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Svetradugi [14.3K]
3 years ago
10

What are the x-intercepts of the equation?

title="r(x) = x-1/x+4" alt="r(x) = x-1/x+4" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Answer:

<u>The only x-intercept is x = 1</u>

Step-by-step explanation:

The equation is:

r(x)=\frac{x-1}{x+4}

We can substitute y for r(x), to write in the notation:

r(x)=\frac{x-1}{x+4}\\y=\frac{x-1}{x+4}

To get y-intercept, we put x = 0

and

To get x-intercept, we put y =0

We want to find x-intercepts here, so we substitute 0 into y and solve for x. Shown below:

y=\frac{x-1}{x+4}\\0=\frac{x-1}{x+4}\\0(x+4)=x-1\\0=x-1\\x=1

<u>The only x-intercept is x = 1</u>

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Answer:

c. Change the length of side CB to 8 feet

Step-by-step explanation:

If the figures are similar, the ratios should be the same

Take the side of the larger triangle over the same side of the smaller


PR                PQ                     RQ

----------- = --------------------= ----------------

AC                AB                      CB


7.5                5                       10

----------- = --------------------= ----------------

 6                4                        9

7.5 /6 = 1.25

5/4 = 1.25

10/9 =1.1111(repeating)


The bases are not in the right ratio.  RQ over CB = 1.25.  Since RQ = 10  and the ratio is 1.25, we can solve for CB

10/CB = 1.25

Multiply by CB on each side

10 = 1.25CB

Divide by 1.25 on each side

10/1.25 = CB

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3 years ago
Whats 3m+2=8m-8 solved?
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Step-by-step explanation:

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2 years ago
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What is the midpoint of the line segment with endpoints (–1, 7) and (3, –3)?
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y midpoint = (y₁ + y₂)/2
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ANSWER
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