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3 years ago

Simplify the following expression. 7^-5/6.7^-7/6. 1/491/141449

1 answer:

4 0

${7}^{ - \frac{5}{6} } \times {7}^{ - \frac{7}{6} } \\ = {7}^{ - \frac{5}{6} - \frac{7}{6} } \\ = {7}^{ - \frac{12}{6} } \\ = {7}^{ - 2} \\ = \frac{1}{ {7}^{2} } \\ = \frac{1}{49}$
The answer is 1/49

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Given f(x)=x3 and g(x)= 1-5x2, fine (fog)(x) and it’s Domain

andre [41]

Answer:

Option B. $f(g(x)) = (1-5x ^ 2) ^ 3$ all real numbers

Step-by-step explanation:

We have

$f(x) = x ^ 3$ and $g(x) = 1-5x ^ 2$

They ask us to find

(fog)(x) and it's Domain

To solve this problem we must introduce the function g(x) within the function f(x)

That is, we must do f(g(x)).

So, we have:

$f(x) = x ^ 3$

$g(x) = 1-5x ^ 2$

Then:

$f(g(x)) = (1-5x ^ 2) ^ 3$

The domain of the function f(g(x)) is the range of the function $g(x) = 1-5x ^ 2$ .

Since the domain and range of g(x) are all real numbers then the domain of f(g(x)) are all real numbers

Therefore the correct answer is the option b: $f(g(x)) = (1-5x ^ 2) ^ 3$

And his domain is all real.

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2 years ago

Read 2 more answers

I’m not sure where to begin

Dmitry [639]

(a)

we are given

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Let's assume original price be 'p'

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price of 3 apples $=3(p+0.75)$

we are given that price is 5.88

so, we get equation as

$5.88=3(p+0.75)$ .......Answer

(b)

Since, original price is p

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$5.88-2.25=3p+2.25-2.25$

$3.63=3p$

$p=1.21$

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2 years ago

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vazorg [7]

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Question 2 (1 point)

Marrrta [24]

Answer:

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Step-by-step explanation:

obtuse is over 90°

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and right is exactly 90°

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2 years ago

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alisha [4.7K]

Answer:

I'm pretty sure it is 60 miles per hour (60:1)

Step-by-step explanation:

I used a unit rate calculator

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