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2 years ago

What are the steps to my answer?

Mathematics

1 answer:

stepan [7]2 years ago

7 0

Answer:

Step-by-step explanation:

f[g(x)]=(2x)²+3(2x)-3...substitute the values of g(x) into the function f(x)
f[g(x)]=4x²+6x-3...simplified

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Which equation has x = –6 as the solution?

olya-2409 [2.1K]

Answer:

The equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

Step-by-step explanation:

<u>Checking the equation</u>

log Subscript 3 Baseline (negative 2 x minus 3) = 2

Writing in algebraic expression

$\log _3\left(-2x-3\right)=2$

Use the logarithmic definition

$\mathrm{If}\:\log _a\left(b\right)=c\:\mathrm{then}\:b=a^c$

$\log _3\left(-2x-3\right)=2\quad \Rightarrow \quad \:-2x-3=3^2$

$-2x-3=3^2$

$-2x-3=9$

$-2x=12$

$\mathrm{Divide\:both\:sides\:by\:}-2$

$\frac{-2x}{-2}=\frac{12}{-2}$

$x=-6$

Therefore, the equation 'log Subscript 3 Baseline (negative 2 x minus 3) = 2' i.e. $\log _3\left(-2x-3\right)=2$ has x = –6 as the solution.

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4 years ago

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Aisha wants to make a dog bed for her new puppy. She buys 2.5 yards of fabric. If the fabric costs $4.90 per yard, how much does

balu736 [363]

Answer:

$12.25

Step-by-step explanation:

2.5 yards of fabric * $4.90 per yard of fabric = $12.25. Hope this helps!

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3 years ago

Carmen is at a used bookstore. Paperback books cost $ 1 each, and hardcover books cost $ 2 each. Carmen can spend up to $ 10 in

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X+2y < (or equal to) 10

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3 years ago

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Answer:

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D would be the answer

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3 years ago

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Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error?

Nataly [62]

Answer:

If Tim actually earned 62 points . Therefore Tim's percent error is 58.1 % .

Step-by-step explanation:

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3 years ago