Given :
Emilie rides her bike x miles before she gets a flat tire.
She walks 1/3 mile to a bus stop and then takes a bus for 2 1/2 miles.
To Find :
Which expression shows how many miles Emilie travels in all.
Solution :
We know, total distance covered is given by sum of all the distance she travelled.
Distance covered, D = x + 1/3 + 2 1/2
D = x + 1/3 + 5/2
D = (6x + 2 + 15)/6
D = (6x + 17)/6
Therefore, total distance travelled by Emilie is (6x + 17)/6 .
The inverse of the function is f(x) = 
+ 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ![\sqrt[3]{x - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%208%7D%20%20)
----> Switch f(x) and x
x = ![\sqrt[3]{f(x) - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bf%28x%29%20-%208%7D%20%20)
----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8
Answer:
Step-by-step explanation:
Those are the side lengths not the angles so I'm not sure, also are you sure that's right? I believe there has to be a hypotenuse and the hypotenuse is the sum of the two shorter sides added together.
Do you have any more information? I can try to help :)
The end behavior of the function y = x² is given as follows:
f(x) -> ∞ as x -> - ∞; f(x) -> ∞ as x -> - ∞.
<h3>How to identify the end behavior of a function?</h3>
The end behavior of a function is given by the limit of f(x) when x goes to both negative and positive infinity.
In this problem, the function is:
y = x².
When x goes to negative infinity, the limit is:
lim x -> - ∞ f(x) = (-∞)² = ∞.
Meaning that the function is increasing at the left corner of it's graph.
When x goes to positive infinity, the limit is:
lim x -> ∞ f(x) = (∞)² = ∞.
Meaning that the function is also increasing at the right corner of it's graph.
Thus the last option is the correct option regarding the end behavior of the function.
<h3>Missing information</h3>
We suppose that the function is y = x².
More can be learned about the end behavior of a function at brainly.com/question/24248193
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