Solve: (5x - 3y + 2z)²

Answers

Answer 1

Answer:

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]

Step-by-step explanation:

We multiply it out.

(5x - 3y + 2z) * (5x - 3y + 2z)

5x*5x + 5x*-3y + 5x*2z - 3y*5x - 3y*-3y -3y*2z + 2z*5x +2z * -3y +2z *2z

25[tex]x^{2}[/tex] - 15xy + 10xz - 15xy + 9[tex]y^{2}[/tex] - 6yz + 10xz - 6yz + 4[tex]z^{2}[/tex]

Add like terms

25[tex]x^{2}[/tex] - 15xy - 15xy + 10xz + 10xz + 9[tex]y^{2}[/tex] - 6yz - 6yz + 4[tex]z^{2}[/tex]

25[tex]x^{2}[/tex] - 30xy + 20xz + 9[tex]y^{2}[/tex]  - 12yz + 4[tex]z^{2}[/tex]


Related Questions

The dimensions of a rectangular prism are length is 2 1/4 feet width is 1 foot and height is 1 1/4 feet and the length of the sides of a small cube are 1/4 foot each. How many small cubs can be packed in the rectangular prism.

Answers

Answer:

  180

Step-by-step explanation:

2 1/4 ft = 9/4 ft, so is a length equivalent to 9 cubes.

1 ft = 4/4 ft, so is a length equivalent to 4 cubes.

1 1/4 ft = 5/4 ft, so is a length equivalent to 5 cubes.

Then the volume of the prism is ...

  V = LWH

  V = (9)(4)(5) = 180 . . . cubes

why and how do you do this I am having a hard time

Answers

Answer:

Peter walks at a rate of 13/4 miles per hour.

Step-by-step explanation:

Peter walks at a rate of 13/4 miles per hour because every hour, represented by x, he walks 3.25 hours or 13/4. y is the total miles he walked so if he walks two hours the y would equal 6.5 or 26/4 and the x would equal 2.

3/2(4x – 1) – 3x = 5/4 – (x + 2

Answers

Answer:

If you need to evaluate the equation, the answer would be x=19/16.

Step-by-step explanation:

QUESTION 11
(01.02)
Given the function f(x) = 3(x+2) - 4, solve for the inverse function when x = 2. (1 point)
O -4
Oo
O 4
08

Answers

Answer:

8

Step-by-step explanation:

3( 2 + 2 ) - 4

3( 4 ) - 4

12-4

8

scarlett bought 10 chicken wings for $24.00. how much would it cost for 17 wings

Answers

First, divide.

24 / 10 = $2.40 per chicken wing

Second, multiply.

17 * 2.4 = $40.80

Best of Luck!

Alex’s house (point F) lies on the same street as her school (point H). Alex’s bus stop (point G) lies between her house and her school.

Given FG = (2x) meters, GH = 1,000 meters, and FH = 1,200 meters, what is x?

Answers

2X+1000=1200
=> 2X = 1200 - 1000
=> 2X = 200
=> X = 100 meters
Because FG + GH = FH
Or : 2X + 1000= 1200

The value of x in the expression will be 100.

What is a line segment?

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Given that FG = (2x) meters, GH = 1,000 meters, and FH = 1,200 meters,

The value of x will be calculated by making an equation for the line segment below:-

FG + GH = FH

2X+1000=1200

2X = 1200 - 1000

2X = 200

X = 100 meters

2X + 1000= 1200

Therefore, the value of x in the expression will be 100.

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3.75 +(-4)+(-5.25) =

Answers

Answer:

-5.5

Step-by-step explanation:

Which angle refers to the same angle as ∠ D E F

Answers

Answer:

It is angle FED which is equal to angle DEF

AG bisects ∢RAZ , and ∢RAG =. 8x+5 , and ∢ZAG = 4 x + 29 find the x .

Answers

Answer:

x = 6

Step-by-step explanation:

Given AG bisects ∠ RAZ , then

∠ RAG = ∠ ZAG , that is

8x + 5 = 4x + 29 ( subtract 4x from both sides )

4x + 5 = 29 ( subtract 5 from both sides )

4x = 24 ( divide both sides by 4 )

x = 6

In a stationary store,pencils have one price and pens have another price.Two pencils and three pens cost 78 cents.However, 3 pencils and 2 pens cost 72 cents . How much does one pencil cost?

Answers

Answer:

12¢

Step-by-step explanation:

Let the unit price of a pencil be x and the unit price of a pen be y.

2x+3y=78¢

3x+2y=72¢

(2x)+3y=78¢

(3x)+2y=72¢

=2x=78¢-3y

=2x/2=78¢/2+3y/2

=x=36¢-1.5y

You then use the equation 3x+2y=72¢.

3(36¢-1.5y)+2y=72¢

=117¢-4.5y+2y=72¢

=117¢-72¢=4.5y-2y

=45¢=2.5y

=45¢/2.5=y

=18¢=y

So a pen costs 18¢.

You then use x=36¢-1.5y

x=36¢-1.5(18¢)

=x=36¢-27¢

=x=12¢

Therefore, a pencil costs 12¢.

−0.75 − (−
5
2

)+0.4+(−
4
3

)

Answers

Answer:

-13

Step-by-step explanation:

What is the equation of a line with a slope of –2 that passes through the point (6, 8)?

Answers

Answer:

The answer is

y = - 2x + 20

Step-by-step explanation:

To find the equation of the line given a point and slope we use the formula

[tex]y - y_{1} = m(x - x _{1})[/tex]

where

m is the slope

( x1 , y1) is the point

From the question

The point is (6, 8) and

slope - 2

The equation of the line is

[tex]y - 8 = - 2(x - 6) \\ y - 8 = - 2x + 12 \\ y = - 2x + 12 + 8[/tex]

We have the final answer as

y = - 2x + 20

Hope this helps you

Answer:

C on edge

Step-by-step explanation:

just took the quiz

one-half the cube of m subtracted by 4 *

Answers

Answer:

[tex]\frac{m^3}{2} - 4[/tex]

Step-by-step explanation:

Required

Determine an expression for the given statement

The expression can be rewritten as:

one-half    *     the cube of m       subtracted by      4

Convert each statement to mathematical expressions:

One half = [tex]\frac{1}{2}[/tex]

The cube of m = [tex]m^3[/tex]

one-half    *     the cube of m = [tex]\frac{1}{2} * m^3[/tex]

At this stage, we have:

[tex]\frac{1}{2} * m^3[/tex] subtracted by 4

This gives:

[tex]\frac{1}{2} * m^3 - 4[/tex]

[tex]\frac{m^3}{2} - 4[/tex]

Hence, The corresponding expression is [tex]\frac{m^3}{2} - 4[/tex]

One-half the cube of m subtracted by 4 is [tex]0.5\sqrt[3]{m} -4[/tex]

Based on the information given, one-half the cube of m subtracted by 4 is expressed as:

[tex]0.5\sqrt[3]{m} -4[/tex]

Note that the cube of m is expressed as [tex]\sqrt[3]{m}[/tex]The half of the cube of m will be given as [tex]0.5\sqrt[3]{m}[/tex]

Subtracting 4 from the result will give the final expression as [tex]0.5\sqrt[3]{m} -4[/tex]

Learn more on expressions here: https://brainly.com/question/25968875

2 over 3 = x-1 all over 4

Answers

Answer:

x = [tex]\frac{11}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2}{3}[/tex] = [tex]\frac{x-1}{4}[/tex] ( cross- multiply )

3(x - 1) = 8

3x - 3 = 8 ( add 3 to both sides )

3x = 11 ( divide both sides by 3 )

x = [tex]\frac{11}{3}[/tex]

solve for y: 3x - y = 4

Answers

Answer:

y=12x/5

x=5y/12

Step-by-step explanation:

y:3x-y=4

y=4(3x-y)

because if there is divide sign if it will go to another side it will be multiply

y=12x-4y

y+4y=12x

5y=12x

y=12x/5

or, x=5y/12

Hope it is helpful for you

if it is please follow me

☆ please help! I got an answer but I think its wrong ☆​

Answers

Answer:

-3,5,-10,16

Step-by-step explanation:

what is Twice​ x, plus 8 ​, is the same as -15?

Answers

Answer:

x=11.5

Step-by-step explanation:

2x+8=-15

x=-23/2

x=-11.5

Answer:

= -11.5

Step-by-step explanation:

2x + 8 = - 15

2x = -15-8

2x = - 23

divide both sideby 2

2x = -23

2 2

x = -11.5

What type of proof is used extensively in Geometry?

Answers

Answer: two-column

Step-by-step explanation:

Answer:

two-column proof

Step-by-step explanation:

quizlet

If m < A = 4x + 12 and x = 15, is < A acute, obtuse, or right? Justify your answer.

Answers

Step-by-step explanation:

Angle A = 4x + 12 = 4(15) + 12 = 72°.

Acute is for angles that are less than 90°.

Obtuse is for angles that are between 90° and 180°, not inclusive.

Right is for angles that are 90°

Hence the answer is acute.

The angle is an acute angle

An acute angle is an angle that is less than 90 degrees

An obtuse angle is an angle that is greater than 90 degrees and less than 180 degrees

In order to determine which type of angle it is, solve for angle A

4x + 12

4(15) + 12

60 + 12 = 72

The angle is acute because it is less than 90 degrees

Please check the attached image for an image of an acute angle

To learn more about acute angles, please check: https://brainly.com/question/4022946?referrer=searchResults

Sarah is working as a truck driver. She gets paid $100 everyday and then $22 per hr driving. How many hours does sarah have to work to make $276 in one day

Answers

Answer:8

Step-by-step explanation: she makes $100 a day so you would subtract that from the total (276) then you would divide the remainder (176) by the amount she makes an hour (22) then you would end up with 8 hours

Answer:

8 hours

Step-by-step explanation:

For $22=1 hour

For $1=1/22 hours

For $176=176/22 hours=8 hours

And she gets also $100 extra

So for $276 she works 8 hours.

solve x 3(x+1)=-2(x-1)-4

Answers

Answer:

x= -1/3 or -2

Step-by-step explanation:

3x^2 +3x= -2x +2-4

3x^2 + 5x +2=0

by factorization method

3x(x+2) 1(x+2)=0

(3x+1)(x+2)

Answer:

x3(x+1)= –2(x-1)–4

3x^2+3x=–2x+2-4

3x^2+3x+2x=2-4

3x^2+5x=–2

3x^2+5x+2=0

3x^2+3x+2x+2=0

3x(x+1)2(x+1)=0

(3x+2)(x+1)=0

3x+2=0 or x+1=0

3x=–2 or x=–1

x=–2/3 or –1

Step-by-step explanation:

–remove brackets by multiplication

–form a quadratic equation

–and then solve either by means of quadratic formula or factorisation method

which of the following sets represents a function​

Answers

Answer:

the top one

Step-by-step explanation:

one input cannot have more than one output

Frank makes x dollars per week. His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars. How much does frank earn each week? How much does franks dad earn each week?

Answers

Answer:

Frank earns $200.

His dad earns $800.

Step-by-step explanation:

Giving the following information:

His dad makes 4 times as much money as him each week. Each week their income adds up to 1.000 dollars.

We know that:

x= Franks income

4x= Dads income

y= total income

y= x + 4x

1,000= 5x

1,000/5=x

200=x

Frank earns $200.

His dad earns $800.

Put these into least to greatest

Answers

Answer:

Square root 8 over three, (square root of 4)/2, and pi/3.

Step-by-step explanation:

First of all, square the radicals to make solving this easier. Squarer root 8 over three will become 8/9, and square root 4 over 2 will now become 4/4, which is 1. Pi/3 is greater than 1, so we can now order this from least to greatest. 8/9 is the least, 1 is the second greatest value, and pi/3 is the greatest value.

Answer: 8squared/3 4squared/2 Pi/3

Step-by-step explanation:

8 squared = 2.8... = 2.8/3 (least)

4 squared = 2 = 2/2 = 1 (second least)

Pi over 3 = 3.14159.../3 = 1 .14159/3 (greatest)

which ordered pair is the solution of the equation? -3x+4y=14

Answers

Answer:

For Khan: A-Only (2,5)

Step-by-step explanation:

PLEASE HELP, ITS TIMED SO HURRY PLEASE>>>>>>>

Answers

Answer:

The answer is noncollinear

Step-by-step explanation:

Answer:

Non-collinear because the points dont line up to be colinnear. learned this today dead a** its not hard. pay attention

Step-by-step explanation:

What is 90% of 81?
X

Answers

Answer:72.9

Step-by-step explanation:

Answer:

72.9

Step-by-step explanation:

Fractions method:

[tex]81*\frac{90}{100}[/tex] because 90/100 is the same thing as 90%

That gives us 7290/100, from 81*90/100

Simplify: =729/10 = 72.9

Decimals method:

81*9 = 729, add in decimal and that's 72.9

Cross-multiplication:

90    100

?         81

This is read as 90 to 100, (as a ratio) so how many to 81? To solve, cross-multiply - 81*90=7290, then divide by 100 to get 72.9.

This is my first answer , hope it helped!

*PLEASE ANSWER, NEED HELP* Which of the following is not a type of probability model? a.) A systematic list b.) An area model c.) A spinner d.) A tree diagram

Answers

Answer:

I think a spinner is not a type of probability model.

I am not sure tho

Option (c) A spinner is not a probability model

What is Probability model?

A probability model is a mathematical representation of a random phenomenon.

Here,

In systematic list, the outcomes for an event can be listed in an organized or systematic way to make sure that none of the possible outcomes is missed out.

In area model, area models can be used to represent simple probabilities.

A probability tree diagram is used to represent the probability of occurrence of events without using complicated formulas.

But spinner is not a probability model.

Hence, option (D) Spinner is not a probability model

Learn more about Probability model here

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A sandwich shop employee
named Pedro takes 5.7
minutes to make a sandwich.
How long does it take him to
make 6 sandwiches?

Answers

34 minutes and two seconds

Is 41/50 closer to 9/11 or 10/11? Verify your answer

Answers

Answer: No it is closer to 9/11

Step-by-step explanation:

Answer: It is closer to 9/11

Step-by-step explanation: 41/50 in decimal form is 0.82.

9/11 in decimal form is 0.8181, which rounds up to 0.82

10/11 in decimal for is 0.9090, which rounds up to 0.91.

So,

41/50 = 0.82

9/11 =0.8181 OR 0.82

10/11 = 0.9090 OR 0.91      

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