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Mariana
1 month ago
11

Which of the following pairs of functions are inverses of each other?

Mathematics
2 answers:
babunello [11.4K]1 month ago
8 0

Answer: A

Step-by-step explanation: A P E X

babunello [11.4K]1 month ago
3 0

Answer:

Confirmed!

Step-by-step explanation:

For two functions, f(x) and g(x), to be inverses, they must fulfill the condition:

f(g(x)) = x and g(f(x)) = x.

Verification: A. f(x) = 7x³ + 10 and g(x) = ∛\frac{x - 10}{7}

Thus, f(g(x)) = 7(\sqrt[3]{(x- 10)/7})³ + 10.

This leads to: 7(\frac{x - 10}{7}) + 10 = x - 10 + 10 = x (*This is correct!)

Now, g(f(x)) = \sqrt[3]{((7x^3 + 10) - 10)/7}

When ten cancels out, we are left with:

\sqrt[3]{7x^3/7} = \sqrt[3]{x^3} = x (* This is also correct!)

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Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z.
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Answer:

Wouldn't it be 10 out of 26, which is 2.6?

Step-by-step explanation:

There are 10 letters in "County Fair" and a total of 26 letters available, so you divide 26 by 10.

3 0
1 month ago
A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o
AnnZ [12109]

Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

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7 0
1 month ago
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James knows that when h walks, he takes about 120 steps per minute and that each step is 2.75 feet long. Which calculation is mo
babunello [11495]

Answer:

120*2.75*60/5280

= 3.75

Step-by-step explanation:

Considering James takes 120 steps in a minute, with 60 minutes in an hour and a mile consisting of 5,280 feet, we can establish his walking pace. By multiplying his steps per minute by the distance of each step (120 * 2.75), we determine the distance he covers in one minute. This value is then multiplied by 60 to account for the total hour. Finally, the total distance is divided by the feet in a mile (5,280), which results in a speed of 3.75 miles per hour. Thus, the calculation becomes 120*2.75*60/5280

4 0
1 month ago
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What are the domain range and asymptote of h(x)=(1.4)^x+5
Inessa [12311]
The range consists of all the valid y values, starting from 5.
6 0
1 month ago
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What is the product? (5r − 4)(r2 − 6r + 4)
Zina [12190]
(5r - 4)(r² - 6r + 4)

uses the distributive property for multiplication.

This expands to 5r(r² - 6r + 4) - 4(r² - 6r + 4)
which results in 5r³ - 30r² + 20r - 4r² + 24r - 16

as you combine like terms and simplify.

The outcome is 5r³ - 30r² - 4r² + 20r + 24r - 16

leading to a final expression of 5r³ - 34r² + 44r - 16. Choice A.
5 0
15 days ago
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