What is the quotient of the rational expressions shown below? Make sure
your answer is in reduced form.
x2 + 5x +6/x-6/x^2-9/2x-12

Answers

Answer 1

Picture of the right answers

What Is The Quotient Of The Rational Expressions Shown Below? Make Sureyour Answer Is In Reduced Form.x2
Answer 2

Hence, the quotient of the rational expression given below is x-3.

How to solve?

To solve the division we will use basic properties of rational numbers here.

The first step is to factor numerator/denominator if possible.

To divide the expressions follow the following steps

1.leave the first fraction as it is

2. Convert division to multiplication

3.Turn the second fraction upside down

([tex]x^{2}[/tex]+5x+6)/x-6 / ([tex]x^{2}[/tex]-9)/2x-12

=([tex]x^{2}[/tex]+5x+6)(2(x-6))/([tex]x^{2}[/tex]-9)(x-6)

=2([tex]x^{2}[/tex]+5x+6)/[tex]x^{2}[/tex]-9

By splitting the quadratic equation into factors we get,

[tex]x^{2}[/tex]+5x+6=(x+2)(x+3)

and using the formula [tex]a^{2}[/tex]-[tex]b^{2}[/tex]=(a-b)(a+b) we get [tex]x^{2}[/tex]-9=(x-3)(x+3)

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

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

hence, the quotient of the given ration expression is x-3.

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Related Questions

I’ll give you a brain list !
Suzie is making macaroni for her cousin's birthday party. For every 9 cups of macaroni, she needs to use 27 cups of water. Match the proportional relationships in the table Suzie can use.

Answers

Answer: 1 cup of macaroni for 3 cups of water

Step-by-step explanation:

9/27 divided 3=1 cup/3 cup

i need help 17 + p > 18

Answers

Answer:

P>1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

P+17>18

Step 2: Subtract 17 from both sides.

P+17-17>18-17

P>1

I need help please but if you can give me the step by step it would be helpful thank you

Answers

Answer: (x^2 -6x +10)(x - 2)

All the steps are shown in the picture below:

I need help please asap

Answers

Answer:

0, 1/13, 49/100, 1/2, 11/20, 8/9, 1

Step-by-step explanation:

You know the smallest is 0, largest is 1

the middle is 1/2

49/100 is slightly smaller than 1/2 or 50/100

11/20 is slightly larger than 1/2 or 10/20

1/13 is slightly larger than 0

8/9 is slightly smaller than 1

please give thanks :)

and brainliest :)

Four less than the product of 2 and a number is the same as negative eightteen. Find the number

Answers

Answer:

12

Step-by-step explanation:

4-2x=-18

-4        -4

-2x=-24

-2      -2

x=12

Need help plz need to solve for x.
1) 2x-7= -2x+1
2) 2(x-7)=6-2x

Answers

1) x=2
2) x=5

....................

Answer:

1( ×=2

2( x=5

ekekjejew

Troy runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Troy estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?

Yes


No it is much high



No it is much low

Answers

it is much too low as if he runs 4 every year for the past 11 years he’s ran about 44 marathons and each marathon is 26 miles

a family wants to rent a car to go on vacation. Company A charges $30.50 and 9 cents per mile. Company B charges $70.50 and 14 cents per mile. How much more does Company B charge for x miles than company A?
For x miles, Company B charges __ dollars more than company A.

Answers

Answer:

$(39.24x)

Step-by-step explanation:

We need to find out their difference for one mile before calculating their difference for x miles.

Difference per mile = ($70.50 + $0.14) - ($30.50 + $0.90)

                                = $70.64 - $31.40

                                = $39.24

Difference for x miles = $39.24 × x miles

                                    = $(39.24x)

2b+ f + d + 3b + 2f + 2d + 8

Answers

Answer:

Did you want me to simplify the expression???

Step-by-step explanation:

3f+5b+3d+8

Which distance measurement is the most precise?

A. 10 kilometers

B. 2.54 centimeters

C. 100 meters

D. 26.3 miles​

Answers

Answer:

B

seems to be the most precise. I don't know what it means by precise but B is the lucky guess

Carla packed this box with 1-centimeter cubes. What is the volume of the box?

Answers

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

3 + 5 is​ ___ units from ​3, in the​ _______ direction.

Answers

Answer:

7 unit

Step-by-step explanation:

mark me as brainliest and follow and like my answer

a cleaning solution calls for a ratio of 1 cup of liquid cleanser to 6 cups of water. To make 42 cups of cleaning solution, how many cups of water are needed?

Answers

6:36 so 36 cups of water are needed

Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken
line?


Is the point (0,0) part of the solution of y<-x2 +4x+5

Answers

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the border line of the graph of y < - x² + 4x + 5

A broken line results from the inequality using < or >.

x and y are both equal to zero at the coordinates (0, 0).

Substitute the values of x = 0 nad y = 0 in the inequality  y < - x² + 4x + 5

So, (0) < (0)² + 4(0) + 5

Since (0) < (0)² + 4(0) + 5 is valid,

Thus, the coordinates (0, 0) are part of the solution.

Learn more about inequalities here:

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Write the equation of a parabola containing the point 6,3 with vertex at 5,-3

Answers

Answer:

y = 1/3 x 2 +4 x + 15

Step-by-step explanation:

y = a (x - h)2 + k

where (h,k) are the coordinates of the vertex and a is a multiplier

here (h,k) = ( - 6, 3)

y = a ( x + 6)2 + 3

to find a substitute (12,9) into the equation

9 = 18 a + 3

18 a = 9 - 3 = 6 a = 6/18 = 1/3

y = 1/3 (x + 6)2 + 3

distributing gives

y = 1/3 (x2 + 12x + 36) + 3

y = 1/3x2 + 4x + 15

Help me please ASAP PLEASEEEE

Answers

Answer:

1 ,3,4

Step-by-step explanation:

Answer:

1, 4 and 5

Step-by-step explanation:

sorry if im wrong

can someone help please​

Answers

I’d say the letter b

7x-7=2x-1 what is x please help

Answers

Answer:

x= 1.2

Step-by-step explanation:

Step 1: Subtract 2x from both sides.

Step 2: Add 7 to both sides.

Step 3: Divide both sides by 5.

Hope this helped :)

Answer:

7x+=2x-1

7x+2x=7+1

9x=8

x=9-8

x=1

Write an equation that represents the tile pattern in the table below

Answers

Answer:

y=3x+2

Step-by-step explanation:

First find the slope or m in the line of equation y=mx+b

to find slope you need two points, plug in to y2-y1 / x2-x1

so lets use points (0,2) (1,5)

5-2 / 1-0 = 3

m=3

we have y=3x + b

now we find b by pugging in a point, let's use (0,2)

2 = 3(0) + b

b= 2

y=3x+2

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If the contractor has 40 cubic yards of dirt to haul and a budget of $1000, which hauling company should she hire? Explain or show your reasoning.

Answers

EZ Evacuation : it is less expensive .

can someone please help me​

Answers

Answer: 19

Step-by-step explanation:

if k = am+3mx what is the value of m in terms of
x
Please help

Answers

Answer:

k = am + 3mx

Group by taking common factor m

k = m(a + 3x)

Divide both sides by (a +3x)

k / (a+3x) = m

Then, m = k / (a+3x). This is the answer

Step-by-step explanation:

Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Answers

Your answer : is b (the letter b)

Which situation can be represented by the expression -2+(-1)

Choose 1 Answer:

Answers

definitely (A). he was already under 2 and then went down an additional 1.

Answer:

A

Step-by-step explanation:

I checked on khan

Pls help me answer this question for my homework

Answers

Answer:

4

Step-by-step explanation:

2 goes to both A and B which makes it not a function because if I remember right the domain isnt allowed to repeat.

Teen Court is a juvenile diversion program designed to circumvent the formal processing of first-time juvenile offenders within the juvenile justice system. An article reported on a study in which offenders were randomly assigned either to Teen Court or to the traditional Department of Juvenile Services method of processing. Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period, whereas 11 of the 54 Department of Juvenile Services individuals did so. Does the data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals who do so

Answers

Answer:

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

Step-by-step explanation:

Step(i):-

Given first sample size (n₁ ) = 57

Of the 57 Teen Court individuals, 18 subsequently recidivated during the 18-month follow-up period

First sample proportion

                                   [tex]p^{-} _{1} = \frac{x_{1} }{n_{1} } = \frac{18}{57} =0.3157[/tex]

Second sample proportion

                               [tex]p^{-} _{2} = \frac{x_{2} }{n_{2} } = \frac{11}{54} =0.2037[/tex]

Null Hypothesis : p₁⁻ = p₂⁻

Alternative Hypothesis :  p₁⁻ ≠ p₂⁻

Step(ii):-

Test statistic

         [tex]Z = \frac{p_{1} ^{-} -p^{-} _{2} }{\sqrt{PQ(\frac{1}{n_{1} } +\frac{1}{n_{2} } )} }[/tex]

        where

                   [tex]P = \frac{n_{1}p^{-} _{1} +n_{2} p^{-} _{2} }{n_{1} +n_{2} }[/tex]

                   

              [tex]P = \frac{57 X0.3157+0.2037X54}{54+57} = 0.2612[/tex]

             Q = 1 - P = 1 - 0.2612 = 0.7387

         

             [tex]Z = \frac{0.3157-0.2037}{\sqrt{0.2612 X0.7387 (\frac{1}{57} +\frac{1}{54} )} }[/tex]

           Z  =    1.4017

Level of significance ∝ =0.05

The tabulated value Z₀.₀₅ = 1.96

Z-statistic = 1.4017 < 1.96 at 0.05 level of significance

Null hypothesis is accepted

The data suggest that the true proportion of Teen Court individuals who recidivate during the specified follow-up period differs from the proportion of Department of Juvenile Services individuals

PLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST!!
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8200 ​ft, the liquid boils at 199.42°F. At an altitude of 4700 ​ft, the liquid boils at 206.07°F. Write an equation giving the boiling point b of the​ liquid, in degrees​ Fahrenheit, in terms of altitude​ a, in feet. What is the boiling point of the liquid at 2500 ​ft?
Write an equation.
b=

Answers

Answer:

b=-0.0019a + 215

at 2500 ft, b=210.25 degrees F

Step-by-step explanation:

First find the slope. a=altitude, b = temperature

slope is b2-b1 / a2-a1

points are (8200, 199.42) and (4700, 206.07)

(206.07 - 199.42) / (4700-8200)

= 6.65/ -3500

= - 0.0019

we have b = -0.0019a + intercept

plug in a point to find intercept

199.42 = -0.0019*8200 + intercept

intercept = 199.42 + 15.58 = 215

b=-0.0019a + 215

at a=2500 ft, substitute into equation

b= -0.0019*2500 + 215

= -4.75 + 215

= 210.25 degrees F

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Solve the given equation for v.

Answers

Answer:(3t)^2

Step-by-step explanation:

Steps below

A Hummer gets 300 miles on 20 gallons of gas, how many miles can it be driven on 50 gallons of gas?

Answers

Answer:

750 miles

Step-by-step explanation:

Step one:

Given data

we are told that the hummer gets to 300miles on 20 gallons of gas

Required

The distance that the Hummer can go on 50 gallons of gas

Step two:

if 20 gallons gets to 300miles

the 50 gallons will get to x miles

cross multiply we have

[tex]x= 50*300/20\\\\x=15000/20\\\\x=750 miles[/tex]

1. Is an arithmetic sequence a function?
Sometimes, it depends on the arithmetic sequence.
Yes, always.
Not enough information is given.
No, never

Answers

Yes, always.

A sequence is a function that takens a positive integer and maps it some other number. For any integer you plug into the sequence, you only ever get one output.

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