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padilas [110]
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 ?
Mathematics
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

8 0
3 years ago
How do you solve a system of equation?
Eva8 [605]

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

3 0
2 years ago
Mlin
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)

7 0
3 years ago
Rene is going to the lake to visit some friends. If the lake is 60 miles away and Rene is driving at 40 miles per hour the entir
MArishka [77]

It will take her an hour and a hlaf

5 0
3 years ago
3x²+2x²+x-2 divided x+2​
ICE Princess25 [194]

Answer:

3x^2-4x+9 remainder -20/x+2

Step-by-step explanation:

7 0
3 years ago
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