Which of the following rational functions is graphed below?

Mathematics

1 answer:

Anarel [89]3 years ago

8 0

Answer:

D. F(x) = $\frac{1}{(x+4)}^{2}$

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It takes Sofia c minutes to cycle from the library to the mall.It takes 1/8 of the time cycling to travel the same distance walk

Mamont248 [21]

Answer:
Equation: w = (1/8) c
c at w = 44 minutes is 352 minutes

Explanation:
We are given that:
1- Time taken to cycle from library to mall is c minutes
2- Time taken to walk from library to mall is w minutes
3- Time taken to walk = 1/8 time taken to cylcle
Therefore:
w = (1/8) c
Now, we want to find c if w = 44 minutes
All we do is substitute with the w in the equation and get c as follows:
w = (1/8) c
44 = (1/8) c
c = 44*8 = 352 minutes

Hope this helps :)

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Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
$a = \sqrt{ {b}^{2} + {c}^{2} }$
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
$a = 20 \\ b = 16 \\ c = x$
Therefore, we can plug into the formula to find x: $a = \sqrt{ {b}^{2} + {x}^{2} } \\ {a}^{2} = { \sqrt{ {b}^{2} + {x}^{2} } }^{2} \\ {a}^{2} = {b}^{2} + {x}^{2} \\ {a}^{2} - {b}^{2} = {x}^{2}$
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
${x}^{2} = {a}^{2} - {b}^{2} \\ \sqrt{ {x}^{2} } = \sqrt{ {a}^{2} - {b}^{2} } \\ x = \sqrt{ {a}^{2} - {b}^{2} }$
We square root each side to find the variable answer for x. Then we plug in the numbers: $x = \sqrt{ {(20)}^{2} - {(16)}^{2} } \\ x = \sqrt{400 - 256} \\ x = \sqrt{144} \\ x = 12$
We find that x = 12. The answer is A. 12.

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10.50 and the total cost will be 160.50.

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