Which expression is a factor of 21 x2 + 13 x-20

Answers

Answer 1

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

I think this is the answer

Answer 2

Answer:

(7x−5)(3x+4)

Step-by-step explanation:

Step-1 : Multiply the coefficient of the first term by the constant   -21 • 20 = -420

Step-2 : Find two factors of  -420  whose sum equals the coefficient of the middle term, which is   13 .

     -420    +    1    =    -419

     -210    +    2    =    -208

     -140    +    3    =    -137

     -105    +    4    =    -101

     -84    +    5    =    -79

     -70    +    6    =    -64

     -60    +    7    =    -53

     -42    +    10    =    -32

     -35    +    12    =    -23

     -30    +    14    =    -16

     -28    +    15    =    -13

     -21    +    20    =    -1

     -20    +    21    =    1

     -15    +    28    =    13    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  28

                    -21x2 - 15x + 28x + 20

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

                   -3x • (7x+5)

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

                   4 • (7x+5)

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

                   (-3x+4)  •  (7x+5)


Related Questions

Please help I don’t know how to do this

Answers

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

ms. daring just finished a 7 mile run.
how long (in minutes) do you think it took ms. daring (she ran cross country in college even though she is more of a sprinter!)​

Answers

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

i need help on one of my work sheet questions.
At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90 on tickets. what is the domain of the relationship?

Answers

Step-by-step explanation:

there is your answers worked out step by step

Answer:

0 [tex]\leq[/tex] x [tex]\leq[/tex] 18

Step-by-step explanation:

#13, what is my answer ?

Answers

Step-by-step explanation:

don't tell no one but you should install math.way it help so much

Solve the system of equations by substitution.
X + y = 21
y = 6x

Answers

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18

You start hiking at an elevation that is 80 meters below base camp.


You increase your elevation by 42 meters. What is the new elevation


with respect to base camp?

Answers

Answer:

You are now 38 m below base camp.

Step-by-step explanation:

Consider the provided information.

You start hiking at an elevation that is 80 meters below base camp.

Now your initial location is 80 m below base camp, that can be represents as: -80

Now you increase your elevation by 42.

So you go up by 42.

In other words, you get the equation -80+42 = -38.

Since a negative value is below the base camp, this means that you are now 38 m below base camp.

Use the given information to write the equation of the line in slope-intercept form.
Slope -6
Y intercept (0,-9)

Answers

Slope intercept form: mx + b
m = slope, b = y intercept
Equation: y = -6x - 9

Find the area of each sector.

Answers

Answer:

d. 250π/3

Step-by-step explanation:

A = πr²

A = 3.14(10)² = 314.159

A = 314.159*(5/6) = 261.799

A = 261.799 = 250π/3

Answer:

D

Step-by-step explanation:

You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.

[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]

That above is your formula you need to remember for these equations.

Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.

The area of a circle is the formula: A = πr²

Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.

[tex]A=\pi10^2\\A=314.159[/tex]

Now lets solve for the missing variable (Sector Area).

[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]

I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.

Which of the following systems of inequalities has point D as a solution?​

Answers

Answer:

The answer is A

Step-by-step explanation:

At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.
Is your total savings on gas proportional to the number of beverages you purchase?

Yes Or No

Answers

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

Billy is on the cross-country team. His goal is to run on 2/3 of the days in September, which has 30 days. If Billy meets his goal, how many days will he run? Group of answer choices

Answers

Answer:

20

Step-by-step explanation:

30/3=10

10*2=20

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below SHOW
the number of feet that the top of the bridge was above the water versus the amount of minutes that the drawbridge
was open.
40
30+
Feet Above Water
20
10
1
2
3
Minutes
The city's engineer noticed that the bridge is not opening and closing at the same rate and wanted to determine the
rate of change over these intervals. Complete the table to determine the rate of change or the drawbridge (in feet per
minute) at each of the specified intervals.

Answers

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Write an equation for the graph
No mix numbers or decimals

Picture attached

Please help ASAP

Answers

Here’s some work with my answer- hope this helps

Question 7
1 pts
Mike purchased a car worth $18,000 in the year 2008. It loses its value by 6% per
year. What is the value of the car in 2020? Round your answer to the nearest whole
dollar, and do not enter any decimals or commas.
$
Need some help

Answers

Answer:

I'm pretty sure that'd be 8567

2X+20 and X+60 I have to solve for X

Answers

Answer:

x = 40

Step-by-step explanation:

I don't understand, but I think you mean 2x + 20 = x + 60

So that's what I'm going to solve for if that's wrong tell me what you mean.

2x + 20 = x + 60 (subtract 20 on both sides)

2x = x + 40 (subtract x on both sides)

x = 40

HOPE THIS HELPS!

IF YOU HAVE A QUESTION ABOUT THIS COMMENT.

Answer:

x = 26.6

Step-by-step explanation:

1. 2x+20+x+60

2. Combine like factors (x' s, and 20+60)

3. 3x+80

4. divide 80 from 3 (80/3)

5. 26.6

Simplify 12x-24 into simplest form

Answers

Factor out 12
12(x-2)

which of the following is the slope intercept form of the equation of this line

Answers

Answer:

The slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

(1, -1)(-1, 1)

Finding the slope between two points

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

[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]

[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]

[tex]m=-1[/tex]

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

m=slope b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

[tex]y=mx+b[/tex]

[tex]y=(-1)x+0[/tex]

[tex]y=-x[/tex]

Thus, the slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

15 + 4x = 12 + x nm jjk kj k j jk kj k kj kjkj

Answers

Answer:

x = −1

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

Original Equation:

15 + 4x = 12 + x

Subtract x from both sides

15 + 3x = 12

Subtract 15 from both sides

3x = -3

Divide both sides by 3

x = -1

Hope this helps :)

Please consider Brainliest :)

PLS HELP ASAP, ILL MARK BRAINLIEST IF ITS A REAL ANSWER. LOOK AT THE PICTURE.

Answers

Answer:

#1 yes #2

Step-by-step explanation:

I added comments on why it is correct

PLEASE HELPP!! (10 points)

Answers

Answer:

Gertrude, Bart, Hermione, Jojo

Step-by-step explanation:

Ok to start of lets identify the money in each bank account

I will not be using names to make this simpler.

Student A: $-100.54

Student B: $95.88

Student C: $50.00

Student D: $-120.37

Lets pretend that were not talking about money to help you understand this.

So just from glancing at this you'd think -120.37 would be the most because its the largest number correct?

Well you have to include the negative sign. The negative sign shows that this number is below 0.

Lets take a look at the other negative number.

-100.54

Greater or less than -120.37?

-100.54 is actually greater than -120.37

Why?

On a number line, the negative side, your counting back from 0. So the farther away you are from 0 for negatives, the less that number is.

So -120.37 would be the least and -100.54 would be the second least.

The greatest would be 95.88 because its greater than 50.

So the order would be 95.88, 50, -100.54, then -120.37

Just find which students that goes with and your done!

If you ever need more help don't be afraid to reach out and I hope that helps!

Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.
x + y = 6. 15 x + 28 y = 116.
x + y = 6. 28 x + 15 y = 116.
x + y = 116. 15 x + 28 y = 6.
x + y = 116. 28 x + 15 y = 6.
Mark this and return

Answers

Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

rewrite as as whole number 40/5

Answers

Answer:

8

Step-by-step explanation:

Just do 40 divided by 5.

If f(x) = -3x + 5, find f(6.4).

Answers

Answer:

-14.2

Step-by-step explanation:

f(x)=-3x+5 Write original equation

f(6.4)=-3(6.4)+5 Substitute 6.4 in for x.

=-14.2 Solve

Andrew buys 8 pounds of apples for $11.60. He wants to know and use the unit rate of the cost per pound.

True or False: Two pounds of apples cost more than $3.

Answers

Answer:true

Step-by-step explanation:

this is extra credit . solve for X

Answers

Answer:

x = - 15

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180, that is

35 - 5 - 8x - 2x = 180 ( simplify left side )

30 - 10x = 180 ( subtract 30 from both sides )

- 10x = 150 ( divide both sides by - 10 )

x = - 15


The original price of a marker is $5.00 What will the new price be after a
15% increase ? *

Answers

Answer:

5.75

Step-by-step explanation:

for a 15% increase, you multiply 5.00 x 1.15. you then get 5.75. hope this helps!

Answer:$5.75

Step-by-step explanation:

please help me
I don't answer this
I'll give brilliance​

Answers

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

2 :) hope this helps

there are 11 kids at a birthday party if there are six girls and five boys at the party which fraction of the kids are boys

Answers

11 kids total and there’s 6 girls and 5 boys so that means there’s 5/11 boys and for girls it’s 6/11

help asap will make brainlest

Answers

Answer:

C

Step-by-step explanation:

Slope of first equation: -1/2; y-int: -1

Slope of second equation: 1/4; y-int: -4

Answer:

C:

y=  -1/2x -1

y=  1/4x -4

Step-by-step explanation:

Quick maths

After getting her close friends to follower her, she starts posting pictures her outfit each morning and gaining new followers. Her total number of followers is given by the functionF(p)=5p+8 where p
is the number of posts she's made. Based on this function, Okoye gains followers for every post she makes. After posting 10 times, she will have followers?

Answers

Answer:

58

Step-by-step explanation:

Replace the p in the function with 10. 5(10) + 8 = 58

Other Questions
plsss help will mark BRAINLIEST What is industry (or industrialization)? HELP PLEASEEEEEEEE!!!!!!! please help this makes no sense to me!! HELP ASAP TEST IS TIMED! The body's ability to perform natural movements in daily life e.g. squat, pushing, pulling1. Dynamic2. Functional training 3. Anerobic4. Aerobic Determined which equation is balanced or unbalanced. The original price of a marker is $5.00 What will the new price be after a15% increase ? * Billy is on the cross-country team. His goal is to run on 2/3 of the days in September, which has 30 days. If Billy meets his goal, how many days will he run? Group of answer choices PLEASE HELPP!! (10 points) Help I need the answer as soon as possible rewrite as as whole number 40/5 Denise bought 116 ounces of beans for a bean dip. She bought both 15-ounce cans and 28-ounce cans, and the total number of cans she bought was 6. Which of these systems of equations can be used to determine the number of 15-ounce cans and the number of 28-ounce cans that she bought? Assume x represents the number of 15-ounce cans and y represents the number of 28-ounce cans.x + y = 6. 15 x + 28 y = 116.x + y = 6. 28 x + 15 y = 116.x + y = 116. 15 x + 28 y = 6.x + y = 116. 28 x + 15 y = 6.Mark this and return A contributing factor that led to initialConfederate victories wasA) superior leadership from Northern Generals.B) the South's larger food supply.C) superior leadership from Southern Generals.D) the effectives of the Northern Naval blockade. Who proposed the Anaconda Plan?What was the Anaconda Plan? Why were other Union generals opposed to the Anaconda Plan?What were the two main objectives of the Anaconda Plan?What was the purpose of the blockade?Why did the North want to control the Mississippi River? In your opinion, was the Anaconda Plan an effective military strategy? #13, what is my answer ? this is due in a few hours can yall help me PLZ HELP WILL GIVE BRAINLIEST Mitosis is responsible for creating what cells in organisms?Group of answer choicesAll cells in sexually reproducing plantsOnly skin and hair cellsAll cells, except sex cellsOnly sex cells, known as gametes At the gas station, each liter of gas costs \$3$3dollar sign, 3, but there's a promotion that for every beverage you purchase you save \$0.20$0.20dollar sign, 0, point, 20 on gas.Is your total savings on gas proportional to the number of beverages you purchase?Yes Or No Use the given information to write the equation of the line in slope-intercept form. Slope -6Y intercept (0,-9) Help please! Im trying to catch up on my school work:)