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4 months ago

If f(x) = -6x + 6, then f(x) =

Mathematics

1 answer:

Bond [772]4 months ago

7 0

Answer:

(6-x)/6

Step-by-step explanation:

We are given the following function:

f(x) = -6x + 6.

This function can also be written as:

y = -6x + 6

Finding the inverse:

We switch y with x, then isolate y. So

$x=-6y+6$ $6y=6-x$ $y=\frac{6-x}{6}$

The inverse function is:

$f^{-1^{}}(x)=\frac{6-x}{6}$

The answer is (6-x)/6

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2 years ago

Layla and Carson work at the same store. Last week, Layla worked 8.75 hours, which was 25% of the amount of the time that Carson

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2 years ago

At the beginning of the year, the ratio of juniors to seniors in high school X was 3 to 4. During the year, 10 juniors and twice

Lady bird [3.3K]

Answer: E. 120

The number of seniors were there in high school X at the beginning of the year = 120

Step-by-step explanation:

Given : At the beginning of the year, the ratio of juniors to seniors in high school X was 3 to 4.

Let the number of juniors be 3x and the number of seniors be 4x.

Since , during the year, 10 juniors and twice as many seniors transferred to another high school, while no new students joined high school X.

i.e. Number of juniors at the end of the year = 3x-10

Number of seniors at the end of the yea = 4x-2(10)=4x-20

At the end of the year, the ratio of juniors to seniors was 4 to 5.

$\Rightarrow\dfrac{3x-10}{4x-20}=\dfrac{4}{5}$

$\Rightarrow5(3x-10)=4(4x-20)$

$\Rightarrow15x-50=16x-80$

$\Rightarrow16x-15x=80-50$

$\Rightarrow x=30$

The number of seniors were there in high school X at the beginning of the year = 4(30)=120

Hence, the correct answer is E. 120 .

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2 years ago