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3 years ago

7

Diana earns $8.50 an hour working as a life guard. Write a function to find Diana’s money earned m for any number of hours h. Ho

w much does she make in 9 hours ?

1 answer:

Alborosie3 years ago

3 0

Answer:

76.5$

Step-by-step explanation:

8.5 x 9 = 76.5

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Solve the equation (linear equation)<br><br> <img src="https://tex.z-dn.net/?f=8%5E%7B2x%2B7%7D%20%3D%20%28%5Cfrac%7B1%7D%7B32%7

Minchanka [31]

Answer: $x=-1$

Step-by-step explanation:

By the negative exponent rule, you have that:

$(\frac{1}{a})^n=a^{-n}$

By the exponents properties, you know that:

$(m^n)^l=m^{(nl)}$

Therefore, you can rewrite the left side of the equation has following:

$(\frac{1}{8})^{-(2x+7)}=(\frac{1}{32})^{3x}$

Descompose 32 and 8 into its prime factors:

$32=2*2*2*2*2=2^5\\8=2*2*2=2^3$

Rewrite:

$(\frac{1}{2^3})^{-(2x+7)}=(\frac{1}{2^5})^{3x}$

Then:

$(\frac{1}{2})^{-3(2x+7)}=(\frac{1}{2})^{5(3x)}$

As the base are equal, then:

$-3(2x+7)=5(3x)$

Solve for x:

$-6x-21=15x\\-21=15x+6x\\-21=21x\\x=-1$

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3 years ago

How do you solve a system of equation?

Eva8 [605]

Just subtract and then add then you should get your answer.

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2 years ago

antiseptic1488 [7]

Answer:

y-5 = 3/2(x-3)

Step-by-step explanation:

The point slope form of the equation of a line is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line

y-5 = 3/2(x-3)

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It will take her an hour and a hlaf

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ICE Princess25 [194]

Answer:

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Step-by-step explanation:

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