Fully factorise
X^3 - 100

Answers

Answer 1

Answer:

(x-10)(x²+10x+100)

Step-by-step explanation:

Given the expression

X^3 - 100

This ca also be expressed as;

X^3 - 100 = X³ - 10³

a³-b³ = (a-b)(a²+b²+ab)

Substitute a = x and b = 10

X³ - 10³ = (x-10)(x²+10²+10x)

X³ - 10³ = (x-10)(x²+10x+100)

Hence the factored form is (x-10)(x²+10x+100)


Related Questions

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)?

Answers

Answer:

14.5

Step-by-step explanation:

10 + (2 x 3)2 ÷ 4 × (3 x 1/2)

10 + (6)2 / 4 * (1.5)

10 + 12 / 4 * 1.5

10 + 3 * 1.5

10 + 4.5

14.5

Answer:

20.5

Step-by-step explanation:

10 + 12 ÷ 4 x 7/2

10 + 3 x 7/2

10 + 21/2

10 + 10.5

20.5

6x times (-2y)

Urgent please send solution

Answers

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

-3x>18
(not in high school in middle school)

Answers

Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

Answer:

x < -6

Step-by-step explanation:

solve for x 4x - 3 = 6x + 2 ?

Answers

Answer:

x = -5/2

Step-by-step explanation:

Tiffany earns an annual income of $ 55 , 000 . After she pays taxes, her take-home pay is $ 41 , 800 . Tiffany gives 5 % of her take-home pay to a stock broker to invest into the stock market. At the end of the year, her investment earned 8 % . How much money did Tiffany's investment earn in the stock market?

Answers

Answer:

1678.95

Step-by-step explanation:

Which fraction will result in a repeating decimal?
3/4
1/3
1/4
3/8

Answers

Answer:

1/3

Step-by-step explanation:

is the answer because is a decimal

Assume that lines that appear to be tangent are tangent. O is the center of the circle. What is the value of x?

Answers

9514 1404 393

Answer:

  x = 20, or 125

Step-by-step explanation:

We cannot tell the angle x is intended to refer to. So, here are two answers. Choose the one you think applies.

__

The triangle that includes both marked angles is a right triangle. (The tangent meets the circle at right angles to the radius.) So, the angle x° at the external point is the complement of the marked central angle.

  x° = 90° -70°

  x = 20

__

If x° is referring to the exterior angle associated with the isosceles triangle within the circle, then its measure is the supplement of the interior base angle of that triangle. It is ...

  x° = 180° -(180° -70°)/2 = 90° +70°/2

  x = 125

An airplane ticket to new york is priced at $1232.10 inclusive of 11% sales tax what amount would the airline ticket cost exclusive of sales tax

Answers

Answer:

net is before tax

gross is after tax

Martin drew a triangle. Its sides were 3 cm, 4 cm, and 5 cm.
It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew.
Martins triangle is —- and ——.
Answer= Martins triangle is a right triangle and a scalene triangle.

Answers

That is correct!!!!!!

True or false: f(x) is a function.
4
8
1
12
f(x)

Answers

true, they all have different values !

Jaclyn paid $620 to stay at a hotel. She paid $124 per
night for each of two rooms. How many nights, n, did
Jaclyn stay at the hotel?

Answers

620 = 248n
620/248 = 248n/248
n = 2.5 nights

Put in ascending order 0.32, -1.9, square root of 5, 2 pi, 2/3

Answers

Answer:

-1.9, 0.32, 2/3, sqrt5, 2pi

Step-by-step explanation:

A pipe leaks water at a rate of 48 fl oz
every 5 min.
At this rate, how many gallons of water leak from the pipe in an hour? (1
gal = 128 fl oz)

Answers

12*5=60
12*48=576
576/128=4.5
4.5 gallons

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

What is conversion?

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

A pipe leaks water at a rate of 48 fl oz every 5 min. Then the rate is given as,

Rate = 48 / 5 fl oz per minute

We know that 1 gal = 128 fl oz, then we have

Rate = (48 / 128) / (5 / 60)

Rate = (48 x 60) / (128 x 5)

Rate = 2880 / 640

Rate = 4.5 gallons per hour

The number of gallons of water leaking from the pipe in an hour will be 4.5 gallons per hour.

More about the conversion link is given below.

https://brainly.com/question/9414705

#SPJ2

Suppose that 14 inches of the wire cost 42 cent. At the same rate, how much ( in cent) will 7 inches, of wire cost

Answers

Answer:

21 cents

Step-by-step explanation:

All you have to do is divide 42/2

Becuase 14 is 7 doubled

Riley has 3 hours to play outside to play before diner. She spends 3/5 of that time playing outside how long does riley play outside

Answers

riley is gone to work 3/5 so step by step quicker

Answer:1.8 hours

Step-by-step explanation:

just devide and stuff

i suck at fractions..............................

Answers

That would be 6 and 3/8

In circle o, which term correctly identifies line XY?



Аtangent
B chord
с secant
D diameter

Answers

B.Chord.Hope this helped.

Answer:

secant

Step-by-step explanation:

PLZ HELP I NEED THIS DONE IN A FEW HOURS

Answers

1. 5/8 that’s all I did

it's a ven dyagram question pls help

Answers

Answer:

a) A U B = {21,23,24,25,27,29,30,31 }

b) A n C = {24,30}

Step-by-step explanation:

A {21,24,27,30}

B {21,23,25,27,29,31}

C {20,22,24,26,28,30,32}

a) A U B = {21,23,24,25,27,29,30,31 }

b) A n C = {24,30}

Use the function f(x)=3 sin⁡(xπ/2)+2 to answer parts A - F. Show steps for C, D and E.

Answers

And the steps???????

Joel has a goal to practice his clarinet for 4 hours per week. The list 5 1below shows the number of hours Joel has practiced so far this week. Monday 1 hours 2 1 Wednesday 1 hours 3 1 Thursday 1 hour How many more hours does Joel need to practice this week to meet his goal?

Answers

Answer:

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours

He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours

                             Wednesday - [tex]1\frac{1}{4}[/tex] hours

                             Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice =  [tex]4\frac{1}{2}[/tex] hours

⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]

⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]

⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]

⇒x - 1 = [tex]-\frac{1}{4}[/tex]

⇒x = [tex]-\frac{1}{4} + 1 = \frac{-1 + 4}{4} = \frac{3}{4}[/tex]

⇒x = [tex]\frac{3}{4}[/tex] hour

∴ we get

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

What is the missing length?

Answers

Answer:

as it is rectangular in shape. so the area of the rectangle =length *breadth =5*x=40

x=40/5=8metres

A sphere has a radius of 4 feet. What is the volume of the sphere? Express your answer in terms of pi.
The volume of the sphere is ___ pi.

Question 2
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds?
Use 3.14 as an approximate for pi and give a numerical answer.
The balloon can hold ____ cubic feet of air.

Answers

4 feet 3.14 your welcome

Question 4 (1 point)

The organizers of a concert are preparing for the arrival of 50,000 people in a field. Each person is alloted 5 square ft of space, so the

organizers rope off a circular area big enough to account for 5 square feet per person. Find the radius of this region, rounding to the nearest

foot.

Answers

Answer:

Radius of park r = 282.04 ft (Approx)

Step-by-step explanation:

Given:

Number of people = 50,000

Each person needs area = 5 ft²

Park's is in shape of circle

Find:

Radius of park r

Computation:

Total area required = 50,000 x 5

Total area required = 250,000 ft²

Area of circular park = Total area required

πr² = 250,000

(22/7)r² = 250,000

r² = 79545.4545

r = 282.04 ft

Radius of park r = 282.04 ft (Approx)

1. Emily bicycle wheel had a diameter of 18 inches.
If the wheel makes 10 revolutions, approximately how far will the
bicycle have to travel? Round your answer correct to the nearest
whole number.

Answers

Heshvssheuehrbehwhdbeuwbwhehehwhehehrh

Which inequality is true when x = 0.8?

Answers

Answer: C

Step-by-step explanation:

Liam is setting up folding chairs for a meeting. If he arranges the chairs in 8 rows of the same length, he
has 7 chairs left over. If he arranges the chairs in 6 rows of that same length, he has 23 left over. How many
chairs does Liam have?

Answers

Answer:

liam has 44 chairs with him

Answer:

liam has 71 chairs

hope it helps you

giving brainliest and thanks help plz asap

Answers

The answer is C. you're welcome.

C is the answer have good day

Plz help I have to turn it it by midnight!!!!!

Answers

Step-by-step explanation:

The perimeter of a polygon is the sum of all of the polygon's sides. Here, a rectangle has 4 sides:

Perimeter of Rectangle

= 2 + (4x - 3) + 2 + (4x - 3)

= (8x - 2)cm.

Answer: 8x-2 cm

Step-by-step explanation:

To find the perimeter of the rectangle, add the length of all sides together.

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

Given

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

Expand parenthesis

2+4x-3+2+4x-3

Put like terms together

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

Combine like terms

8x-2

Hope this helps!! :)

Please let me know if you have any questions

A polygon has perimeter 12 units. It is dilated with a scale factor of 3/4. What is the
perimeter of its image?
A. 9 units
B. 12 units
C. 16 units

Answers

9 because 12 x 0.75
—————

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

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