Write an equation that represents a vertical translation 7 units down of the graph of g(x)=|x|.

Mathematics

1 answer:

polet [3.4K]3 years ago

5 0

Answer:

g(x) = |x| - 7

Step-by-step explanation:

Given the parent function, g(x) = |x|, and its vertex at (0, 0):

Vertical translations: g(x) = |x| + k where:

k > 0, shifts up |k | units

k < 0, shifts down |k | units

Thus, a vertical translation of the parent graph can be represented with the following absolute value function:

g(x) = |x| - 7

where the vertex occurs at point, (0, -7).

Please mark my answers as the Brainliest, if you find this helpful :)

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carlos can write 3 to 4 pages in his journal in 2/3 hour. if he writes for 5 hours, what's a reasonable number of pages he can w

zheka24 [161]

Answer:

23, 24, 25, 26, 27, 28, 29, or 30

22.5 ≤ p ≤ 30

Step-by-step explanation:

So we know that in 2/3 hours, Carlos can write 3 to 4 pages.

First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.

$\frac{5}{\frac{2}{3}}=7.5$

So there are 7.5 2/3's in 5.

Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.

7.5(4) = 30

So the maximum amount of pages Carlos can write in 5 hours is 30.

Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.

7.5(3) = 22.5

So the minimum amount of pages Carlos can write in 5 hours is 22.5.

Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.

22.5 ≤ p ≤ 30

Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.

I hope you find my answer and explanation to be helpful. Happy studying.

8 0

3 years ago

Lus Find the measure of 46. 46 = [?] 24 46 Enter

defon

Answer:

Step-by-step explanation: