2 years ago
The variable u had a proportional relationship with x as suggested by the graph. use the graph to write an equation that models
Papessa [141]

Answer:

y = 14

Step-by-step explanation:

5 0
3 years ago
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