What is the answer to 8x^3+125 by factoring the perfect cube?

Answers

Answer 1

Answer:

[tex]\large\boxed{8x^3+125=(2x+5)(4x^2-10x+25)}[/tex]

Step-by-step explanation:

[tex]8x^3+125=2^3x^3+5^3=(2x)^3+5^3\\\\\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+5)((2x)^2-(2x)(5)+5^2)\\\\=(2x+5)(4x^2-10x+25)[/tex]


Related Questions

Find the distance d. (2,4) and (7,2)

Answers

Answer:

The answer is d = [tex]\sqrt{29}[/tex]

Step-by-step explanation:

To find the distance, use the distance formula.

d = [tex]\sqrt{(x1 - x1)^{2} + (y1 - y2)^{2}  }[/tex]

d = [tex]\sqrt{(7 - 2)^{2} + (2 - 4)^{2}  }[/tex]

d = [tex]\sqrt{(5)^{2} + (-2)^{2}  }[/tex]

d = [tex]\sqrt{25 + 4 }[/tex]

d = [tex]\sqrt{29}[/tex]

Your food bill was $80 at a restaurant.
You left a tip of $16.

What percentage of the food bill did you leave for the tip?

Answers

Answer:

20 percent tip

Step-by-step explanation:

Answer: 20% tip (i got the answer for that one right :)! )

In a class of 32 students, 25% of the students wear glasses. How many students wear glasses?

Answers

32×.25=8

so 8 students wear glasses

8 students wear glasses

25 points for answer!! Consider the circle graph below of the type of flowers planted in a garden. If 57 carnations are in the garden, how many roses are in the garden?

Answers

The ratio of carnations to roses in the garden is 19:31.

Since there are 57 carnations in the garden, there are 57 * 31/19 = 93 roses in the garden.

Answer:

The answer is 93

Step-by-step explanation:

Carmen wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 39 feet. Suppose each can of paint will cover 169 square feet. How many cans will she need to paint the ceiling?

Answers

Answer:

The answer is 9

Step-by-step explanation:

39X39 is 1521

1521/169=9

so carmen needs 9 cans of paint

Final answer:

To paint the square ceiling of 1521 square feet, Carmen will need to round up from the approximately 9 cans of paint that would be required to cover it, so she will need to purchase 10 cans of paint.

Explanation:

Carmen would be dealing with a mathematical concept related to area and division. Since the ceiling is a square, we can find the total area by squaring the length of one side. This means multiplying 39 (feet) by itself: 39*39 = 1521 square feet.

Each tin of paint can cover 169 square feet, so if we divide the total square feet of the ceiling by what one tin can cover, we get the amount of tins needed. This means 1521 divided by 169: approximately 9 cans of paint. Since you cannot buy a fraction of a can, Carmen will need to purchase 10 cans of paint to ensure she can cover the entire area of the ceiling.

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Two values of x that are roots of xsquared+2x-6=0

Answers

The two values of x are

1.65 , -3.65

Answer:

Two values of x that are :

[tex]x=-\sqrt{7}-1[/tex]

[tex]x=\sqrt{7}-1[/tex]

Step-by-step explanation:

Given= [tex]x^2+2x-6=0[/tex]

To find = Two values of x

Solution :

[tex]x^2+2x-6=0[/tex]

Adding and subtracting 1 in the equation :

[tex]x^2+2x+1-1-6=0[/tex]

[tex](x^2+2\times x\times 1+1^2)-1-6=0[/tex]

[tex](x+1)^2-7=0[/tex]

[tex](x+1)^2=7[/tex]

[tex](x+1)=\pm \sqrt{7}[/tex]

Two values of x that are :

[tex]x=-\sqrt{7}-1[/tex]

[tex]x=\sqrt{7}-1[/tex]

Simplify. Rewrite the expression in the form 10^n


10^5 x 10 = ?

Answers

10 to the power of 6

10^5 × 10 = 10^6

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

list the fractions from least to greatest and a picture to show your answers

a 1/5,1/7,1/3
b 2/5,2/7,2/3
c 5/6,3/6, 1/6
d 5/12,8/12,4/12




Answers

Answer:

Below, the fractions organized from least to greatest:

a. 1/7, 1/5, 1/3

b. 2/7, 2/5, 2/3

c. 1/6, 3/6, 5/6

d. 4/12, 5/12, 8/12

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ? u(x) 0 and v(x) 2 x 0 and x cannot be any value for which u(x) 2 x 2 and x cannot be any value for which v(x) 0 u(x) 2 and v(x) 0

Answers

Answer:

Third option

x ≠2 and x cannot be any value for which v(x) = 0

Step-by-step explanation:

In this problem we are asked to find the domain of the function

[tex](UoV)(x)[/tex]

We know that [tex](UoV)(x) = U(V(x))[/tex].

We know that:

Domain of U(x) is all real numbers except x = 0

Domain of V(x) is all real numbers except x = 2.

Then the domain of the composite function U(V (x)) is:

all real numbers except x = 2. (since x = 2 does not belong to the domain of V(x) and all values of x for which V(x) = 0 (since x = 0 does not belong to the domain of U(x))

Finally the domain of [tex](UoV)(x)[/tex]) is:

[tex]x \neq 2[/tex] and [tex]V(x) \neq 0[/tex]

Answer:

The answer is C on edge.

The zeros of a quadratic function are -8 and 5. Write the quadratic function in Standard Form.

Answers

Answer:

y = x² + 3x - 40

Step-by-step explanation:

Given the zeros are x = - 8 and x = 5, then the factors are

(x + 8) and (x - 5) and

y = (x + 8)(x - 5) ← expand factors

y = x² - 5x + 8x - 40, hence

y = x² + 3x - 40 ← in standard form

please find the unknown with all steps ​

Answers

Answer:

see explanation

Step-by-step explanation:

Since AC = BC then ΔABC is isosceles with base angles

∠BAC =∠ABC, thus

3x + x = 70

4x = 70 ( divide both sides by 4 )

x = 17.5

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

∠ADC is an external angle of ΔABD and the external angle is equal to the 2 opposite interior angles, hence

y = 70 + x = 70 + 17.5 = 87.5

what is equivalent to the expression below?


(-6) to the -5 power


a. 6 to the 5 power

b. (1/6) to the 5 power

c. (-1/6) to the 5 power

d. 30

Answers

I think the answer is d I hope that helps

114.4 is 65% of what amount

Answers

65% × 114.4 =

(65 ÷ 100) × 114.4 =

(65 × 114.4) ÷ 100 =

7,436 ÷ 100 =

74.36

and how you can check yourself  kinda do the opposite of what you did to get the answer

74.36 ÷ 114.4 =

0.65 =

0.65 × 100/100 =

0.65 × 100% =

(0.65 × 100)% =

65%

to the right of the garden draw a different shape that has the same perimeter as part A of elton's garden what is the area of your shape?

Answers

Answer:

wats part A?

Step-by-step explanation:

Give me the data:)

Please help me and please don't answer if you're not 100% sure!

The answer choices are

A. 1120 people

B. 280 people

C. 100 people

D. 112 people ​

Answers

The answer is A. Because you multiply 56 x 100/5 which gives you 1120

Answer:a

Step-by-step explanation:

it just looks like it

An equation is shown below. 12 - 9 + c = 12 What value of c makes the equation true?

Answers

The correct answer is C = 9.

Step by step:

Subtract 12 - 9 = 3

3 + 9 = 12.

It’s that simple. Hold this helps!

The value of c is 9 makes the equation true.

It is given that the equation 12 - 9 + c =12.

It is required to find the value of c that makes the equation true.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

We have a linear equation in one variable:

12 - 9 + c = 12

-9 + c =0   (subtract 12 on both sides)

c = 9   ( add 9 on both sides)

Thus, the value of c is 9 makes the equation true.

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What is the end point of a ray?

Answers

Answer:

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction you can't measure the length of a ray ..hope this helps

Step-by-step explanation:

Final answer:

The endpoint of a ray is the starting point from which the ray extends indefinitely in one direction. It's different from a line, which has no endpoint as it extends indefinitely in both directions.

Explanation:

In mathematics, specifically in geometry, a ray is a part of a line that starts at a particular point, known as the initial point, origin, or endpoint, and extends indefinitely in one direction. This is different from a line, which extends in both directions. When you draw a ray, you put an arrow on one end to show that it continues without end in that direction. The

end point of a ray is essentially the starting point from which the ray extends. For example, if you have a ray AB, point A is the endpoint and the ray extends towards point B but beyond it indefinitely. Thus, a ray has only one endpoint, not two.

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Which expression shows the total price including tax?

Answers

Answer:

1.04p

Step-by-step explanation:

You will pay the whole price of the item which is p or 1p. Then you will add 4% tax or 0.04p. So the total will be 1p + 0.04p = 1.04p.

Please help me out on this question I been stuck on it

Answers

Answer:

B, C

Step-by-step explanation:

[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{3^2 - 4(1)(-5)}}{2(1)} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{9 + 20}}{2} [/tex]

[tex] x = \dfrac{-3 \pm \sqrt{29}}{2} [/tex]

Answer: B, C

perform the indicated operation (3x^3-2x^2+4x-3)(x+2)

Answers

Answer:

3x^{4} + 4x³ + 5x - 6

Step-by-step explanation:

Given in the question is an expression

(3x³ - 2x² + 4x - 3)(x + 2)

Apply distributive law

(3x³ - 2x² + 4x - 3)(x) + (2)(3x³ - 2x² + 4x - 3)

3[tex]x^{4}[/tex] - 2x³ + 4x² -3x + 6x³ - 4x² + 8x - 6

Rearrange the like terms

3[tex]x^{4}[/tex] + x³(-2+6) +x²(4-4) +x(-3+8) - 6

3[tex]x^{4}[/tex] + 4x³ + 5x - 6

After performing indicated operation the result is

[tex]3x^{4}+4x^{3}+5x-6[/tex]

An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet. The height of the sports stadium is 180 feet.

What is the height of the scale model in inches?

A] 3in
B} 105 in
C[ 12in
D{ 60in

PLEASE HELP‼️ AND SHOW WORK‼️

Answers

A. 12 in

We know that the sports stadium is 180 ft tall and that in the scale model there is 2 in for every 30 ft. If we divide 180 by 30 we get 6. There is 2 in for every 30 ft, so the answer would be 6 x 2 or 12 in.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

Option C is the correct answer.

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

In 5 minutes a machine can cut 10 potato

In 1 minute a machine can cut 2 potato.

We have,

30 feet = 2 inches

Divide both sides by 30.

1 feet = 2/30 inches

Now,

1 feet = 2/30 inches

Multiply 180 on both sides.

180 feet = 180 x 2/30 inches

180 feet = 6 x 2 inches

180 feet = 12 inches

Thus,

If 2 inches = 30 feet and the height of the sports stadium is 180 feet.

The height of the sports stadium in scale model in inches is 12 inches.

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WILL GIVE BRAINLIEST
What is the period of a wave if the wavelength is 100m and the speed of 200m/s
A. 100s
B. 200,000s
C. 0.5s
D. 2s

Answers

Answer:

C. O.5s

Step-by-step explanation:

If the wave length is 100m and it goes at a speed of 200m/s then it will only take 0.5 seconds because 100 is half of the speed of 200

Answer:

C

Step-by-step explanation:

The formula we use to solve this would be:  [tex]T=\frac{\lambda}{v}[/tex]

Where

T is the period in seconds

[tex]\lambda[/tex] is the wavelength in m, and

v is the speed of the wave in m/s

We have [tex]\lambda[/tex] equal to 100, and v = 200 m/s. Plugging these into the equation, we get the period:

[tex]T=\frac{\lambda}{v}\\T=\frac{100}{200}\\T=0.5[/tex]

C is the right answer.

Timothy drove his race car 10% farther using the gasoline from Smith's Station compared to gasoline from Jack's Station. After Timothy filled his gas tank at Jack's Station, he traveled 480 miles. How far did he travel on a tank of gas from Smith's Station?

Answers

Answer:

528

Step-by-step explanation:

x = 480

1.1 x = 480 * 1.1

480 + 48 = 528

Final answer:

Timothy traveled 528 miles using the gasoline from Smith's Station, which is 10% farther than the 480 miles he traveled with gasoline from Jack's Station.

Explanation:

To calculate how far Timothy traveled using the gasoline from Smith's Station, we need to determine what 10% more than the 480 miles he traveled using gasoline from Jack's Station is. First, let's find 10% of 480 miles:

10% of 480 miles = 0.10 × 480 miles = 48 miles.

Now, let's add this additional distance to the original 480 miles to find the total distance traveled with gas from Smith's Station:

480 miles + 48 miles = 528 miles.

Therefore, Timothy traveled 528 miles on a tank of gas from Smith's Station.

(i really need help with this , and you can get branliest

If s = unit and A = 12s2, what is the value of A, in square units? square unit(s). (Input whole number only.)



The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units:

V = 5s3

If s = 1.4 units, what is the value of V?


13.72 cubic units


19.21 cubic units


21 cubic units


25 cubic units

Answers

Answer:

13.72 cubic units

Step-by-step explanation:

The equation below shows the total volume (V), in cubic units, of 5 identical boxes with each side equal to s units:  V = 5s3  

If s = 1.4 units, what is the value of V?

Substitute s = 1.4 into V = 5s³ = 5(1.4)³ = 13.72 cubic units.

What is the distance between the points (-7, 3) and (4, -5) in the coordinate plane?
A. Square root of 125
B. Square root of 57
C. Square root of 13
D. Square root of 185

Answers

the correct answer is d

I need help please and thank you.

Answers

Answer:

0

Step-by-step explanation:

The formula gives you a relation between S and n. For every n, you can perform the calculation and obtain an S.

So, for n=0 we get 0/2 (0+1) which equals 0. So (0,0) is an (n,S) pair.

Gina is the chairperson of a group. Last week, she set up 22 folding chairs for the group meeting. This week, some of the members could not attend the meeting, so she set up only 15 chairs. How many chairs did Gina set up in the past two weeks?

Answers

Answer:

37 Chairs

Step-by-step explanation:

Last week she set up 22 chairs.

This week, that amount was 15

Add those together, and you have 37.

Final answer:

Gina set up a total of 37 chairs in the past two weeks.

Explanation:

To find the total number of chairs Gina set up in the past two weeks, we need to add the number of chairs she set up last week to the number of chairs she set up this week.

Last week, Gina set up 22 chairs for the group meeting.This week, she set up 15 chairs for the meeting.To find the total number of chairs she set up in the past two weeks, we add the number of chairs from last week and this week: 22 + 15 = 37.

Please help lol ............

Answers

Answer:

1 X 16 and 8 X2

Step-by-step explanation:

1 X 16 = 16

2 X 8 = 16

3 X nothing = 16

4 X 4 = 16

5 X nothing = 16

6 X nothing = 16

7 X nothing = 16

8 X 2 = 16

etc.

[tex]\bold{Hey\ there!} \\ \\ \bold{Choose\ all\ of\ the\ correct\ factors\ of\ 16}[/tex]

[tex]\bold{It \underline{CAN'T} \ be\downarrow} \\ \bullet\ \bold{3\times5\ because\ it\ equals\ to\ 15} \\\bullet\ \bold{4\times3\ because\ it \ equals\ to\ 12} \\ \\ \\ \\ \bold{It\ \underline{CAN} \ be\downarrow} \\ \bullet \ \bold{1\times16\ because\ it\ equals\ to \ 16} \\ \bullet \ \bold{8\times2\ because\ it\ equals\ to\ 16} \\ \\ \\ \boxed{\boxed{\bold{Answer(s):1\times16\ \& \ 8\times2}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your \ day!} \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Evaluate (–1)8 + (–1)7 + –16 + –14 – (–1)2. A. 5 B. –3 C. –4 D. –23

Answers

Answer:

= -43

Step-by-step explanation:

Evaluating the expression;

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We can use Bodmas

We remove the brackets first

(–1)8 + (–1)7 + –16 + –14 – (–1)2

We get

-8 + - 7 + -16 + -14 - -2

but; - × + = - and - × - = +

Thus;

-8 - 7 - 16 - 14 + 2

= -8 -7 - 16 - 12

= -43

if f(x) = (1/7), what is F(3)

A.343
B.1/49
C.49
D.1/343

Answers

Answer:

Step-by-step explanation:

None of them

Perhaps the original question was f(x) = (1/7)^x or f(x)=(1/7)^-x

The first one would give A as an answer

The second one would give D as an answer.

A similar answer could be worked out for B and C

In any event correct your question, please

Answer:

49

Step-by-step explanation:

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