Mathematics High School

Simplify the expression given below.

X+2/x^3+2x^2-9x-18 divided by 3x+1 / x^2-9

A. 1 / (x+3)(x-3)
B. 3x +1
C. 1 / 3x+1
D. 3x + 1 / (x+3) (x-3)

Simplify The Expression Given Below.X+2/x^3+2x^2-9x-18 Divided By 3x+1 / X^2-9A. 1 / (x+3)(x-3)B. 3x

Answers

Answer 1

Answer:

D

Step-by-step explanation: your welcome have a good day

Answer 2

Answer:

C.  [tex] \dfrac{1}{3x + 1} [/tex]

Step-by-step explanation:

[tex] \dfrac{x + 2}{x^3 + 2x^2 - 9x - 18} \div \dfrac{3x + 1}{x^2 - 9} = [/tex]

Factor all polynomials.

[tex] = \dfrac{x + 2}{x^2(x + 2) -9(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x^2 - 9)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \div \dfrac{3x + 1}{(x + 3)(x - 3)} [/tex]

To divide by a fraction, multiply by its reciprocal.

[tex] = \dfrac{x + 2}{(x + 3)(x - 3)(x + 2)} \times \dfrac{(x + 3)(x - 3)}{3x + 1} [/tex]

Cancel out common factors in the numerator and denominator.

[tex] = \dfrac{1}{3x + 1} [/tex]

Related Questions

What’s this? I need help

Answers

Answer:

Its PS equals QR: A

Step-by-step explanation:

Please help me with this question!!

Answers

Answer:acute

Step-by-step explanation:

Which statements describe America’s workforce during World War II? Check all that apply.

Hundreds of thousands of women signed up for the US military.

Women were hired to do jobs traditionally done by men.

All forms of discrimination in the workplace were brought to an end.

Male workers took on roles that had been done by women in the past.

New laws ended discrimination in the government and defense industries.

More African Americans and other minority workers were able to find jobs.

Answers

Answer:

The person above (or below) me is correct, the answer is:

A.) Hundreds of thousands of women signed up for the US military.

B.) Women were hired to do jobs traditionally done by men.

E.) New laws ended discrimination in the government and defense industries.

F.) More African Americans and other minority workers were able to find jobs.

Step-by-step explanation:

I had this question on Edge, 2022.

(See the attachment below.)

Hope this helped, good luck on the assignment and quiz!

The  statements describe America’s workforce during World War II are:

Hundreds of thousands of women signed up for the US military. Women were hired to do jobs traditionally done by men. New laws ended discrimination in the government and defense industries. More African Americans and other minority workers were able to find jobs.

What happened to the American labour force during World War II?

Labor shortages were caused by military and economic development. To close the gender gap, the government and industry encouraged women to enter the labour force. While the majority of working women continued to work in more traditional jobs such as waitressing and teaching, millions took better-paying jobs in military manufacturers.

By the end of the war, over six million women had entered the labour sector, and by 1945, they accounted for about 37 percent of the workforce, up from only 27 percent in 1940.

Their contributions to the war effort were critical. Women accounted up 65 percent of all employees in the aerospace industry alone.

Learn more about World war II here:

https://brainly.com/question/1449762

#SPJ3

It takes Andre 6 minutes to swim 5 laps. (a). How many laps per minute is that? Include how you arrived at your solution.

Answers

Answer:

1.2 minutes

Step-by-step explanation:

So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1.  The first step is to divide 6/5. Then you get 1.2

What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)

Please help

Answers

Answer:

C. (3,-2)

Step-by-step explanation:

Sam runs 6 miles in 45 minutes. At the same rate, how many minutes would he take to run 4 miles?

Answers

Answer:

It would be 30 mph

Step-by-step explanation:

45/6=7.5

7.5*4=30

Answer:

30 minutes

Step-by-step explanation:

Each mile takes him 7 minutes 30 seconds. So you will do 7.5 x 4 to get 30 minutes

15 inches.......3 inches Which measurement is closest to the total surface area of the container in square inches?

Answers

Answer:

[tex]Area = 339.29\ in^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

Determine the total surface area

From the attachment:

[tex]r = 3\ in[/tex] --- radius

[tex]h = 15\ in[/tex] --- height

The total surface area:

[tex]Area = 2\pi r(r + h)[/tex]

Substitute values for r and h

[tex]Area = 2\pi * 3(3 + 15)[/tex]

[tex]Area = 2\pi * 3(18)[/tex]

Remove bracket

[tex]Area = 2\pi * 3 * 18[/tex]

[tex]Area = 2\pi * 54[/tex]

[tex]\pi = \frac{22}{7}[/tex]

So, we have:

[tex]Area = 2 * \frac{22}{7} * 54[/tex]

[tex]Area = \frac{2 * 22 * 54}{7}[/tex]

[tex]Area = \frac{2376}{7}[/tex]

[tex]Area = 339.42[/tex]

Hence, the closest is:

[tex]Area = 339.29\ in^2[/tex]

solve the system by graphing.
y = -x + 5

y = x + 1

Answers

Step-by-step explanation:

the answer from the graph is:

(2 , 3)

if two angles in a triangle are 40° and 30°, then the third angle measures 110

Answers

Answer:

Si

Step-by-step explanation:

PLZ HELP ILL GIVE BRAINLIEST

Answers

Answer:

-1 -9i, where a = -1 and b = -9

Step-by-step explanation:

1st step is to open up the brackets. Since there's a (-) in front of the second bracket, we have to multiply every term by -1, so positive becomes negative, negative becomes positive etc.

4-i-5-8i

Then we collect like terms.

-1 -9i

This is the answer. It looks wrong since the variables are 'positive' in a +bi, but you have to remember that a variable can be represented as a, but its actual value could be negative, in this case -1. This is the same with b, as b could be the same as -9.

This is an expression, so we can't multiply everything by -1 to make it 'look right'. You can only multiply by -1 or 'alter' the terms when the expression equates to something.

Whats 3^2 in standard form?

Answers

Answer:

9

Step-by-step explanation:

3*3 = 9

if that's what you're asking

6x + 3y = 12
4x + y = 14 what is the solution


Answers

Answer:

x=5 y=-6

Step-by-step explanation:

6x + 3y = 12  , 4x + y = 14

4x*3+y*3=14*3

12x+3y=42 , 6x+3y=12

(12x-6x)+(3y-3y)=30

6x=30, x=5

4*5 + y = 14

y=-6

Please can someone answer this question quickly please

Thanks

Answers

Answer:

C. 5/7

Step-by-step explanation:

Answer:

It is C.5/7

Step-by-step explanation:

Hope this helped have an amazing day!

Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,

Answers

Answer:

B and C are correct Hope this helps <3

Step-by-step explanation:

Answer:

B and C?

Step-by-step explanation:

Im a little unsure about C but im about99% sure that is correct

-1/6 + 4/5 Write your answer in simplest form

Answers

Answer:19/30

Step-by-step explanation:

1. multiply and divide(left to right)-1/6

=-1/6+4/5

2.multiply and divide(left to right)4/5

=-1/6+4/5

3. add and subtract(left to right)-1/6+4/5=19/30

=19/30

I need help solving this practice question ​

Answers

[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]

Fun fact

Bananas are curved because they grow towards the sun ☀️

Answer: the answer is 18

Step-by-step explanation:

Can someone tell me What dose Y=??

Answers

the answer to your question is y= 1/4+1x

i need help! can you also explain it?

Answers

Answer:

Number B

Step-by-step explanation:

if g(x) = -3x +1 fill out the following table of values​

Answers

Answer:

where is the table by the way

I’ll give Brainliest ? Please help

Answers

1 will equal 55 hope this helps
The answer for angle one is b

WILL MAKE BRAINLIEST
The Point of Concurrency made from medians is a(n):

Answers

Answer:

centroid

Step-by-step explanation:

A=18 B=3 bc +4 Substitute the value with a number evaluate each algebraic expression using the given values. What is the number?

Answers

Answer:

YNW MELLY

Step-by-step explanation:YNW MELLY

PLEASE PLEASE HELP!~!!!!!!!!!!!!!!!!!!!!!!!!

Answers

9514 1404 393

Answer:

  $6.87

Step-by-step explanation:

The cost of 0.6 pounds of blueberries is ...

  (0.6 lb)($3.98/lb) = $2.39

The cost of 1.8 pounds of clementines is ...

  (1.8 lb)($2.49/lb) = $4.48

Then the total cost of the purchase is ...

  $2.39 +$4.48 = $6.87

The combined cost is $6.87.

8 X 9 X 2 = ? What is that?

Answers

Answer:

144

Step-by-step explanation:

8 x 9= 72

72 x 2= 144

6(x+4)+1= pleaseee help

Answers

The answer is this I think 6x+25

To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.

Answers

Answer:

9 hours.

Step-by-step explanation:

31 + 5.9*t < 84.10.

To solve it, collect the constant terms on the right side:

5.9*t < 84.10 - 31 = 53.10,

Hence, t < 53.10%2F5.9 = 9 hours.

Answer:

7 hours

Step-by-step explanation:

99.10-34=65.1

65.1 divide by 9.30=7

Hope this helps!!

Write an equation of the line passing through point P(2, 3) that is perpendicular to the line y -4 = -2(x+3)

Answers

Perpendicular = opposite sign and reciprocal slope
Slope of -2 turns into 1/2
Y-y1 = m(x-x1)
Solution; y-3 = 1/2(x-2)

Please help, fast! 50 points!

Answers

Answer: e?

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

A restaurant what is quantitative and flower Child towers the ratio of the number of corn to tell us to the number of flour tortillas is fortified what is the measure of the number of how to tease to the total number of tortillas I know it’s a lot but plz help

Answers

Answer:

i belive it is 2:5

Step-by-step explanation:

this is because 2 and 3 represent both the corn and flour the sum is the total

A cereal factory purchases chopped
almonds in bags weighing 5 pounds
cach. A factory machine adds
pound of the chopped almonds to
each box of Almond Crunch cereal.
If the factory plans to produce 1,200
boxes of Almond Crunch cereal, how
many bags of chopped almonds does
the factory need to purchase?

Answers

Answer:

need poi

Step-by-step explanation:

Answer:

1,200 /5

Step-by-step explanation:

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