You can eliminate B and D because it’s using $\frac{g}{f}$ , but the question is asking $\frac{f}{g}$ . So it’s either A or C. They are both written correctly, but out of the two, A is correct because just that x ≠ $\sqrt{7}$ part of it is what makes it true.

The reason being is that the only thing that won’t make $\frac{2x+1}{x^{2}-7 }$ true is when the denominator equals 0, because anything divided by 0 is undefined. So, when you plug $\sqrt{7}$ for x in the denominator you get: $\sqrt{7^{2} } -7$ . The $\sqrt{7^{2} }$ part just turns into 7, and 7 - 7 is 0. So you don’t want x to equal $\sqrt{7}$ .

<u>So the answer is A:</u> $\frac{2x+1}{x^{2}-7}$ , $x\neq$ ± $\sqrt{7}$

There you go my friend!

I hope you understand and that this helps with your question! :)

7 0

3 years ago

F(x) = 1,200x + 400. What is the meaning of the y intercept of the function ?

vesna_86 [32]

Answer:

see below

Step-by-step explanation:

F(x) = 1,200x + 400

The y intercept is the value of the function when the x value is o

When x = 0 the y value is 400

It is the initial value of the function

8 0

3 years ago

consider a circle with a radius of 10 centimeters. What is the length of the arc that measures 60° for the given circle.

Kobotan [32]

Answer:

3 1/3π

Step-by-step explanation:

First, you have to find the circumference. The circumference, based on the equation of 2rπ, comes out as 20π. Since you have to find the length of the arc that is 60 degrees, divide 60 by 360 to see how much of the circle 60 degrees is. It results in 1/6, so then you simply have to multiply 20π by 1/6.

7 0

3 years ago