Rewrite the expression by combining like terms.
3y + 5x2 + 10x + 2x2 + 15x - 3y
2 + 2xy + 2x
3x2 + 3x + 6y
7x24
30x² + 6y² + y

Answers

Answer 1

Answer:

Factoring 3x2 - 2x - 1

The first term is, 3x2 its coefficient is 3 .

The middle term is, -2x its coefficient is -2 .

The last term, "the constant", is -1

Step-1 : Multiply the coefficient of the first term by the constant 3 • -1 = -3

Step-2 : Find two factors of -3 whose sum equals the coefficient of the middle term, which is -2 .

-3 + 1 = -2 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 1

3x2 - 3x + 1x - 1

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-1)

Add up the last 2 terms, pulling out common factors :

1 • (x-1)

Step-5 : Add up the four terms of step 4 :

(3x+1) • (x-1)

Which is the desired factorization

Final result :

5xy2 • (x - 1) • (3x + 1)


Related Questions

Maria is starting a small DVD business online. She makes $3 on each DVD she sells. To start her business though, she had to invest $750. How many DVDs does she need to sell before she starts to make a profit?

Answers

Answer:

750 divided by 3. Equals 250

Step-by-step explanation:

If it says how much is needed and it gives the amount the person has, you will need to divide.

(DUE TODAY) Paul wants to build this model with clay, but he does not know how much clay to purchase. Draw a line to separate the model into two rectangular prisms. Then write an expression for the volume of the model. What is the volume?

Answers

Answer:

first draw a horizontal line through the middle, (you prob know where)

top prism: 5x4x5

bottom prism: 9x5x3

volume: 5x4x5+ 9x5x3

=235cm²

Step-by-step explanation:

There you go, hope this helps!

Through: (1,-4) and (-3,1)

Answers

Answer:

of a slope?

Step-by-step explanation:

what is the shape and direction of f(x)=(x+7)(x+11)

Answers

Given:

The function is

[tex]f(x)=(x+7)(x+11)[/tex]

To find:

The shape and direction of the given function.

Solution:

We have,

[tex]f(x)=(x+7)(x+11)[/tex]

It can be written as

[tex]f(x)=x^2+11x+7x+77[/tex]

[tex]f(x)=x^2+18x+77[/tex]

It is a quadratic function and the power of [tex]x[/tex] is 2 so the graph of this function is a vertical parabola.

The leading coefficient is positive so the parabola opens upward.

Therefore, the given function is a vertical parabola that opens upward.

No solution is the answer when both lines have the same slope with a different y-
intercept.
o True
o False

Answers

When lines have the same slope and different y-intercepts they are parallel lines. Parallel lines never intercept. Because these lines never intercept, they have no solution. Since they have no solution they are not consistent, dependent or independent like the last two systems we looked at.

Look at the picture.
Thank u!

Answers

There is a solution to each equations!
Yeah what she said ^

Graph x > -2. PLEASE HELP!!!!!

Answers

Answer:

x > -2

Step-by-step explanation:

B/c the sign is  > it will be an open circle

B/c the sign is  > it will be an infinity line

Also, use math-way, it'll help u with everything

If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width

Answers

Answer:

255

Step-by-step explanation:

(15x2 - 16x - 15) = 270

(3- 5) = -15

 270

-  -15

= 255

The breadth of the rectangle is (-5x-3).

Area of rectangle

The area of a rectangle is given as the product of its length to its breadth.

[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]

Given to us

area of a rectangle = (15x2 - 16x - 15)

length = (3x - 5)

Width

[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]

Hence, the breadth of the rectangle is (-5x-3).

Learn more about Rectangles:

https://brainly.com/question/10046743

What is the answer to 14v+6=2(5+7v)

Answers

Answer:

0=4

Step-by-step explanation:

14v+6=2(5+7v)

14v+6=10+14v

6=10

0=4

7.
Judy can decorate 3 cakes in 5 hours. Which graph has a slope that best represents the
number of cakes per hour Judy can decorate?
A
Cake Decorating
Cake Decorating
Number of Cakes
30
27
24
21
18
15
12
Number of Cakes
30
27
24
8 21
18
15
12
9
G
3
0 1 2 3 4 5 6 7 8 9 10
Time (hours)
0 1 2 3 4 5 6 7 8 9 10
Time (hours)
B
Cake Decorating
D
Cake Decorating
y
30
2
30
27
24
21
Number of Cakes
200
18
15
Number of Cakes
19

Answers

Answer:

B

Step-by-step explanation:

is the one that shows how many cakes were made in an hour

hour is 60 minutes so u will divide 60 by 3 it equal to 20

it means they make 20 cakes in 1hour

Is 2.8 greater than or less than 2.78? Pls answer

Answers

2.8 is greater than 2.78 :)


If you look in the tens place and compare the two numbers, you will see that 8 is greater than 7. That’s how you know that 2.8 is greater than 2.78
2.8 is greater than 2.78 because 2.8 would basically be 2.80 so you can just add 0 at the end cause that wouldn’t change anything. So 2.80 you can see is greater than 2.78 because .80 > .78
Hoped this helped!

5/8 62.5/100 as a ratio (simplified)

Answers

Answer:

5:8, 25:1

Step-by-step explanation:

i guess this is ans

which expression would be easier to simplify if you used the commutative property to change the order of the numbers​

Answers

Answer:

The answer is C

Step-by-step explanation:

if you get it right and you are the first one than i will give you all stars and thanks and a crown but if you are just right then only the stars and the thanks

Answers

Answer:

Periodic Table

Step-by-step explanation:

? that should be it.

y=3x-4 slope intercept form

Answers

Answer:the slope is 3 and the y intercept is -4

Step-by-step explanation:

During a guided tour of Sindrow Castle, a group of tourists climbed to the top of Fineview Tower.
At the top, the guide asked the six children in the group to guess how many steps they had
climbed. Their guesses were 155, 157, 167, 168, 179 and 183.
The guide revealed that the closest guess was only 3 more or less than the correct number and
that two of the other guesses were no more than 10 away.
How many steps had they climbed?
A 160
B 164
C 171
D 176

Answers

Answer:

C

Step-by-step explanation:

PLEASE ANSWER ASAP WITH SHOWN WORK FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
im so confused

Answers

Answer:

A) 216 in²

Step-by-step explanation:

2(1/2)(6)(4)=24

2x5x12=120

6x12=72

24+120+72=216

Hey guys can someone help me out?

Answers

Answer: yes with what

Step-by-step explanation:

State whether each pair of expressions are equivalent. Show your work.

4(5 + g) + 8(4g + 3 i NEED HELP

Answers

well solve them
4(5+g) + 8(4g+3)
=20 + g + 32g +3
=23 + 33g

Answer:

36g + 44

Step-by-step explanation

20+4g+8(4g+3) =

8(4g+3) : 32g + 24 =

20+4g+32g+24 =

20+4g+32g+24 = 36g + 44

I hope this helps you! Have a great day :)


[tex]18 - 4 \div {2}^{2} \times 10[/tex]
whats the answer​

Answers

The answer is 8
Order of operations:(Please Excuse My Dear Aunt Sally)
Parentheses
Exponents
Multiplication
Division
Add
Subtract
When it comes down to multiplication and division you do whichever comes first , left to right same with add and subtract so..
Step1: 2 squared = 4
Step2: 4/4=1
Step3: 1x10=10
18-10=8 . Final answer is 8

Select all the multiples of the number 3​

Answers

3
6
9
12
15
18
21
24
27
30
33
36
39
42
45

Subtract -4 and -11 with the help of number line. pls answer as soon as possible pls​

Answers

Answer:

7

Step-by-step explanation:

-4 - -11 = 7

remember negative + or - equals a positive same way with a positive + or - positive will give you a  positive.

Tonya has 39 packages. Each package weighs 6 pounds. Choose the best estimate of the total weight of the packages.

Answers

Step-by-step explanation:

If were estimating, 39 is pretty close to 40 and 40x6 is 240 pounds. if we are getting exact about it, then 234 pounds

Can someone help me with my homeworkkk

Answers

Answer:

1. they're vertical angles but the The missing angle is 140

2. there's no relationship being displayed because there's no image

3 theyre vertical angles

4 is 51

5 is 41

6 is 59

Step-by-step explanation:

All you need to do to find the missing angles is subtract from whatever. so the first one is a straight line so all you would do is 180-40 for the one that kind of looks like an x just know they're going to be the same angle when they're like that and for number four you can see it's a 90° angle so you subtract 90 - 39 so that you can get the answer that way

Help me solve this 9(n + 2) n = 1/4 the choices are A. 3 B. 9 C. 10 D. 19

Answers

Answer:

d

Step-by-step explanation:

How do you write 0.00000058 in scientific notation

Answers

Answer:

5.8 x 10^-7

Step-by-step explanation:

Answer:

5.8 * [tex]10^{-7}[/tex]

Step-by-step explanation:

Move the decimal so there is one n zero digit to the left of the decimal point. The number of decimal places you moved will be the exponent on the 10. If the decimal moves to the right, the exponent will be negative. If it moves to the left, the exponents will be positive.

You spin the spinner twice.
8
7
What is the probability of landing on an 8 and then landing on a 7?
Write your answer as a fraction or whole number.

Answers

two over four is the probability that you will land on seven or eight

Answer:

P( landing an an 8 then on  a 7 ) = 1/ 16

What is a Probability?

Its is the branch of mathematics concerning numerical description of how likely an event is to occur .

P( landing an an 8 then on  a 7 ) = P ( landing on an 8) * P ( landing on a 7 )

P(Landing on an 8) = 1/4

P(Landing on an 7) = 1/4

P = 1/4 * 1/4

P= 1 / 16

Learn more about Probability:

https://brainly.com/question/11234923?referrer=searchResults

#SPJ2

Over the summer, Teagan and Maya read a total of 36 books. Teagan reads three times as many books as Maya. How many books does each girl read?

Answers

maya read 9, teagan read 27

12 to the 3rd power divided by 12 to the 7th power ​

Answers

Answer:

0.000048..............

Answer:

0.00004822

Step-by-step explanation:

12^7= 35,831,808

12^3= 1728

A tissue box has a base of 36 in2 ? and is 5 inches tall. What is the volume of the tissue box?

Answers

Answer:

180 [tex]in^{2}[/tex]

Step-by-step explanation:

36 times 5 = 180

Answer: the value is 90

Step-by-step explanation:

Other Questions
A pyramid has a square base. The ratio of the base edge to the height of the pyramid is 2:9. If the base edge is 8 units, what is the volume of the pyramid? 1.) What is the equation given a slope of and a y-intercept of 4?2.) What is the slope of an equation y=2x-53.) What is the y-intercept of an equation y=7x+8? I need help. Plz help (b) A farmer uses of his land to plantcassava, of the remaining land to plantmaize and the rest vegetables. Ifvegetables cover an area of 10 arces, whatis the total area of the farmer's land. Aisha got a new job and will have to move. Her monthly income will be $5,265. To qualify to rent an apartment, Aishas monthly income must be at least three times as much as the rent. What is the highest rent Aisha will qualify for? 1. Lighting is one of the most important aspects of portrait photography. True False2. Posed portraits give you more control over the background and the person's position in the photograph. True False3. A camera's self-timer takes a picture after a certain amount of time has passed. True False(answer all if you can) plzz help with this math due today i will give you brainliest whoever answers correct first!! Which excerpt from "Mary Cassatt: Artist and Trailblazer" best supports the idea that Cassatt blazed a trail for future female artists?"Though women in her time had little freedom and few choices, she achieved her ambition to become a professional artist.""More than any other person, Mary Cassatt helped introduce Americans to the work of the Impressionists.""In Paris, Cassatt studied with successful artists. She carefully copied paintings in the Louvre.""Her teachers admired them so much that they encouraged her to try to get them displayed in the great annual art exhibition called the Salon." State the operation used to solve the following equation X -7 equals 15 6. Cynthia walks 6 miles at a rate of 2 milesper hour. How long will it take her toarrive at her destination? A unicycle wheel has a diameter of 12 inches. How many inches will the unicycletravel in 5 revolutions?Use n = 3.14 and round your answer to the nearest hundredth of an inch. What's the steps of the Unions Anaconda Plan? que es un plano cartesiano? Do any of you have a made-up pokemon? Give Me Name, Hight, Type, Category, And All of That Stuff. Name a law (any in History) that was passed by both Houses and signed by the President. [tex](5 - x)(x - 3)[/tex] HELP PLEASEE PLEASE PLEASE!! Its due by 10:20 !!A cone has a height that is greater than the diameter of the base of the cone.What is the shape of a cross section of the cone that contains the vertex of the cone and the diameter of the base?right triangleB.obtuse trianglescalene triangleDisosceles triangle Paul opens a savings account with $350. He saves $150 per month. After how many months will Paul have $2150 in the account? In the presence of oxygen, all cells synthesize ATP via the process of glycolysis. Many cells also can metabolize pyruvate if oxygen is not present, via the process of --