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:
they are not like terms
Step-by-step explanation:
First, define the area of a triangle: A = 1/2bh. Let A = 16, and since it’s a right triangle, the base and the height can easily be translated to its two legs. Let one leg = x, and the other = x + 4. So this would give you the equation: 16 = .5(x)(x+4). Distribute so 16 = .5x^2 + 2x. You might want to get rid of the decimal/fraction, so multiply everything by 2 and this would give you 32 = x^2 + 4x. Recognizing that this will be a quadratic equation let x = 0 and bring everything unto one side, so 0 = x^2 + 4x - 32. Factor. 0 = (x+8)(x-4). Since a leg cannot be negative, x can only equal 4. This means that one leg is 4 and the other is 8.
Answer:
Your answer is 10
Step-by-step explanation:
So if you have to pay 55 out front and then continue to pay 19.50 monthly the equation will look like this:
19.50*m + 55 = x
(M stands for month)
She has 250 dollars to spend so add that in for x
19.50*m + 55 = 250.
Use inverse operations.
250-55 and 55-55
19.50*m = 195
195/19.50 and 19.50/19,50
m=10
Your answer is 10
Answer:
The two events are independent.
Step-by-step explanation:
Independent events are those events that are not affected by each other.
If events <em>X</em> and <em>Y</em> are independent then the occurrence of one of these two events does not depend on the other in any way.
For two independent events <em>X</em> and <em>Y</em> the joint probability is:

Define <em>X</em> and <em>Y</em> as follows:
<em>X</em> = a person has brown eyes
<em>Y</em> = a person is married.
The event of a person being married does not depend on the event of the person having brown eyes.
The two events are not at all related.
Thus, the two events are independent.