Factor the four-term polynomial.
xz + x + yz + y
A. (z - y)(x + 1)
B.(x - y)(z + 1)
C.(x + y)(z + 1)

Answers

Answer 1
group like terms , factor out common variable.

(xz+x) + (yz+y)
x(z+1) + y(z+1)

factor out (z+1)

= (z+1)(x+y)
= solution C.

Related Questions

A man has 20 coins in his pocket, all of which are dimes and quarters. if the total value of his change is 425 cents, how many dimes and how many quarters does he have? your answer is

Answers

Using the guess and test method, I found that:

15 quarters = $3.75
5 dimes = $0.50

Total: 20 coins = $4.25 or 425 cents

Emelina wrote the equation of a line in point-slope form as shown below.
(y+4)=3(x+2)

What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10

Answers

Answer: [tex]y=3x+2[/tex]

Step-by-step explanation:

Given: Emelina wrote the equation of a line in point-slope form as shown below.

[tex](y+4)=3(x+2)[/tex]

To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get

[tex]y+4=3x+6[/tex]

Now, subtract 4 from both sides , we get

[tex]y=3x+2[/tex]

Hence, Emelina’s equation in slope-intercept form : [tex]y=3x+2[/tex]

Answer:  A. y = 3x + 2

Step-by-step explanation:Because it matches up the most to the problem. Its A. Have a great day and stay safe <3

An electronics store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. The manager’s target is to make at least $225 a day on sales of the portable DVD players and DVD recorders. Write an inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and r represent the number of DVD recorders.

Answers

$25 for every portable DVD sold
let p be portable DVD, then the total profit for selling p numbers of portable DVD is given by 25p

$55 for every DVD recorder sold
let r be DVD recorder, then the total profit for selling r numbers of DVD recorder is given by 55r

We want at the minimum a profit of $225 a day, so we want 25p + 55r to be at least 225

The inequality is 25p + 55r ≥ 225

An inequality that represents the number of both kinds of DVD players that can be sold to reach or beat the sales target is [tex]25p+55r\geq225[/tex].

To determine the inequality that represents the number of portable DVD players (p) and DVD recorders (r) that need to be sold to achieve the target profit of at least $225 per day, we can use the information provided about the profits from selling each item.

The store makes a profit of $25 for every portable DVD player sold and $55 for every DVD recorder sold. This can be represented by the following inequality:

[tex]25p+55r\geq225[/tex]

Here, p represents the number of portable DVD players sold.

Here, r represents the number of DVD recorders sold.

This inequality ensures that the total profit from selling portable DVD players and DVD recorders meets or exceeds the manager’s target of $225 per day.

How can I work out this: (6x-1)(4x+6)

Answers

you will want to find x first then add your -1 and 6 then divid out your x
you combine like terms and multiply add ans substract to get the answer the answer is x = 3.5

Which is equivalent to log2n=4 ?

Answers

Answer:

Option (B): Logn=4Log2

Step-by-step explanation:

Math.

If angles are supplementary, then one of the angles is an obtuse angle
a. True
b. False

Answers

Attached the solution and work.

Solve the equation for t.

3t + 2 = 5(t – 2) – 2t + 8



Question 4 options:

Infinitely many solutions


x = 2


x = 3


No solution

Answers

3t + 2 = 5(t – 2) – 2t + 8

Start by distributing...

3t + 2 = 5t - 10 - 2t + 8 

Combine like terms....

3t + 2  = 3t - 2

Subtract 3t from both sides 

2 = -2 

Since 2 is NOT equal to -2 there is no solution for this equation
the answer is not given. no solution

Frank’s bookshelf is 1 1/2 meters high. Each row in the bookshelf is 3/16 meters high. How many rows are there in Frank’s bookshelf?

will give brainliest to a reasonable answer :P

a)3
b)6
c)8
d)12

Answers

There are 8 rows in the bookshelf. You do 1.5/0.1875=8 (1 1/2 / 3/16)

Answer 8 rows.

Hope this helps!
Can u plz mark me as brainliest? I really need it!

Answer:

8 rows

Step-by-step explanation:

A vertical plane intersects the three-dimensional object in the image and divides the object into equal halves. What is the shape of the cross section?

Thank you :)

Answers

If you were to take a knife and cut this shape down the middle, starting from the top, what will the cross section look like? 
It will look a lot like how the object looks from the side.
The best answer is D, the last image. 

Answer:

Option 4 is correct .

Step-by-step explanation:

Given : A three dimensional figure

To Find : What is the shape of the cross section?

Solution :

If we intersects the three-dimensional object in the image and divides the object into equal halves by vertical plane then we can see the attached figure what the output will be .

We can see that if we see the cross section from the side then it looks like the fourth one

So, Option 4 is correct .



Quick Question. After dividing 30 by 2, do I multiply 15 by 3 or add 3 it to? (for question d) And thanks!

Answers

You always do whats in the parenthesis ()  first, so 2 + 3 =5

Then you divide the 30 by 5 (: okay?

So it's 30 ÷ 5 = 6

Your answer is 6

Good luck!

Answer:

6

Step-by-step explanation:

WILL GIVE BRAINLIEST-The number of pollinated flowers as a function of time in days can be represented by the function.

f(x)=(3)x/2



What is the average increase in the number of flowers pollinated per day between days 4 and 10?



Enter your answer in the box.

Answers

Final answer:

The average increase in the number of flowers pollinated per day between days 4 and 10 is calculated by finding the values of the function on days 4 and 10, subtracting these values, and dividing by the number of days between 4 and 10. The result is an average increase of 39 flowers per day.

Explanation:

Calculating the Average Increase in Pollinated Flowers

To find the average increase in the number of flowers pollinated per day, we need to evaluate the function f(x) = (3)x/2 at days 4 and 10 and then find the difference between these two values. First, let's calculate the number of flowers pollinated on day 4.

f(4) = (3)4/2 = (3)2 = 9

Now, let's calculate the number of flowers pollinated on day 10.

f(10) = (3)10/2 = (3)5 = 243

The difference between these two values is:

243 - 9 = 234

Lastly, to find the average increase per day between days 4 and 10, we will divide this difference by the number of days between 4 and 10, which is 6 days (10 - 4 = 6).

Average increase per day = 234 / 6 = 39

Therefore, the average increase in the number of flowers pollinated per day between days 4 and 10 is 39 flowers.

Write an equation of the line passing through each of the following pairs of points.

a) (−10, 4), (2, −5)

b) (5, 7), (−6, −3)

Answers

a) First find the slope of the two coordinates given.

Slope = y2 - y1 / x2 - x1

Substitute the values of the coordinates. It doesn't matter which coordinate is x1 or x2 as long as thereby value corresponds.

Slope = -5 - 4 / 2 - (-10)

Slope = -9 / 12

Slope = -3/4

Then, plug in either of the coordinates into the equation of a line.

y - y1 = m(x - x1)

y - 4 = -3/4(x - (-10)

y - 4 = -3/4(x + 10)

y - 4 = -3/4x - 7.5

y = -3/4x - 3.5


Check if using the other coordinate makes a difference.

y - (-5) = -3/4(x - 2)

y + 5 = -3/4x + 1.5

y = -3/4x - 3.5

The equation of a line for these coordinates is:

y = -3/4x - 3.5


2) Just apply the same concept for the second one :)

The required equation of the line passing through the coordinates  (−10, 4), (2, −5) is 4y+3x = -14

The required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27

The formula for finding the equation of a line is expressed as:

[tex]y-y_0=m(x-x_0)\\[/tex]

Given the coordinates (−10, 4), (2, −5)

Get the slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{-5-4}{2-(-10)} \\m=\frac{-9}{12}\\m=\frac{-3}{4}[/tex]

Get the required equation

[tex]y-4=-3/4(x+10)\\4(y-4)=3(x+10)\\4y-16=-3x-30\\4y + 3x = -30+16\\4y+3x = -14\\[/tex]

b) For the equation of the line with the coordinates (5,7) and (-6, -3)

Get the slope

m = -3-7/-6-5

m = -10/-11

m = 10/11

The required equation will be:

y - 7 = 10/11(x-5)

11(y-7) = 10(x-5)\

11y - 77 = 10x - 50

11y - 10x = -50 + 77

11y - 10x = -27

Hence the required equation of the line passing through the coordinates (5, 7), (−6, −3) is 11y-10x = -27

Learn more here: https://brainly.com/question/17003809

Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number

Answers

8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16

what is the solution of the following system?
3x+3y=10
-9x-9y=-30
Please give me a step by step!

Answers

first divide the 2nd equation by -3
3x+3y=10
same as other
they are the same line
so the solution is where they intersect
they are the same line
the intersection points are the points on the line


the solution is 3x+3y=10, that's all the points that satisfy the system

Hal, Zelda, Maya, and Jason each recorded the height and age of five classmates. They used the data to create the tables below.
(Image)
In which student’s data can height be considered a function of age?

Answers

Answer:

Step-by-step explanation:

Hal's because there is one age for every height .

Answer:

The answer is A

Step-by-step explanation:

I got it right on edge 2021

A landscaper builds a square garden behind a house.if the outside border of the garden consist of 36 feet of bricks then what is the area of the garden in square feet?

Answers

81 feet.

Since 36 is the perimeter, you divide it by 4 because it is a square, and all the sides of a square are congruent. 36 / 4 is 9. 9 is one of the sides of the square. To find the area, square the nine., and get 81 feet.

(99 POINTS AVAILABLE)
When three or more lines intersect at one​ point, the point of intersection is called the​ ____________.

Answers

When three or more lines intersect in one point, they are concurrent. The point at which they intersect is the point of concurrency.
The point of concurrency. Hope it helps!

What is the repeating decimal 0.242424.... as a fraction in simplest form?

Answers

24/99           So 1000x = 234.234234234….

So now just take x away from 1000x  999x = 234.234234234… – 0.234234234… = 234 999x = 234 So x = 234/999 Simplify it down. for example x = 26/11  recurring bit doesn’t come directly after the decimal but its a bit harder.
               

A repeating decimal is a decimal that has reoccurring numbers in a particular sequence.

The fraction in the simplest form is 8/33

The decimal is given as:

[tex]Decimal = 0.242424....[/tex]

The repeating numbers in the decimal are 2 and 4.

So, we express the number as follows (as a fraction)

[tex]Fraction = \frac{24}{100}[/tex]

Subtract 1 from the denominator

[tex]Fraction = \frac{24}{100 -1}[/tex]

[tex]Fraction = \frac{24}{99}[/tex]

Reduce the fraction by dividing the numerator and the denominator by 3

[tex]Fraction = \frac{24/3}{99/3}[/tex]

Simplify

[tex]Fraction = \frac{8}{33}[/tex]

Hence, the fraction is 8/33

Read more about repeating decimals at:

https://brainly.com/question/12453251

Jack invests $500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. if he receives a total of $85 interest in 1 year, at what rate is the $500 invested?

Answers

Final answer:

The $500 was invested at an annual interest rate of 3%.

Explanation:

Let's assume the interest rate for the $500 investment is x %. Therefore, the interest rate for the $2000 investment would be (x + 0.5) %, since it is one-half percent higher.

The total interest received is $85. So, we can set up the equation:
$500(x/100) + $2000((x + 0.5)/100) = $85

Simplifying and solving the equation, we get:
5x + 20(x + 0.5) = 85
5x + 20x + 10 = 85
25x = 75
x = 3

The $500 was invested at an annual interest rate of 3%.

While catching fireflies, you and a friend decide to have a competition. after mm minutes, you have (3m+13)(3m+13) fireflies and your friend has (4m+6)(4m+6) fireflies.
a. how many fireflies are caught each minute during the competition?

Answers

To find for the number of fireflies caught in a minute, we simply look at the equation. The equation is linear and takes the form y = slope * x + b

where slope is also equivalent to the fireflies caught each minute.

So the equation of you and your friend is: (where y is the total fireflies caught)

 

you:

y = 3 m + 13

 

your friend:

y = 4 m + 6

 

So the fireflies caught each minute is:

you: 3

your friend: 4

 

So a total of 7 fireflies each minute combined

Now that you have selected the correct unit above, what is the value of x?

Answers

Honey we can’t answer the question if we don’t know the problem.

If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and bran flakes

Answers

Using the given ratio, it would be 300:2700. So there would be 300 raisins in a box of 3000 raisins and bran flakes.

Answer:

320?

Step-by-step explanation:

sorry if its wrong edg 2020

Worth 99 points and brainliest if correct.

Answers

Hi there!

Yes, the correct answer is option C

The reason is because angle 2 is equal to angle 4 but not angle 3. The reason angle 2 is equal to angle 4, is because they are congruent angles.

So, angle 2 = angle 3 is not correct because they are not congruent with each other.

I hope this explanation helps~

Option C is your answer

I believe that the question is asking which one is false (as all the other are true).

Angles 2 and 3 are not congruent, because they are next to each other (not vertical angles). Rather, they are supplementary angles, meaning they would add up to 180° in measurement.

hope this helps

Greg is 5 feet three inches tall and weighs 260 pounds. greg is ________.

Answers

Greg is within the obese range.

In how many ways can you order 3 red balls and 2 white balls taken from a bin of 5 blue, 7 red, 3 yellow, and 8 white? (balls with the same color are indistinguishable) (233,2)

Answers

i think its 8 im not sure but i have the same paper and she marked mine right

Answer:

It is 8 since I got it right.

Leon drew Triangle ABC and Triangle DEF so that Angle A is congruent to Angle D, Andgle B is Congruent to Angle E, AB = 4, and DE = 8. Are Triangle ABC and Triangle DEF similar? If so, identify the similarity postulate or theorem that applies.

Answers

it is similar AA just took it 

Answer:

The correct option is D

Step-by-step explanation:

Given triangle ABC and triangle DEF so that ∠A≅∠D, ∠B≅∠E, AB = 4, and DE = 8. we have to tell the similarity theorem or postulate that applies to prove above triangles congruent.

In ΔABC and ΔDEF

∠A=∠D    (Given)

∠B=∠E     (given)

Two angles are congruent

Hence, by AA similarity postulate which states that if the two corresponding angles of two triangles are congruent they are similar i.e ΔABC~ΔDEF

Hence, The correct option is D

The length of a rectangle is 4 inches more than its width. the perimeter of the rectangle is 32 inches. what is the length of the rectangle

Answers

the length is 10 width is 6
2(10+6) =32

How do I find the value of b

Answers

The initial amount is 8. That is b.
The amount it grows is 2x, 2 employees per quarter.

y = 2x + 8
b would be the addition of the starting 8 employees. you gotta add that into equation. you cannot multiply that number thats why it is a plus b = +8, no matter what ax value is there is always the 8 employees who starting first.

C(x) = 0.5x+70 find the domain and range

Answers

This function is defined from -inf to inf for all real numbers of x. The only reason a function would have a break in the domain and range would be if there was a radical, fraction, ln, etc(any operand that has a restriction)

What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ? Enter your answer in the box.

Answers

the answer to this problem is -x+3y=12
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