simplify the following rational expression?

Simplify The Following Rational Expression?

Answers

Answer 1
Solution:

[tex] \frac{6 {x}^{2} + 7x - 3 }{ - 3 {x}^{2} + x } \\ = \frac{6 {x}^{2} + 9x - 2x - 3 }{ - 3 {x}^{2} + x } \\ = \frac{3x(2x + 3) - 1(2x + 3)}{ - {3x}^{2} + x} \\ = \frac{(2x + 3)(3x - 1)}{x( - 3x + 1)} \\ = \frac{(2x + 3)(3x - 1)}{ - x(3x - 1)} \\ = \frac{(2x + 3)}{x} \\[/tex]

Hope it helps.

Do comment if you have any query.


Related Questions

15 points please help!

What is the volume of a spherical balloon after 11 seconds if the radius of the balloon is increasing at 1.3cm/sec? Round to the nearest tenth of a centimeter

Answers

Answer:

14?

Step-by-step explanation:

Y-4x=4 standard form

Answers

☆Answer :

y - 4x = 4

y - 4x - 4 = 0

or

y = 4 + 4x

Question 9 of 10
Solve -4x+ 2 26.
0 A. x-6
0 B. )( 6 0 C. -6 0 D. )( 6

Answers

Answer:

The answer is (C.

Step-by-step explanation:

Answer:

C. x≤−6

Step-by-step explanation:

Line m has an equation of y = 3x + 2

Identify the slope:

What is the slope of a line that is parallel to m?

What is the slope of a line that is perpendicular to m?

Answers

Answer:

y = 3x-2

Step-by-step explanation:

each side of a square is increasing at a rate of 6 cm/s

Answers

Answer:

16.. hope it helps :)

Step-by-step explanation:

Which system of inequalities is shown?

Answers

I think it’s D, hope this helps.

What is the difference between conduction and thermal radiation?

Answers

Answer:

Conduction is defined as the movement of heat along a body or between two bodies. Heat flows from the hotter to the cooler region until the temperature is uniform. Radiation is the wave-like transfer of heat.

Thermal radiation is electromagnetic radiation produced by the thermal motion of particles in materials. Thermal radiation is produced when heat from the movement of charges in a substance is transformed into electromagnetic radiation.

Please helppp I dont know which one it isssss... o.o

Answers

Answer:

MATH SUBJECT

Step-by-step explanation:

BRAINLEST IT PLSSS...MY ANSWER IS IN THE COMMENT SECTIONIF YOU BRAINLEST IT ILL COMMENT THE ANSWER<3

I need some help please help

Answers

Answer:

F(x) < 0 over the intervals (-∞, -0.7) and (0.76 , 2.5)

Step-by-step explanation:

F(x) is below 0 => y is negative on line between the intervals  (-∞, -0.7) and (0.76 , 2.5) for the rest it is above the line (>0 or y is positive)

Ms. Smith has part of $1240 invested at 9% and the rest at 6.5%. If the annual
return from the two investments is the same, how much is invested at each
rate?

Answers

Answer:

Step-by-step explanation:

Let x be the amount invested at 9%.

Then the amount invested at 6.5% is  1240-x  dollars.

From the condition, you have this equation

   0.09x = 0.065*(1240-x).

x=520

12. Kareem worked 2016 hours last year. He worked the some number of hours per week for 48 weeks. How many hours did he work per weck? He worked hours per week​

Answers

Answer:

42 hours a week

Step-by-step explanation:

2016 hours worked in 48 weeks

2016 ÷ 48 = 42

PLEASE ANSWER ASAP!!

Explain two different ways to solve 72^2/4

Answers

Answer:

Step-by-step explanation:

[tex]72^{\frac{2}{4}}=72^{\frac{1}{2}}= \sqrt{2*2*2*3*3}\\\\\\=2*3*\sqrt{2}\\\\=6\sqrt{2}[/tex]

Show all work x^2-10x^2+9

Answers

Answer:

(x - 9) (x - 1)

Step-by-step explanation:

x^2 - 10x + 9

= x^2 - 9x - x + 9

= x (x - 9) - 1 (x - 9)

= (x - 9) (x - 1)

Hope this helped!!

Find the slope of the line

Answers

Answer:

-3 / 2

Step-by-step explanation:

the answer is a fraction.

go "down 3" and "right 2"

this explains the fraction in word terms (down represents the negative number while right represents the direction of the point)

If you like my answer please mark me brainliest <33!!

What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Red Cab?

Answers

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx + b

    [] m is slope

    [] b is y-intercept

   The y-intercept is 2, so our b will be 2

   Slope is rise over run, or change in y over change in x , which is 6/3 = 2, so our m will be 2

Have a nice day!

   I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Hey guys please help
Ill give brainliest to whoever answers it correctly!

Answers

it’s 194 because you divide 492 by 38 and then you get another number and you multiple that by 15

Triangle ABC is a right triangle, as indicated. Angle C is triple the measure of Angle A. What is the measure of Angle A and Angle C?

Answers

Answer:I think you should go with *C

Step-by-step explanation:

You deposit $291.46 at an interest rate of 4% for 5 years. How much money will you have in the end? Round to the nearest cent.

Answers

Answer:

349.75

Step-by-step explanation:

349. 75
I not currently sure

GUYS PLEASE HELP EVERYONE LITTRLY KEEPS SKIPPING ON MY QUESTIONS!!
PLEASE TYSM TO THE PERSON WHO HELPED :)
QUESTIONSS DOWN HERE: TY AGAIN!
7. You take a trip to the local candy store and decide to purchase some licorice. The licorice can be bought in individual pieces for $0.07 each, or you can by a bag of licorice for $1.56 and that bag has 24 pieces in it. What is the better buy – JUSTIFY your answer.

Answers

Answer:

Step-by-step explanation:

Cost of 1 licorice = $ 0.07

Cost of 24 licorice = 0.07 *24 = $ 1.68

Cost of a bag of 24 pieces of licorice = $ 1.56

Cost of a bag of licorice is cheaper. So, the better buy is buying a bag

Ling Ling, a giant panda, eats an average of 40 pounds of bamboo every day! At that rate,
how many tons of bamboo would she eat in a year?

Answers

Answer:

The answer would be 14600 lbs

Step-by-step explanation:

take the days of the year (365) multiplied by how many lbs a day (40) which would be 14600 lbs

Answer:

The answer is 7.3 tons

Step-by-step explanation:

-5v-v=12?? Please answer asap

Answers

Answer:  v = -2

Step-by-step explanation:

-5v - v = 12

-6v = 12           [Divide -6 from both side]

v = -2

What is the quotient of 6÷2/3

Answers

Answer:

Im pretty sure it's 9

Step-by-step explanation:

6 : (2/3) = 91 = 9

2a³b⁴ can you write it as expanded form and please the answer

Answers

Step-by-step explanation:

[tex] = 2 {a}^{3} {b}^{4} [/tex]

[tex] = 2 {a}^{3} {b}^{3 + 1} [/tex]

[tex] = 2b \times {a}^{3} {b}^{3} [/tex]

[tex] = 2b \times {(ab)}^{3} [/tex]

Step-by-step explanation:

2×a×a×a×b×b×b×b.

hope this may help !

What is the length of segment AB? *

Answers

Answer:

The length of a line segment AB is 2 units.

What is

3.5x - 7 + 90?

Answers

Answer:

7/2x + 83

Step-by-step explanation:

What is

3.5x - 7 + 90?

3.5x - 7 + 90 =

7/2x - 7 + 90 =

7/2x + 83

I need help :) pleaseeeeeeeeeeeeeee

Answers

Answer:

40-5g

Step-by-step explanation:

have a niceeeeeeeeeee day

Answer:

[tex]40 - 25g[/tex]

Step-by-step explanation:

[tex]5(8 - 5g) \\ 40 - 25g[/tex]

Here you can simply solve the brackets.

How can you do it is,

You have to multiply each term inside the brackets by 5.

Hope this helps you.

Let me know if you have any other questions :-)

What is the division problem represented by this model?
https://dw6y82u65ww8h.cloudfront.net/organisations/328/9a16a3d1-5573-4497-97ef-6ea37852c85b/img_decimal_division_5.gif0.42 ÷ 6
0.32 ÷ 8
0.32 ÷ 6
0.42 ÷ 7

Answers

Answer:

0.04= 0.32/8

0.0533333333= 0.32/6

0.6= 0.42/7

Step-by-step explanation:

Do number 6. This is not a quiz this is for my students are you gonna help them?

Answers

Answer:

nope I think your students should be smarter then they can teach me how to do whatever that is and I can help someone else someday

Answer:

=c

Step-by-step explanation:

b−a−b−b+a+b+c

=b+−a+−b+−b+a+b+c

Combine Like Terms:

=b+−a+−b+−b+a+b+c

=(−a+a)+(b+−b+−b+b)+(c)

=c

B-girls spend time in bars, drinking and waiting to be picked up by customers. It is common to find B-girls in towns:

Answers

B-girls are more commonly found in towns with military bases.

The term "B-girls" is used to refer to women who are in bars and whose role is to entertain customers and motivate them to spend more money.

This term is often a synonym of "bar girls" or "hostess"; moreover, depending on the type of bar these girls offer different services including sexual services.

Besides this, b-girls are more common in towns or areas with a higher number of possible male customers. This includes towns with military bases because these are related to a high number of men and many of them are bar customers, which makes it profitable to have b-girls in these areas.

Learn more in: https://brainly.com/question/21672559

A fully loaded truck has a weight of 3 1/2 tons. What is the weight of the truck in
pounds? Record your answer and fill in the bubbles on the grid below. Be sure
to use the correct place value.

Answers

The answer is 7,000 pounds because each ton is 2,000 pounds
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