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earnstyle [38]
2 years ago
5

Which of the following is equal to the rational expression when x*-2 or 3?

Mathematics
1 answer:
Sunny_sXe [5.5K]2 years ago
8 0

The value of the expression in the simplified form is f(x) = x+3/x-3

<h3>Rational expression</h3>

Rational expressions are expressions written as a ratio of two integers or expressions.

Given the rational expression below;

f(x) = x²+5x+6/x²-x-6

Factorize the numerator and denominator

f(x) = x²+3x+2x+6/x²-3x+2x-6

f(x) = x(x+3)+2(x+3)/x(x-3)+2(x-3)

f(x) = (x+3)(x+2)/(x+2)(x-3)

f(x) = x+3/x-3

Hence the value of the expression in the simplified form is f(x) = x+3/x-3

Learn more on rational expression here: brainly.com/question/1928496

#SPJ1

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Given GHI G (4,-3), H (-4,2), and I (2,4), find the perpendicular bisector of HI in standard form.
Olin [163]

Answer:

3x+y=0

Step-by-step explanation:

step 1

Find the slope of segment HI

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

we have

H (-4,2), and I (2,4)

substitute the given points

m=\frac{4-2}{2+4}

m=\frac{2}{6}

simplify

m=\frac{1}{3}

step 2

Find the slope of the perpendicular line to segment HI

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=\frac{1}{3}

so

m_2=-3

step 3

Find the midpoint segment HI

we know that

The formula to calculate the midpoint between two points is equal to

M(\frac{x1+x2}{2},\frac{y1+y2}{2})  

we have

H (-4,2), and I (2,4)

substitute

M(\frac{-4+2}{2},\frac{2+4}{2})

M(-1,3)  

step 4

we know that

The perpendicular bisector of HI is a line perpendicular to HI that passes though the midpoint of HI

Find the equation of the perpendicular bisector of HI in point slope form

y-y1=m(x-x1)

we have

m=-3

M(-1,3)  

substitute

y-3=-3(x+1)

step 5

Convert to slope intercept form

y=mx+b

Isolate the variable y

y-3=-3x-3

y=-3x-3+3

y=-3x

step 6

Convert to standard form

Ax+By=C

where

A is a positive integer

B and C are integers

y=-3x

Adds 3x both sides

3x+y=0

see the attached figure to better understand the problem

3 0
4 years ago
Danny had $116 to spend on nine books. After buying them he had $72 left. How much did each book cost?
alexdok [17]
$4.89
- First subtract 116-72
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3 years ago
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In the diagram shown, the distance between points A and C is the same as the distance between points B and G.
Over [174]
I believe the answer is parallel
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3 years ago
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The price of coffee was 220 yesterday today the price Rose to 245 find the percentage increase
tekilochka [14]
Increase = 245 - 220 = 25

Percentage increase = 25/220 x 100 = 11.36% (nearest hundredth)


Answer: 11.36%
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Lin runs 4 laps around a track in 5 minutes how many minutes per lap is that
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Answer:

1 minute and 25 seconds per lap or 1.25 minutes.

Step-by-step explanation:

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