Factor each expression, if possible. Identify any special cases, such as the difference of squares or a perfect square trinomial xy-4y+2x-8

Answers

Answer 1

Answer:

[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]

Step-by-step explanation:

Given

[tex]xy-4y+2x-8[/tex]

Required

Factor the expression

[tex]xy-4y+2x-8[/tex]

Group the expression

[tex](xy-4y)+(2x-8)[/tex]

Factor each group

[tex]y(x-4)+2(x-4)[/tex]

This gives:

[tex](y + 2)(x-4)[/tex]

Hence:

[tex]xy-4y+2x-8 = (y + 2)(x-4)[/tex]


Related Questions

Find the vertex and focus of the parabola.
y^2 - 12y + 4x + 4 = 0​

Answers

Not really sure but 4 and the other - and the 0 so yes.

Answer:

Vertex: (8,6) Focus (7,6)

Step-by-step explanation:

32/4=8

Half of 12=6

is that true that r is the set of counting numbers from 7 to 12 is in a roster notation​

Answers

Yes it is true 7to 12 is in a roster notation

Find the inverse of the following function. g(x) = 1/x - 2

plz show work

A.) g^-1(x) = - 2/x-1

B.) g^-1(x) = 2/x-1

C.)g^-1(x) = 1/x+ 2

D.) g^-1(x) = 2/x+1

Answers

Answer: C. g^(-1) (x)= 1/(x+ 2)

Step-by-step explanation:

y=1/x-2

x=1/y-2

1/y-2=x

1/y=x+2

1=(x+2)y

1=xy+2y

xy+2y=1

(x+2)y=1

y=1/(x+2)

answer: g^(-1) (x)= 1/(x+ 2)

three and two forths - one and two thirds =
3 2/4 - 1 2/3 =

Answers

Answer:

1.83333333333

Step-by-step explanation:

pls mark me brainliest

ok thanks :) :) :) :)

Write an algebraic expression for the word expression. the quotient of 10 times m and 7

Answers

Answer:

10m/7

Step-by-step explanation:

quotient means division so 10 times m is 10m

and then we will divide 10m and 7

10m/7

please mark as brainliest

HELP QUICK ILL GIVE TOU BRAINLIEST
find the surface area...

Answers

Answer: 483.09 in^2
Explanation: 12, 11, 10, 12

Photo attached please help

Answers

it’s a

hope this helped!:)
I’m pretty sure it’s a

PLEASE HELP




Consider the expressions (3m+2n−6) and (−4−6m+7n).

Part A


What is the sum of the expressions for n=−2 and m=5?


The sum is

Answers

Answer:

5, -20

Step-by-step explanation:

Given the equation (3m+2n−6) and (−4−6m+7n).

Also, given that we're told that

n = -2 and

m = 5, if we take a rather direct approach by substituting like for like, we have

(3m+2n−6) = (3 * 5 + 2 * -2 - 6)

(3m+2n−6) = 15 - 4 - 6

(3m+2n−6) = 15 - 10

(3m+2n−6) = 5

(−4−6m+7n) = (-4 - 6 * 5 + 7 * 2)

(−4−6m+7n) = -4 - 30 + 14

(−4−6m+7n) = -34 + 14

(−4−6m+7n) = -20

Therefore, we proceed to conclude that the answers are 5 and -20 respectively

Write the percent as a fraction in simplest form.
36% =

Answers

Answer:

36%= 9/25 in fraction form (:

Answer:

36/100 sorry if wrong

Step-by-step explanation:

A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?

Answers

Answer:

The difference is 10,400$.

Step-by-step explanation:

$61,000-$50,600=$10,400

What’s the answer pls

Answers

Answer:

Step-by-step explanation:

There is no bird on the spinner. therefore the answer is impossible because there is no bird.

Answer:

Impossible - There's no bird on the wheel.

Step-by-step explanation:

Consider the graph of Nintendo Switch owners in each city.

City Number of Owners Total Population
Indianapolis, IN 672 860,902
Reno, NV 220 247,680
Sacramento, CA 379 495,234
Columbus, OH 492 880,182
Tampa, FL 196 377,165

If Reno had the same number of Nintendo Switch owners as Columbus per capita, how many Nintendo Switch owners would Reno expect to have? (Round your answer to the nearest whole number)

Answers

Answer:

138.45

Step-by-step explanation:

it's correct.

An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
A. There is no correlation between number of inhabitants and amount of trash produced.
B. There is a correlation between number of inhabitants and amount of trash produced. However, there is no causation. This is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants.
C. There is a correlation between number of inhabitants and amount of trash produced. There may or may not be causation. Further studies would have to be done to determine this.

Answers

Answer:

C.

Step-by-step explanation:

There's no problem for now but it still needs to be monitored in case something might happen.

Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.

Answers

Answer:

The observed value of the chi-square statistic is 34.71

Step-by-step explanation:

Given the data in the question';

Calculate the observed value of the chi-square statistic

The chi-square statistic will be;

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]

here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class

E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class

[tex]_{i}[/tex]  = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly

so  

∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112

∈1 = n × probability of guessing correctly 168 × 1/3  = 56

so

∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]

= 1296/56 + 1296/112

= 23.14 + 11.57

= 34.71

Therefore, the observed value of the chi-square statistic is 34.71

Rewrite the expression using the Distributive Property. Explain your answer or show your work.

6(x−4)

Answers

Answer:

6x - 24.

Step-by-step explanation:

Distributive Property is:

a(b + c)

= ab + ac

So  for  this expression

6(x - 4)

= 6*x + 6 * -4

= 6x - 24.

if sarah has 800 marbles and her teacher gave her 3,00 more and she have 100 to her 2 friends how much will sarah have??

Answers

Answer:

3600

Step-by-step explanation:

If she has 800 her teacher gives her 3000= 3800 and she gave 100 to both of her friends - 200 then she will have 3600.

Hope this helps! Please consider marking brainliest! I hope you have an amazing day. Always remember, your smart and you got this! -Alycia


Solve for x:
3x – 2(6 - x) = 7x + 2(5 + x) – 6

Answers

Answer:

-4

Step-by-step explanation:

3x-2(6-x)=7x+2(5+x)-6

First, distribute.

3x+ −12+ 2x = 7x + 10 + 2x −6

Combine like terms on each side.

5x − 12= 9x + 4

To solve for x, pick a side to solve. I will solve the right x.

5x - 12 = 9x + 4

-5x         -5x

-12 = 4x + 4

Subtract 4 to isolate the variable.

-16 = 4x

Divide 4.

-4 = x

Estimate the value of 50.
O A. between 5 and 6
O B. between 6 and 7
C. between 7 and 8
<
D. between 8 and 9
PLEASE HELPP

Answers

Answer: c

Step-by-step explanation: because 7 squared is 49 and 8 squared is 64

nvm i read the question wrong

Step-by-step explanation:

the person above is correct

david has twice as many cousins as becky
becky has twice as many cousins as nishat
nishat has 6 cousins
how many cousins does david have?

Answers

David has 24 cousins

Nishat has 6 cousins

Becky has twice as many cousins, so that would mean Becky has 12 cousins

David has twice as many cousins as Becky, so David has 24 cousins

I feel bad for David

PLZ HELP ME What shape is this cross-section?

Answers

Answer:

i'm not sure if i'm right but think is cube

Which is the equation of a line perpendicular to the line with the equation:
y = -3x + 5

A. Y= -3x -7
B. Y= 3x + 2
C. Y= -1/3x - 1/2
D. Y= 1/3x - 1/2

Answers

Answer:

D- y=1/3x-1/2

Step-by-step explanation:

I believe that the slope needs to be opposite and the reciprocal

Summarize the process of solving a two-step equation.

Answers

Answer:

Solving Two-Step Equations

1) First, add or subtract both sides of the linear equation by the same number.

2) Secondly, multiply or divide both sides of the linear equation by the same number.

3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable

Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?

Answers

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

State the average rate of change for the situation. Be sure to include units.

The population of Felton was 2400 in 2013 and 2800 in 2017.

The population of Felton grew by

Answers

In 4 years is grew by 400 people averaging to 100 per year

What is the measure of angle M?

Answers

Answer:

35°

Step-by-step explanation:

4x+11 = 5x-24

5x-4x=x

x=24+11

x=35

Prior to hosting an international soccer match, the local soccer club needs to replace the artificial turf on their field with grass turf. The grass turf will cost $ 6.75 per square meter. If the field is 0.101 km by 0.065 km, how much will it cost the club to add the grass turf to their field

Answers

Answer:

$44,313.75

Step-by-step explanation:

First, we need to turn the km into meters. There are 1000 meters in a km meaning we need to multiply each of these values by 1000.

0.101 km * 1000= 101 meters

0.065 km * 1000 =  65 meters

Now we need to multiply these values together to find the area of the field

101m * 65m = 6,565[tex]m^{2}[/tex]

Finally, we need to multiply this area by the cost per square meter

6,565[tex]m^{2}[/tex] / 6.75 = $44,313.75

The total repair will cost $44,313.75

A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.

Answers

The probability of an incorrect conclusion is,

In 84 % of inspection,  [tex]7.56\%[/tex]  of them labeled as not defective but they are actually defective

Probability :

It is given that,

A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.

Of the devices checked, 84% are not defective.

Actual not defective is,

            [tex]\frac{91*84}{100} = 76.44\%[/tex]

In  [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective

But [tex]84- 76.44 = 7.56\%[/tex]  of them labeled as not defective but they are actually defective

Learn more about Probability here:

https://brainly.com/question/24756209

Helppppppppppppp meeeeee

Answers

Answer:

9

Step-by-step explanation:

because 9 in a third is 3

3 + 12 is 15

9x2 is 18

and 15 is 3 less than 18

Please please please help ill do anything ​

Answers

Answer:

Anything??

Step-by-step explanation: (Im joing btw didnt want to offend anyone lol)

x=40

Tickets for a concert cost $4.00 for a balcony seat and $7.50 for an orchestra seat. If ticket sales totaled $1,585 for 300 tickets sold, how many more tickets for balcony seats were sold than tickets for orchestra seats? - thanks

Answers

Answer:there were 80 more tickets sold for balcony seats than for orchestra seats

Step-by-step explanation:

Step 1

Let number of tIcket for balcony be represented as x

and

Number of tickets for orchestra seat be represented as y such that the total number pf tickets sol;d would be

X+ Y = 300--- equation 1

And the cost for $4.00 for a balcony seat and $7.50 for an orchestra seat totalling ticket sales of $1,585 be represented as

4x + 7.50y = 1585----- equation 2

Step 2

X+ Y = 300--- equation 1

4x + 7.50y = 1585----- equation 2

Multiplying equation 1 by 4 and subtracting from equation2

4x + 7.50y = 1585

-4x+4y= 1200

3.50y =385

y =385/3.50

y=110

To find x, when y=110

X+ Y = 300--- equation 1

x+110=300

x= 300-110= 190 tickets

balcony seats  tickets = 190

orchestra seats tickets = 110

Therefore, there were 80 more tickets sold for balcony seats than for orchestra seats

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