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3 years ago

15 - 2(3 - 2x) = 46 Simplify.

1 answer:

7 0

$15-2(3-2x)=46\ \ \ |\text{use distributive property}\\\\15-(2)(3)-(2)(-2x)=46\\\\15-6+4x=46\\\\9+4x=46\ \ \ \ |-9\\\\4x=37\ \ \ \ |:4\\\\x=\dfrac{37}{4}\\\\x=9\dfrac{1}{4}$

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Which expressions are equivalent to the one below? Check all that apply. <br><br> 9^x

AveGali [126]

Answer:

A) $3^{x}*3^{x}$

B) $3^{2x}$

C) $(3 * 3)^{x}$

Step-by-step explanation:

Given the exponential expression, $9^{x}$ :

A) $3^{x}*3^{x}$ is equivalent to $9^{x}$ due to the Product Rule of exponents: $a^{m} a^{n} = a^{m + n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x}$

Next, apply the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{x}*3^{x} = 3^{x+x} = 3^{2x} = (3^{2})^{x} = 9^{x}$

B) $3^{2x}$ is equivalent to $9^{x}$ due to the Power-to-Power Rule of exponents: $a^{mn} = (a^{m} )^{n}$ .

$3^{2x} = (3^{2})^{x} = (9)^{x} = 9^{x}$ .

C) $(3 * 3)^{x}$ is equivalent to $9^{x}$ due to the Product-to-Power Rule of exponents: $(ab)^{m} = a^{m} b^{m}$ .

$(3 * 3)^{x} = (9)^{x} = 9^{x}$

5 0

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Artyom0805 [142]

One could be |x|<-2
This could be one since no matter what you put in for x, it will always be positive.

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3 years ago

What is the domain and range?

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Answer:

Domain- the set of possible values of the independent variable or variables of a function.

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2 years ago