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AveGali [126]
3 years ago
11

What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.
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Which statement describes the solution to the system of equations?
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The following chart shows the number of rows in an auditorium and the total number of seats. What equation defines the number of
Anastaziya [24]

Answer:

<em>Answer: c) S=20R+60</em>

Step-by-step explanation:

<u>Linear Model</u>

The chart supplied shows the number of rows (R) in an auditorium and the total of seats (S).

We'll find the equation that relates them. The equation of a line can be expressed in the slope-intercept form:

S = mR + b

Where m is the slope and b is the intercept.

The slope is found by:

\displaystyle m=\frac{S_2-S_1}{R_2-R_1}

We'll use two sample points (20,460) and (45,960):

\displaystyle m=\frac{960-460}{45-20}=\frac{500}{25}

m = 20

The value of b can be found by using one of the points, for example (20,460), and having m=20:

460 = 20*20 + b

Thus: b = 460 - 400 = 60.

The equation is:

S = 20R + 60

You can test the other points and check they belong to the same line.

Answer: c) S=20R+60

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vivado [14]

Answer:

1

Step-by-step explanation:

Hello :)

So to answer this problem, we can use the rise over run formula.

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