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ad-work [718]
3 years ago
15

Simplify the rational expression. State any excluded values. 7x-14/x-2

Mathematics
2 answers:
blagie [28]3 years ago
8 0
\bf \cfrac{7x-14}{x-2}\implies \stackrel{common~factoring}{\cfrac{7(x-2)}{x-2}}\implies 7

well, the only exclusion I can see is that x ≠ 2, because if "x" ever becomes 2, the denominator goes to 0 and the fraction goes poof.
zimovet [89]3 years ago
6 0

Answer:

the simplified expression = 7

and the exclude value =2.

Step-by-step explanation:

The rational expression is \frac{7x-14}{x-2}

The rational function is undefined id denominator is zero.

Therefore, the excluded value is

x - 2 =0

x = 2

Now, we simplify the expression

Factor out GCF from numerator. The GCF is 7

\frac{7(x-2)}{x-2}

Now, cancel out the common term in numerator and denominator

7

Therefore, the simplified expression is 7 and the exclude value is 2.

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Ms. Peters drove from her home to the park
worty [1.4K]

It takes 15 minutes for Ms. Peter to drive from park to her home

Given :

from her home to the park at an average speed of 30 miles per hour and

returned home along the same route at an average speed of 40 miles per hour

it takes 20 minutes to travel

Convert 20 minutes in to hour (divide by 60)

20 minutes = 1/3 hour

We know that distance = speed x time

 From home to park, distance  =speed \cdot time =30 \cdot \frac{1}{3} =10 miles

So , distance between home  and park is 10 miles

Now we calculate the time taken to return from park to home

time taken =\frac{distance}{speed} =\frac{10}{40}=\frac{1}{4}\\

Time taken is 1/4 hours. Convert it into minutes by multiplying by 60

\frac{1}{4} \cdot 60=15

So it takes 15 minutes for Ms. Peter to drive from park to her home

Learn more : brainly.com/question/18839247

5 0
2 years ago
Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sket
malfutka [58]

Answer:

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Step-by-step explanation:

3 0
3 years ago
Eighteen more than the number n is 125.what is the value of n​
Drupady [299]

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Step-by-step explanation:

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S_A_V [24]

Answer:

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The simplest form of 3/8 is 3/8.

Step-by-step explanation:

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5 0
3 years ago
Write an equation in point-slope form for the line that has a slope of 9/4 and contains the point (3, −4).
ozzi

Answer:

y+4 = 9/4(x-3)

Step-by-step explanation:

m=slope and b=y-intercept (probably useful for later on in the school years)

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Substituting in what we know

y--4 = 9/4(x-3)

y+4 = 9/4(x-3)

5 0
2 years ago
Read 2 more answers
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