
Simplify.

Turn this into a mixed fraction.
Think : How many times does 54 go into 199??
Well, it goes into 199 3 times! :)
So, do 54 × 3, then subtract that number from 199.
54 × 3 = 162
199 - 162 = 37
So, our remainder is 37.
Our whole number is 3, because that's many times it went into 199.
And our denominator (bottom number) is 54, as it always has been.
So,

~Hope I helped!~
Answer:
293.04 miles
Step-by-step explanation:
249.48 miles / 12.6 gallons is a proportion that is given to be true so we look to find an equivalent fraction that has 14.8 gallons in it and that respects this proportion.
Option B:
is the new equation
Explanation:
The given equation is ![$y=-\sqrt[3]{x}$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx%7D%24)
We need to find the new graph which is shifted 7 units up and 4 units right.
First, we shall shift the graph 7 units up.
The general formula to shift the graph b units up is given by

Thus, to shift the graph 7 units up, let us substitute
and
in the general formula, we have,
![y=$-\sqrt[3]{x}$+7](https://tex.z-dn.net/?f=y%3D%24-%5Csqrt%5B3%5D%7Bx%7D%24%2B7)
Now, we shall shift the graph 4 units right.
The general formula to shift the graph b units right is given by

Thus, to shift the graph 4 units right, let us substitute
and
in the above equation, we have,
![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
Therefore, the new equation is ![$y=-\sqrt[3]{x-4}+7$](https://tex.z-dn.net/?f=%24y%3D-%5Csqrt%5B3%5D%7Bx-4%7D%2B7%24)
Therefore, Option B is the correct answer.
Answer:
4 divided by 1.
Step-by-step explanation:
im pretty sure thats right but correct me if im wrong please, and have a great day <3
Answer:
5
Step-by-step explanation:
The function
is
- decreasing for all

- is increasing for all
![x\in (0,2]](https://tex.z-dn.net/?f=x%5Cin%20%280%2C2%5D)
(see attached diagram for details).
The maximum value of the function is at endpoints -3 or 2. find y(-3) and y(2):

So, the maximum value is 5.