3 years ago

Which is the graph of f(x)=2(3)x

Mathematics

1 answer:

larisa86 [58]3 years ago

4 0

Answer:A 1st graph

Step-by-step explanation:

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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

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Does this table represent a function or not? Why or why not?

kirill115 [55]

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D. No, because two of the y-values are the same

Step-by-step explanation:

The y values cannot be the same

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The points in the table represent a linear function. What is the equation of the line?

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What is the domain of {(1,0),(-5,7),(-4,-7),(-7,-4)}

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D(1,-5,-4,-7) R(0,7,-7,-4) Domain are your x values and range is your y values

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3 years ago

Which is the graph of f(x)=2(3)x​

Which is the graph of f(x)=2(3)x