Mathematics High School

Factor completely:

x³ - 9x

Answers

Answer 1

Answer:

x(x+3)(x-3)

Step-by-step explanation:

Factor out common term x

=x(x^2-9)

Factor x^2-9;

(x+3)(x-3)

=x(x+3)(x-3)

Answer 2

Answer:

x(x + 3)(x - 3)

Step-by-step explanation:

What we're given is a difference of squares multiplied by x.  If we start by factoring x out, we can simply expand the binomial:

x³ - 9x

= x(x² - 9)

= x(x + 3)(x - 3)

Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b).  In this case, a is x, and b is 3.

Related Questions

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

Which is the value of x in the equation?
4(x−3)=40

A. 13
B. 14
C. 15
D. 16

Answers

Answer:

x=13

Step-by-step explanation:

4(x-3)=40

x-3=40/4

x-3=10

x=10+3

x=13

HOPE THIS HELPS YOU

4(x-3)=40
distribute 4, so 4x - 12 = 40
+ 12 +12
4x/4= 52/4

x=13

Which expression is equal to
сол
(A
5x8
8 x 5
C8= 5
5=8

Answers

Is probably C and D good luck!
And have a nice day

Friction is not related to the efficiency of a machine.


True or False

Answers

Answer: False, Step-by-step explanation: Genuine mechanical benefit and ideal mechanical benefit are not equivalent. Valid. Work yield can never be more prominent than work input.


Let's say that a cell phone provider offers a new phone for $600 with a
$70 monthly plan. Find the equation that represents the average cost of
the phone, C(x), to use for x amount of months.
Can someone please answer this?

Answers

Answer:

Total=600+70(x)

The average cost of the phone is C(x) = (600 + 70x)/x.

How to calculate the average?

In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.

Given that,

The fixed price of the cellphone is $600.

And, the monthly plan is $70.

Now, the cost of the phone increases with the number of months and the average cost is the total cost divided by the number of months.

As per the question the average cost can be written as,

C(x) = (600 + 70x)/x

Where x is the number of months.

Hence, the average cost of the given phone can be written in terms of the function of month as C(x) = (600 + 70x)/x.

To know more about average click on,

https://brainly.com/question/12322912

#SPJ2

$750 at 6% for 3 years

Answers

Answer:

This is your answer ☺️☺️

Solve for x: |x| − 8 = −5

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

3 or -3

Step-by-step explanation:

|x| - 8 = -5

|x| = 3

The absolute value of x = 3, -3

Un contenedor de 120 lt de capacidad contiene 90 lt de un líquido ¿que porcebtaje de la capacidad del tanque está desocupado

Answers

Answer:

25%

Step-by-step explanation:

Paso 1

Calcula la cantidad del contenedor que no estaba ocupado.

Esto se calcula como

Tamaño del recipiente: cantidad de líquido en el recipiente

= 120 lt - 90lt

= 30 litros

Paso 2

El porcentaje de la capacidad del tanque que está desocupado se calcula como:

= Capacidad del tanque que estaba desocupado / Capacidad del tanque × 100

= 30lt / 120lt × 100

= 25%

solve the equation 2[x]>14

Answers

Answer:

2x>14  

2x÷2>14÷2

X>14÷2

X>7  or X€(7,∞)

Step-by-step explanation:

step 1- divide both sides of the by 2

step 2- any expression divided by itself is 1

Help pls this is mad hard

Answers

Answer:

17

Step-by-step explanation:

a²+b²=c²

(15x15)+(8x8) = c²

225+64 = c²

√c = 17

Please help me ASAP.

Answers

Answer:

D

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!​

Answers

Answer:

[tex] \sqrt{193} [/tex]

Step-by-step explanation:

Given,

Height of the triangle = 7

Base of the triangle = 12

Hypotenuse of the triangle = x

Therefore, According to Pythagoras Theorem,

[tex] {(hypotenuse)}^{2} = {(base)}^{2} + {(height)}^{2} [/tex]

[tex] {x}^{2} = {12}^{2} + {7}^{2} [/tex]

[tex] = > {x}^{2} = 144 + 49[/tex]

[tex] = > {x}^{2} = 193[/tex]

[tex] = > x = \sqrt{193} (ans)[/tex]

Anyone who helps me answer I’ll brainliest them :D

Answers

Answer:

5x -11

Step-by-step explanation:

it says it there

Answer:

a=5 c=3

Step-by-step explanation:

c) Work out

√6 x √6 x √6​

Answers

Answer:

√6 × √6 × √6 = 6√6

Step-by-step explanation:

[tex] \rm \sqrt{6} \times \sqrt{6} \times \sqrt{6} [/tex]

[tex] \rm = \sqrt{36} \times \sqrt{6} [/tex]

[tex] \blue{\boxed{\rm = 6 \sqrt{6} }}[/tex]

What is the range of a function and how do you solve for it?

Answers

More generally, if we want to find the full range of y=x2+1, we can solve for x (taking the inverse of the function) to get x=√y−1. Then, the range of f(x) is simply the domain of √y−1, because these are all the values where there is some x-value with f(x)=y.

(Hope this helps!!!) Can I pls have a brainliest???

A numerical expression is evaluated as shown.



32 ÷ {57 – 49} × 4 + 27



Step 1: 32 ÷ 8 × 4 + 27

Step 2: 32 ÷ 32 + 27

Step 3: 1 + 27

Step 4: 28



In which step does a mistake first appear?



Answers

Answer:

step 2

Step-by-step explanation:

BODMAS they multiplied first instead of dividing

2. Any number that can result from
multiplying our given number by any other
number is a
B. multiple
D. product
A. factor
C. LCM

Answers

Multiple im pretty sure- Well, a multiple is any number obtained by multiplying other numbers together. Multiples are most commonly discussed in the context of integers.

If x=5 and y=−2, evaluate the following expression:20−5y+2x​

Answers

Step-by-step explanation:

20−5y+2x

20-5(-2)+2(5)

20+10+10=40

Answer:

20 − ( 5 ) ( −2 ) + ( 2 ) ( 5 )

= 20 − ( −10 ) + ( 2 ) ( 5 )

= 30 + ( 2 ) ( 5 )

= 30 + 10

= 40

Hope it helps

Please mark me as the brainliest

Thank you


HELPPPPP please :( thanks

Answers

You’re answer is 62 degrees
Explanation is in the photo

A bicycle ramp used for competitions is a

triangular prism. The volume of the ramp

is 313.2 cubic feet. Write and solve an

equation to find the width of the ramp.

Possible student work:

V=Bh

13.4ft

Answers

Answer:

8.7 feets

Step-by-step explanation:

As obtained frommthe diagram attached :

Base, b of triangle = 6 feets

Height of triangle, h = 12 feets

Volume of a Triangular Prism is obtained using the relation :

Base Area * Width

Base area of prism :

0.5 * base * height

0.5 * 6 * 12 = 36ft²

Width, w of the ramp =x

Volume, V = 313.2 ft³

V = base area * width

313.2 = 36 * x

313.2 = 36x

x = 313.2 / 36

x = 8.7 feets

the mod
784 sq. in
28 in
Approximately how much cardboard did he use in all to make the model?
828 square inches
1,092 square inches
О
1,400 square inches
o
2,016 square inches
о

Answers

Answer:

Step-by-step explanation:

base = 784 sq in²  28 in tall pyramid

each side of the square base = √784   also equals 28

using the Pythagorean theorem the length of each side of the pyramid from the base to the point is

(side/2)² + height² =( length of the pyramid face)²

(28/2)² + 28²  = 196 + 784  = 980 =  (face length)²

face length = √980    =  31.3

area of the pyramid = 4 sides × area of each face + the area of the base

    =   4×[(1/2)(base)(face length)] + side²

    =   4(1/2)(28)(31.3) + 784

    =   2537 sq in²     Not in the solution set

What two things make a graph proportional?​

Answers

The y intercept and the gradient
The y can interpret the and gradient

What is 0.68 multiplied by 675?!!!?

Answers

Answer:

459

Step-by-step explanation:

Hope this helped!

PLEASE HELP! 20 POINTS
The speed of the current in a river is 6mph. A ferry operator who works that part of the river is looking to buy a new boat. Every day his route takes him 22.5 miles each way against the current and back to his dock and he needs to make this trip in a total of 9 hours. He had a boat in mind but he can only test it on a lake where there is no current. How fast must the boat go on the lake in order to serve his needs? PLEASE SHOW ALL WORK

Answers

Answer:

1,215 i think please be right

please help me with these questions!!!!!!

Answers

Step-by-step explanation:

jdjdjcycyehvwjduuxjsjsjdudu

5 1/3 divided by 2/3
Draw a diagram

Answers

[tex]5\frac{1}{3} =\frac{16}{3}[/tex]

[tex]\frac{16}{3} -\frac{2}{3} \\=\frac{14}{3}[/tex]

Hope this helped!!!!!!!

Six more than the quotient of a number be in 30 is greater than three

Answers

Answer: 14



Step-by-step explanation: To get this answer you would first of all 6 more means we're adding.

Quotient means division. What we're dividing is an unknown quantity -- x -- and 3.

The final total says 14. That gives us the following:

6 + x/3 = 14

Solve for X. Plz I can't figure it outtt!

Answers

9514 1404 393

Answer:

  x = 40

Step-by-step explanation:

The angle bisector divides corresponding sides proportionally.

  x/16 = 25/10

  x = 16(25/10) . . . . . multiply by 16

  x = 40

"Please help!" Find the range of the data in the box plot below.

Answers

Answer:

12

Step-by-step explanation:

the range is the difference between the highest and lowest data value

the lowest data value is zero and the highest is twelve

can someone help me with these problems I don't get it very well​

Answers

this is my answer but you need to check with your teacher

Answer:

25 & 26Complementary angles sum to 90°

Angle:

90° - 47° = 43°

Find x

2x -3 = 432x = 46x = 2327 & 28Vertical angles are congruent

Angle

82°

Find y

5y + 12 = 825y = 70y = 1429 & 30Adjacent angles forming a straight line are supplementary and sum to 180°

Angle:

180° - 115° = 65°

Find n:

4n - 5 = 654n = 70n = 17.531 & 32

Angle addition postulate

∠XYZ = ∠XYW + ∠WYZ

Angle

m∠XYW = 110° - 72° = 38°

Find x:

3x + 2 = 383x = 36x = 1233 & 34Complementary and vertical angles (mentioned above)

Angle

90° - 35° = 55°

Find n:

5n = 55n = 11
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