How do you solve this and method do you use?

How Do You Solve This And Method Do You Use?

Answers

Answer 1

Answer: B. 3x (1 - 3x²)

Step-by-step explanation:

Given

[tex]\frac{9x^4-27x^6}{3x^3}[/tex]

Factorize the numerator

=[tex]\frac{3x^3*3x-3x^3*9x^3}{3x^3}[/tex]

=[tex]\frac{9x^4(3x-9x^3)}{3x^3}[/tex]

Cancel terms in numerator and denominator

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

=[tex]\boxed {3x(1-3x^2)}[/tex]

Hope this helps!! :)

Please let me know if you have any questions


Related Questions

Can someone pls explain how to do order of operations

Answers

Answer:

do you mean PEMDAS?

Step-by-step explanation:

parenthesis, exponents, multiplication, division, addition, and subtraction

you solve in order and go left to right

if you give an equation i can explain it better, but it's basically that

Step-by-step explanation:

1- solve operation in parantheses or brackets.

2- we solve any exponent

3- solve all multiplication and division left to right

PLEASE HELP

Combine as indicated by the signs. Write variables alphabetically in your answers.

Answers

Answer:

[tex]\frac{-4xy}{x^2-y^2}[/tex]

Step-by-step explanation:

[tex]\frac{x-y}{x+y}-\frac{x+y}{x-y} \\\\\\=>\frac{(x+y)(x-y)}{(x-y)(x-y)} -\frac{(x+y)(x-y)}{(x+y)(x+y) } \\\\=> \frac{(x-y)(x-y)-(x+y)(x+y)}{(x+y)(x-y)} \\\\=>\frac{x^2-xy-xy+y^2-x^2-xy-xy-y^2}{(x+y)(x-y)} \\\\=>\frac{-4xy}{(x+y)(x-y)} \\\\=>\frac{-4xy}{x^2 - y^2}[/tex]

please help me ill give you the crown thing

Answers

Answer: The answer is D

Step-by-step explanation:

Can someone help what do I put in the blank

Answers

Answer:

600 -383 =217

hope it helps

what is x²-3x+8 if x=4

Answers

Answer:

12

Step-by-step explanation:

Substitute x = 4 into the expression

4² - 3(4) + 8 = 16 - 12 + 8 = 12

Answer:

12

Step-by-step explanation:

x²-3x+8

Plug in:

(4)²-3(4)+8

Use PEMDAS:

P - Parentheses

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

(4)²-3(4)+8

16 - 3(4) + 8

16 - 12 + 8

4 + 8

  12

Hope this helped.

Find the measure of c.
(1
27
O A. 31.6
B. 27
C. 63
D. 126

Answers

Answer:

The answer is

The measure of c is 63

The hole for a support needs to be 5 feet deep. It is currently 1 foot 8
inches deep. How much deeper must the hole be? Use the conversion
factor 12 inches = 1 foot.

Answers

Answer:

60

12 inches=1 foot so 12 ×5=60

Answer:

60

Step-by-step explanation:

lol

What decimal is equal to the following fraction?
12/20

Answers

Answer:

It is 0.6

Step-by-step explanation:

[tex] \frac{12}{20} [/tex]

divide numerator and denominator by 2:

[tex] = \frac{12 \div 2}{20 \div 2} \\ \\ = \frac{6}{10} [/tex]

since it's a tenth, it becomes a value with out decimal place:

[tex] = 0.6[/tex]

4 (3 + c ) + c = c + 4

what is c?

Answers

Answer:

[tex]4(3 + c) + c = 4 + c \\ 12 + 4c + c = 4 + c \\ 12 + 5c = 4 + c \\ 12 - 4 = c - 5c \\ \\ 8 = - 4c \\ c = \frac{ - 8}{4} \\ c = - 2 \\ thank \: you[/tex]

Answer: c = -2

Step-by-step explanation:

Given

4 (3 + c) + c = c + 4

Expand parentheses and apply the distributive property

4 · 3 + 4 · c + c = c + 4

12 + 4c + c = c + 4

Combine like terms

12 + (4c + c) = c + 4

12 + 5c = c + 4

Subtract 12 on both sides

12 + 5c - 12 = c + 4 - 12

5c = c - 8

Subtract c on both sides

5c - c = c - 8 - c

4c = -8

Divide 4 on both sides

4c / 4 = -8 / 4

[tex]\boxed{c=-2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Benjamin's age is 6 years less than twice Lucas's age. If Benjamin is 12 years old, how old is Lucas? Choose the answer below that is a viable solution to this problem.

3
5
7
9

Answers

the answer is 9
i hope this will help you !

Answer:

9

Step-by-step explanation:

Let Benjamin's age be=x.

Let Lucas's age be=y.

Then, x=2y-6

When x=12, 12+6=2y.

18/2=y, y=9

Solve using Quadratic Formula
x^2 + 3x - 3 = 0​

Answers

Answer:

a= 1 , b= 3 , c= –3

[tex]x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac} }{2a} \\ x = \frac{ - 3 \frac{ + }{} {} \sqrt{ {3}^{2} - 4(1)( - 3)} }{2(1)} \\ = \frac{ - 3 \frac{ + }{} \sqrt{9 + 12} }{2} = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = \frac{ - 3 \frac{ + }{} \sqrt{21} }{2} \\ \\ x = 0.79 \\ x = - 3.79[/tex]

I hope I helped you^_^

can someone please help

5(1+2m)=1/2(8+20m)

Answers

Answer:

no solutions

Step-by-step explanation:

5(1+2m)=1/2(8+20m)

5+10m = 4+10m

10m-10m= 4-5

No solutions

PLEASE I NEED HELP WITH THIS PLEASE

Answers

Answer:

SEE IMAGE FOR SOLUTION

Hope it helps

Have a great day

Find a.
Round to the nearest tenth:
2 cm
150
105
a = [? ]cm
Law of Sines: sin A sin B
sin C
b

Answers

Answer:

1.8 cm to the nearest tenth.

Step-by-step explanation:

The angle opposite side a = 180 - 105 - 15 = 60 degrees.

By the Sine Rule:

a / sin 60 = 2 / sin 105

a = 2 * sin60/ sin 105

= 1.79315

Evaluate the expression if m =
-4, n = 1, p = 2, 9 = -6, r = 5, and t = -2.
|16+4(3q + p)|

Answers

Answer:

720

Step-by-step explanation:

|16+4(3(-6)+(2)|

|20(-18*2)|

|20*-36|

|-720|

720

Step-by-step explanation:

[tex] |16 + 4(3q + p)| \\ p = 2 \\ q = - 6 \\ then \\ = |16 + 4(3 \times - 6 + 2)| \\ = |16 + 4( - 18 + 2)| \\ = |16 + 4( - 16)| \\ |16 + - 64| \\ = | - 48| \\ take \: out \: side \: of \: mode \: then \: it \: become \: = 48 \\ \\ thank \: you[/tex]

A scale drawing of a school bus has a scale of 1/2 inch to 5feet. If the length of the school bus is 4 1/2 inches on the scale drawing. What is the actual length of the bus? Explain or show your reasoning.

Answers

Answer: actual length = 45 ft

Explanation:

Scale drawn:

1/2 inch = 5ft

Meaning that if the drawing scale is 0.5 inch then the actual bus would be 5ft.

If the length of the drawn school bus is 4 1/2 inches. We can write:

1/2 = 5
4 1/2 = x

=> x = (5 x 4 1/2)/1/2
Or x = (5 x 4.5)/0.5
x = 22.5/0.5
x = 45

Therefore the actual length of the bus is 45 ft

Help me I'm 9 the last box pls

Answers

Answer:

500, 500, 50, 10.

Step-by-step explanation:

5000 ÷ 500 = 10,

500 ÷ 50 = 10

50 ÷ 5 = 10

Answer:

5,000/500 = 10

50 /5 = 10

500/50 = 10

Method:

Calculator ;)

Can someone show me how to factor this please?

Answers

Answer:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

Step-by-step explanation:

We want to solve the equation:

[tex]2\sin ^2 \theta + 3\sin \theta + 1 = 0[/tex]

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

[tex]\displaystyle 2u^2 + 3u + 1 = 0[/tex]

Factor:

[tex]\displaystyle (2u+1)(u+1) = 0[/tex]

By the Zero Product Property:

[tex]\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0[/tex]

Solve for each case:

[tex]\displaystyle u = -\frac{1}{2} \text{ or } u = -1[/tex]

Back-substitute:

[tex]\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1[/tex]

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

[tex]\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}[/tex]

A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step​

Answers

Answer:

5 years

Step-by-step explanation:

Let x be the unknown numer of years ago when the product of the man and his child's age was 96.

》 x years ago, the man's age = 37 - x

the child's age = 8 - x

(37 - x)(8 - x) = 96

296 - 37x - 8x + x² = 96

x² - 45x - 296 - 96 = 0

x² - 45x - 200 = 0

x² - 5x - 40x - 200 = 0

x(x - 5) -40(x - 5) = 0

(x - 5)(x - 40) = 0

x = 5 years ago or x = 40 years ago

but x = 40 > son's present age.

Thus, x = 5.

Therefore, 5 years ago the product of the ages of the man and his child was 96.

2.1.PS-8
Question Help
A package of 4 pairs of insulated gloves costs $29.16. What is the unit price of the pairs of gloves?

Answers

Answer:

7.29

Step-by-step explanation:

5. Mrs. Perkins hosts a birthday party for her son and 7 guests. She orders 2 cookies and a
cupcake for each child. The cost of the cupcake is $2.75, and the total bill is $46.00. What is the
cost of a cookie?

Answers

Answer:

A cookie is $1.50.

Step-by-step explanation:

Variable x = cost of cookies

For each child means the 7 guests plus Mrs. Perkins' son which equals 8.

Set up an equation:

(2x)8 + (2.75)8 = 46

Use distributive property:

16x + 22 = 46

Isolate variable x by subtracting both sides by 22:

16x = 24

Isolate variable x by dividing both sides by 16

x = 1.5

Check your work:

2(1.5) × 8 + (2.75)8 = 46

3 × 8 + 22 = 46

24 + 22 = 46

46 = 46

Correct!

Answer: $1.50 per cookie

Step-by-step explanation:

We know that each cupcake is worth $2.75 and the total bill of all her purchases is $46.

Therefore, lets multiply the cost of a cupcake times the amount of people eating them. (the sons and 7 guests which add up to 8)

2.75(8) = $22

Now take the total cost of 8 cupcakes and subtract it from the total.

46 - 22 =  $24

24 dollars is equal to the cost times the amount of cookies purchased. Therefore, let X equal to the cost per cookie and multiply it times the amount of cookies purchased. The amount of cookies is equal to 2 cookies times 8 children.

(2*8)X = 24

16x=24

x= $1.50

Check:

8[ (1)(2.75) + 2X ] = 46

8[ 2.75 + (2) (1.50) ] = 46

22 + 24 = 46

46 = 46

HELP ASAP
The city planning committee decides that more than $8,000 must be budgeted for new playground equipment. Each swing set (x) will
cost $450, and each slide (y) will cost $600. Which inequality models this situation?

Answers

Answer:

x+y=$8,000 i guess

Step-by-step explanation:

Translate this phrase into an algebraic expression.
The sum of 16 and twice a number
Use the variable n to represent the unknown number.

Answers

Hi,

The answer is 2n + 16

(10 points) How many proportional relationships are shown in the coordinate plane below?
Choose 1 answer:

Answers

Answer:

C. 2

Step-by-step explanation:

2y and 0,0 are the same

Answer:

The answer is B) There is one proportional relationship

Step-by-step explanation:

The green line (the one at the top) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

The blue line (the one in the middle) is a straight line through the origin. This is a proportional relationship.

Reason: It goes through 0,0

----------------------------------------------------------------------------------------------------------------

The purple line (the one at the bottom) does not go through the origin. This is not a proportional relationship.

Problem: It does not go through 0,0

----------------------------------------------------------------------------------------------------------------

Conclusion: Since the green and purple lines are not proportional but the blue line is, this means only 1 line is proportional.

Note:

I know my answer is very late but I wanted to help anyone who needs it for future reference.

100 POINTS
100 PUNTOS
------------------------------------------------------------------
If I buy an apple with 100 coins, how many coins do I need to have 1000 apples?
------------------------------------------------------------------
Si compro una manzana con 100 monedas, ¿cuántas monedas necesito para tener 1000 manzanas?

Answers

Answer:

100,000 coins

Step-by-step explanation:

We can use a ratio to solve

1 apple        1000 apples

------------   = ---------------

100 coins        x coins

Using cross products

1x = 100 * 1000

1x = 100,000

We need 100,000 coins

Answer:

100,000 coins

Step-by-step explanation:

1 apple cost 100 coins

We want to find the amount of coins needed to get 1000 apples.

To do so we simply multiply the coins it takes to get 1 apple (100) by 1000

1000 * 100 = 100,000

Solve the inequality.
|3x + 7| <4

Answers

Answer:

[tex]-\frac{11}{3} \leq x\leq -1[/tex]

Hope this helps!! <3

This is the answer have a good day

I’m confused about these questions. Compositions and inverses ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️

Answers

9514 1404 393

Answer:

  1. (f+g)(x) = 2x^2 +4x +2

  2. (f -g)(x) = -2x^2 +4x -4

  5. (f+g)(x) = x^2 +2x -1

  6. (g -f)(x) = x^2 -2x -1

Step-by-step explanation:

None of these are compositions. They are only sums or differences.

  (f±g)(x) = f(x) ± g(x)

__

1. (f+g)(x) = f(x) +g(x) = (4x -1) +(2x^2 +3)

  (f+g)(x) = 2x^2 +4x +2

__

2. (f -g)(x) = f(x) -g(x) = (4x -1) -(2x^2 +3)

  (f -g)(x) = -2x^2 +4x -4

__

5. (f +g)(x) = f(x) +g(x) = (2x) +(x^2 -1)

  (f+g)(x) = x^2 +2x -1

__

6. (g -f)(x) = g(x) -f(x) = (x^2 -1) -(2x)

  (g -f)(x) = x^2 -2x -1

In right angle triangle OAB,

[tex] {ob}^{2} = {oa}^{2} + {ab}^{2} = |?| + |?| [/tex]

Answers

Answer:

ab^2 + oa^2

Step-by-step explanation:

It is pathagorus theorem basically

hypotenuse²= perpendicular²+base²

Determine the intercepts of the line.
Do not round your answers.
y=-7x+3

Answers

Step-by-step explanation:

For x-intercept:

put y=0

0=-7x+3

7x=3

x=3/7

points(3/7,0)

For y-intercept:

x=0

y=-7(0)+3

y=3

points(0,3)

Note:if you need to know any question please let me know.

Five explorers plan to share them equally. How many jewels does each get.

Answers

Answer: 20

Explanation: 34+48+18=100. 100/5=20
Start off by adding up the jewels.
48+34+18= 100
After, you divide you answer by 5.
100/5=20
Therefore, they get 20 jewels each.
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