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Leni [432]
3 years ago
5

I don’t understand question 4?

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0
Me either but its C.
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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
The triangles below are congruent and the corresponding parts are marked
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

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2 years ago
Geometry problem below
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Step-by-step explanation:

In a conditional statement

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Use intercepts to graph each linear function.<br><br>x-3y=9​
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Step-by-step explanation:

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Please clarify what you asking

Step-by-step explanation:

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2 years ago
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