Vocabulary// the ____ states that any # plus it's opposite equals zero

The table of values below represents a linear function and shows Marco’s progress as he is pumping gas into his car. What is the

bogdanovich [222]

The answer is c . I just took the quiz .

5 0

3 years ago

Read 2 more answers

Give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4.

Greeley [361]

Answer:

Possibility 1: $\frac{(x+1)(x+1)}{(x-4)(x+5)}$

Possibility 2: $\frac{(x+1)(x+3)(x-3)}{x(x-4)(x+5)}$

Possibility 3: $\frac{-4(x-4)(x+1)}{-4(x-4)(x-4)}$

There are infinitely many more possibilities.

Step-by-step explanation:

So we are looking for a fraction in terms of x.

We have a horizontal asymptote so that means the degree of the top has to equal to degree of the bottom. It is also at y=1 which means the coefficient of the leading term on top and bottom must be the same (but not zero) since the same number divided by the same number is 1.

Now we also have a vertical asymptote at x=4 which means we need a factor of x-4 on bottom.

So there is a lot of possibilities. Here are a few:

Possibility 1: $\frac{(x+1)(x+1)}{(x-4)(x+5)}$

You have the degrees are the same on top and bottom and the leading coefficients are the same. You also have that factor of (x-4) on bottom.

Possibility 2: $\frac{(x+1)(x+3)(x-3)}{x(x-4)(x+5)}$

Possibility 3: $\frac{-4(x-4)(x+1)}{-4(x-4)(x-4)}$

Now a factor of (x-4) can be canceled here but you still have a factor of (x-4) left on bottom so you still have the vertical asymptote. You also still have the same leading coefficient on top and bottom (-4 in this case) and the same degree.

4 0

3 years ago

In the figure shown, which pair of angles must be supplementary?

Musya8 [376]

C because the two angles add to 180° making it supplementary

7 0

3 years ago

Read 2 more answers

What is the volume of the following triangular prism? 252 yd 3 126 yd 3 42 yd 3 84 yd 3

xenn [34]

Answer:

there is no rectangular prism shown, do you have the measurments?