Answer:
The graph is attached below.
Step-by-step explanation:
The volume of the box containing the coffee mugs is,

Then the function representing the side length, in inches, for the box is:

Now, it is provided that the company decides to double the volume of the box.
That is, the new volume will be:

Then the side length, in inches, for the box will be:
![g_{n}(x)=\sqrt[3]{2x^{3}} =\sqrt[3]{2}x](https://tex.z-dn.net/?f=g_%7Bn%7D%28x%29%3D%5Csqrt%5B3%5D%7B2x%5E%7B3%7D%7D%20%3D%5Csqrt%5B3%5D%7B2%7Dx)
Then the graph representing the function, formed using the following points is:

Answer:
Rearrange terms
3(2+)+15
3({\color{#c92786}{2+q}})+153(2+q)+15
3(+2)+15
3({\color{#c92786}{q+2}})+153(q+2)+15
2
Distribute
3(+2)+15
{\color{#c92786}{3(q+2)}}+153(q+2)+15
3+6+15
{\color{#c92786}{3q+6}}+153q+6+15
3
Add the numbers
3+6+15
3q+{\color{#c92786}{6}}+{\color{#c92786}{15}}3q+6+15
3+21
3q+{\color{#c92786}{21}}3q+21
Solution
3+21
Add 222 and 194 together; 416. Then subtract; 627 - 416 = 211. Add one because that means she got over 627. She needs to get a score of 212 to beat the record. I hope that helps!
Answer:
The third option
Explanation:
The given expression is:
(x+2)² + 5(x+2) - 6 = 0
Let's check each of the given options:
1- Option A:
(u+2)² + 5(u+2) - 6 = 0
At u = x - 2, the expression would become:
(x-2+2)² + 5(x-2+2) - 6 = 0
x² + 5(x) - 6 = 0 ..........> This option is incorrect
2- Option B:
u² + 4 + 5u - 6 = 0
At u = x-2, the expression would become:
(x-2)² + 5(x-2) - 2 = 0 ..........> This option is incorrect
3- Option C:
u² + 5u - 6 = 0
At u = x+2, the expression would become:
(x+2)² + 5(x+2) - 6 = 0 .........> This option is correct
4- Option D:
u² + u - 6 = 0
At u = x+2, the expression would become:
(x+2)² + (x+2) - 6 = 0 ..........> This option is incorrect
Hope this helps :)