simplify the following expression 3 [(x^3-7x+1)-(x+4)]

Answers

Answer 1

Answer: 3x^3−24x−9

Step-by-step explanation: 3(x^3−7x+1−(x+4))

=(3)(x^3+−7x+1+−x+−4)

=(3)(x^3)+(3)(−7x)+(3)(1)+(3)(−x)+(3)(−4)

=3x^3−21x+3−3x−12

=3x^3−24x−9


Related Questions

find the slope of the line that contains (-2,-2) and (-10,-9)

Answers

Answer:

[tex] \huge \frac{7}{8} \\ [/tex]

Step-by-step explanation:

The slope of a line given two points can be found by using the formula

[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]

From the question we have

[tex]m = \frac{ - 9 - - 2}{ - 10 - - 2} = \frac{ - 9 + 2}{ - 10 + 2} = \frac{ - 7}{ - 8} = \frac{7}{8} \\ [/tex]

We have the final answer as

[tex] \frac{7}{8} \\ [/tex]

Hope this helps you

Answer:

7/8

Step-by-step explanation:

85% of all teachers work in the summer. If you sample 6 random teachers, what is the probability they all work over the summer?

Answers

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Given parameters

Percentage of all teachers the works in summer  = 85%

Number of teachers sampled  = 6 teachers

Unknown:

The probability that they all work in summer  = ?

Solution:

Now, to solve this problem, let us find the number of teachers that works in summer from the given size;

    Number of teachers = 85% x 6  = 5.1;

  Since it is not possible to have 5.1 people, the number of teachers will be 5

The probability  = [tex]\frac{5}{6}[/tex]

Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup

Answers

1 liter= 1000 ml
1000ml split between 10 cups (1000 divided by 10)

100 ml is the answer

Which is larger 14/25 or 0.54

Answers

Answer:

14/25

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

HELP ME PLEASEEEEEEEE

Answers

Answer: Gas

Explanation: Gas is a colorful comment in the galaxy that is found between stars.

Hope that helped! Happy holidays.

PLEASEEEE HELP ME!!!!!

Answers

Answer:

look it up on tiger algerbra

Step-by-step explanation:

Answer:

3 TIMES 2 DONT EQUAL 7

Step-by-step explanation:

PLEASE HELP ITS DUE TODAY!!

Answers

Answer: 3xy2 and 8xy2

-3x2 and 1/2x2

X2y and 5x2y

Which is smaller, one-ninth of 54 or one-fourth of 36?

Answers

Answer:

one-ninth of 54

Step-by-step explanation

54*1/9=6

36*1/4=9

Answer:

1/9 of 54  is smaller than 1/4 of 36

Step-by-step explanation:

1/9 of 54 is 54/9 and that is 6

1/4 of 36 is 36/4 and that is 9.

Please mark brainliest

I need help with this please.

Answers

Answer:

CCCC.

Step-by-step explanation:

in 2017, the price of a Forever stamp from the United States Postal Service was $0.49. How many Forever stamps could be purchased for $30.38?

Answers

62 stamps
explanation: 30.38/.49=62

What is the slope of the graph of
4x + 3y = 15?

Answers

Answer:

-4/3

Step-by-step explanation:

y=mx+b

3y=-4x+15

y= -4/3 x +5

m is slope b is y intercept

Solve the following system of equations using a method of your choice.

Write the solution as an ordered pair ( , ) and then you will be prompted to explain your thinking.
4x-2y=4
x+y=10

Answers

Answer:

Step-by-step explanation:

cant remember what this method is called but

change the second equation to be y = something

x + y = 10

y = -x + 10

plug in this y= in the first equation to get x

4x -2(-x + 10) = 4

4x + 2x -20 = 4

6x = 24

x = 4

then plug in the x we found into the original second equation

4 + y = 10

y = 6

so your ordered pair would be (4,6)

hope this helps <3

Find the arc length of a 80° slice of a large 15 in. radius pizza.

Answers

Answer:

20.93 in

Step-by-step explanation:

Arc length formula:

s = 2 π r (θ/360°)

Substitute values:

s = 2*3.14*15(80/360) = 20.93 in

please help me i’m so confused

Answers

I think it’s between Graph D and Graph C

I think it’s D. I could be wrong though

PLEASE HELP HELP HELP HELP HELP HELPPPPPP

Answers

Answer:

your picture isnt loading can you tell me the problem?

Step-by-step explanation:

A friend recently planned a camping trip. He had two flashlights, one that required a single 6-V battery and another that used two size-D batteries. He had previously packed two 6-V and four size-D batteries in his camper. Suppose the probability that any particular battery works is p and that batteries work or fail independently of one another. Our friend wants to take just one flashlight. For what values of p should he take the 6-V flashlight

Answers

Answer:

The values of p = 0 < p ≤ 2/3

Step-by-step explanation:

First we write the probability of 6V flashlight working representing it as a binomial mass function of a binomial random variable

P ( 6v flashlight working  ) = P ( at least one 6V battery works )

                                           = P ( 1 6v battery work )  + P ( 2  6v battery work )

                                           = b( 2; 2, p ) + b( 1; 2, p )

write out a formula of  b( 2; 2, p ) + b( 1; 2, p )

P ( 6v flashlight working  )  = p^2 + 2p( 1 - p )

Next we write the probability of D flashlight working representing it as a binomial mass function of a binomial random variable

P ( D flashlight works ) = p ( at least two D batteries works )

                                     = b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

write out a formula of  b( 4; 4, p ) + b(3;4, p ) + b(2; 4, p )

P ( D flashlight works ) = [tex]P^4 + 4p^3 ( 1- p ) + 6p^2 ( 1- p)^2[/tex]

attached below is the remaining solution

162 divided by 4.1 estimate

Answers

Answer:

40

Step-by-step explanation:

162/4.1= 39.51 round to 40

The solution of the equation after dividing would be 40.

Used the concept of the divide that states,

The division method is used to distribute a group of things into equal parts. The division is just the opposite of multiplications.

Given that,

162 divided by 4.1

Now divide the numbers,

162 divided by 4.1

It can be written as,

162 ÷ 4.1

162 / 4.1

1620/41

This gives,

39.512

Rounded to whole numbers,

40

Therefore, the solution is 40.

To learn more about the divide visit:

brainly.com/question/28119824

#SPJ6

Joan is buying a new car for a total of $23,150. If she makes equal payments for 48
months, about how much is Joan's monthly payment?

Answers

Answer:

About $482

Step-by-step explanation:

23150÷48=482.29

Round 482.29 to 482 if u want

What is the circumference, in feet, of the circle. Round to the nearest tenth

Answers

Hello,

Let’s solve this! To find the circumference use square root, first take root1.5. Which is 1.2
Hope this helps!

Answer: 4.7 ft

Step-by-step explanation:

Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.

C=3.14(d)

1.) Insert the numbers into the formula: C= 3.14*1.5

You’ll get 4.71 as your answer.

Next round to the nearest tenth and you’ll get 4.7.

Hope this helps!

The area
The area of a triangle ABC is 64 cm². Given AB = 11 cm and BC = 15 cm, Find ABC. Trying to find angle B.​

Answers

Answer:

  ∠B ≈ 50.9°

Step-by-step explanation:

The area formula for a triangle can be used to find the missing angle.

Area formula

We don't want confusion between A for area and angle A, so we define Q as the area of the triangle with sides a, c, and included angle B. In this scenario, 'a' represents side BC (opposite angle A), and 'c' represents side AB (opposite angle C).

  Q = (1/2)ac·sin(B)

Unknown angle

Solving for B, we have ...

  2Q/(ac) = sin(B)

  B = arcsin(2Q/(ac)

  B = arcsin(2(64)/(11(15)) = arcsin(128/165)

  ∠B ≈ 50.9°

The length of a rectangle is 3 centimeters less than five times its width. Its area is 14 square centimeters. Find the dimensions of the rectangle. W= L=​

Answers

Step-by-step explanation:

Let breadth =x

Length=5x-3

As we know that in a rectangle

[tex]\boxed{\sf Area=lb}[/tex]

Substitute the values

[tex]{:}\hookrightarrow\sf x (5x-3)=14 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x=14[/tex]

[tex]{:}\hookrightarrow\sf 5x^2-3x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x^2-10x+7x-14=0 [/tex]

[tex]{:}\hookrightarrow\sf 5x (x-2)+7 (x-2)=0[/tex]

[tex]{:}\hookrightarrow\sf (x-2)(5x+7)=0 [/tex]

[tex]{:}\hookrightarrow\sf x-2=0\quad or\quad 5x+7=0 [/tex]

[tex]{:}\hookrightarrow\sf x=2\:or\:x=\dfrac {-7}{5}[/tex]

Ignore negative value

[tex]{:}\hookrightarrow\sf Breadth =2cm[/tex]

[tex]{:}\hookrightarrow\sf Length=5 (2)-3=10-3=7cm[/tex]

34 − 23⋅ (5 − 2) − 60

Answers

34-23 times (5-2) - 60
33-23 times (3) - 60
33 - 69 - 60
33- 9
24
i hope this helps! feel free to mark brainliest

Answer:

-95

Step-by-step explanation:

Follow order of operations,

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Make sure to do them left to right

7x - 2 = 9x+5
Please help!!

Answers

Answer:

x=-7/2

Step-by-step explanation:

Answer:

x = -7/2 or -3.5

Step-by-step explanation:

7x - 2 = 9x + 5

Add 2 to both sides

7x = 9x + 7

Subtract 9x from both sides

-2x = 7

Divide both sides by -2

x = -7/2

x = -3.5

What is the predicted value of fuel efficiency (in miles per gallon) for a car with a 2.5 cubic liters engine? Round your answer to two decimals, if needed.

Answers

Answer:

25.92

Step-by-step explanation:

Fuel efficiency is the measure or effort that is required to convert the chemical energy in the fuel to the kinetic energy which the cars needs to move. It is meant by how good or effectively the fuel is utilized by the vehicle. It is the ability of the engine to extract more energy from the fuel.

In the context, the size of the engine is 2.5 cubic liters. Then the predicted value of the fuel efficiency will be 25.92 miles per gallon.

PLEASE HELP ASAP
How do you find the total for a purchase if there is sales tax?

Answers

Answer:

Conver the sales tax to a decimal and ad it to 1, then multiple that total to the price of the item. Please mark as breinlest

Answer:

just multiply the tax percent to the cost of the product and move the decimal, or you can use a percent calculator

question what is −8y2 + 8y2

Answers

Answer:

0..................

Answer:

0

Step-by-step explanation:

+ + = . . Please im on a time limit

Answers

Answer:

what do you mean lol im slow haha

Answer:

In order to solve we need to know what the equation  is.

Step-by-step explanation:

Order these numbers from lowest to highest
-24.35 , 11.20 , -7.96

Answers

Answer:

-24.35, -7.96, 11.20

Step-by-step explanation:

Negative numbers are worth way less than positive numbers. In order to solve, the biggest looking negative number is worth less.

Positive is bigger

Negative is smaller

*EXTRA*

negative plus negative = positive

negative plus positive = negative

negative times negative = positive

negative times positive = negative

Hopefully you will understand!

An astronaut who weighs 95 kilograms on Earth weighs 15.8 kilograms on the Moon. How much would a person weigh on the Moon if they weigh 105 kilograms on Earth? Round your answer to the nearest tenth, or one decimal place.
please help me ​

Answers

I do not know but u should pay more respect

What is the perimeter of this polygon?

Answers

------------------------ᴇʀʀᴏʀ

 

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