Rewrite y = x2 + x - 20 in factorized form.

Answers

Answer 1

Answer:

y = x2 + x - 20 factors into

y = (x +5) * (x -4)

Step-by-step explanation:

Answer 2

Answer:

y = (x + 5)(x - 4)

Step-by-step explanation:

Given

y = x² + x - 20

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)

The factors are + 5 and - 4, since

5 × - 4 = - 20 and 5 - 4 = + 1, thus

x² + x - 20 = (x + 5)(x - 4)


Related Questions

Combine the Expression:(10x - 4) + (-7 + x)

Answers

Answer:

11x-11

Step-by-step explanation:

(10x-4)+(-7+x)

10x-4-7+x

11x-11

Answer:

11x-11

Step-by-step explanation:

10x+x=11x

-4+(-7)=-11

11x-11

if this is right a brainliest would be very appreciated!

PLEASE HELP WILL GIVE BRAINLIEST What is the sign of 4ab when a>0 and b<0
a. Positive
b. Negative
c. Zero

Answers

Answer: b

Step-by-step explanation:

4ab

[tex]a>0[/tex] a will always be positive.

[tex]b<0[/tex] b will always be negative.

4(a)(-b)

-4ab

Answer:

the answer is A

Step-by-step explanation:

khan said so

Find the volume of the following solid figure. Use = 3.14.
V = 4/31tr3. A sphere has a radius of 4.5 inches.
Volume (to the nearest tenth) =
cubic inches.
381.5
56.5
84.8

Answers

381.5 because it is......

Describe the pattern of the number sequence 1, 9, 17, 25, 33, .... by using algebraic expressions

Answers

Answer:

8n + 1, where n is a whole number greater than or equal to 0.

Step-by-step explanation:

Every number on this list is one more than a multiple of 8, so if n is a whole number great than or equal to 0, the expression 8n describes every multiple of 8, and 8n + 1 describes every number one more than a multiple of 8.

The sequence is an arithmetic sequence.

The pattern is 1 + (n - 1)8.

What is an arithmetic sequence?

It is a sequence where the difference between each consecutive term is the same.

Example:

2, 4, 6, 8 is an arithmetic sequence.

We have,

1, 9, 17, 25, 33,....

This is an arithmetic sequence.

The first term is 1.

a = 1

The common difference is 8.

d = 8

i.e

9 - 1 = 8

17 - 9 = 8

25 - 17 = 8

The nth term of an arithmetic sequence.

= a + (n -1)d

= 1 + (n - 1)8

Thus,

The pattern of the sequence is 1 + (n - 1)8.

Where n is the term of the number.

Learn more about arithmetic sequence here:

https://brainly.com/question/10396151

#SPJ2

A certain radioactive isotope decays at a rate of 2% per 100 years. If t represents the amount of the isotope left then the equation for the situation is

Answers

Answer:

y=y0e^-0.0002t

Step-by-step explanation:

A certain isotope decays at a rate of 2%per 100 years. If t represent the time in years and y represent the amount of the isotope left then the equation for the situation is y=y0e^-0.0002t . In how many years will there be 86% of the isotope left?
.
Let x = initial amount
then our formula is
.86x = xe^(-0.0002t)
.
Notice, if we divide both sides by x, we eliminate our unknown:
.86 = e^(-0.0002t)
Solving for x, we take the ln of both sides:
ln(.86) = -0.0002t
ln(.86)/(-0.0002) = t
754.114 years = t

Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution

Answers

Answer:

C. x = 5, y = -2

Step-by-step explanation:

I graphed the equations on the graph below.

If this answer is correct, please make me Brainliest!

PLEASE HELP IM DUMB AND I NED THIS ASAP

Answers

Width (7.8) x length (7.8) x width (7.8) = 474.552

Find the least number which must be added to each of the following numbers to make them a perfect square. Also find the square root of the perfect square number so obtained: a) 5678

Answers

Answer:2

Step-by-step explanation:22*

Answer:

5 = 25 = 5

6 = 36 = 6

7 = NA

8 = 81 = 9

PLS HELP....I WILL GIVE YOU BRAINLIEST!!!!!!!!!!
Express as a percent:
1/6:
1/3:
2/3:
5/6:

Answers

Look at the attached picture

Hope it will help you

Good luck on your assignment

Olga decided to purchase a $22,000 MSRP vehicle at a 4.5% interest rate for 4
years. The dealership offered her a $2500 cash-back incentive, which she
accepted. Taking all these factors into consideration, what monthly payment
amount can she expect?

Answers

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.

Answers

Answer:

There needs to be a graph.

Step-by-step explanation:

The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.

What is proportionality?

We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.

From the table, we need to find the rate of change between two given hours and the miles traveled at that time.

Now,

Between 1 hour and 2 hours.

The rate of change.

= (26 - 12) / (2 -1)

= 14 / 1

= 14

Between 2 hours and 3 hours.

The rate of change.

= (30 - 26) / (3 - 2)

= 4 / 1

= 4

Between 3 hours and 4 hours.

The rate of change.

= (48 - 30) / (4 - 3)

= 18 / 1

= 18

Since,

The rate of change is not the same for all the cases so,

Hence, the relationship between hours biked, and the miles traveled is not proportional.

Learn more about proportionality here:

https://brainly.com/question/29126727

#SPJ3

Calculate the following percent using fraction equivalents. 50% of 64

Answers

Answer:

Step-by-step explanation:

50% is [tex]\frac{50}{100}[/tex] but we're working with 64 units, not 100. So, we must find a number that represents 50 but in 64 units.

[tex]\frac{50}{100}=\frac{x}{64}[/tex]

If you solve for x, you get:

[tex]x=\frac{50*64}{100}\\ x=32[/tex]

[tex]\frac{50}{100}=\frac{32}{64}[/tex]

A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?

A. m/8
b. m-8
c. 8m
d. 8÷m

Answers

Answer:A Idk if this is right!

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Answers

WHERE ARE THE FOLLOWING?

Answer:

C. The data value must be less than the mean

Step-by-step explanation:

Took the quiz on edge:)

What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x

Answers

Answer:

d. 2x^2-8x

Step-by-step explanation:

ure just doing distributive property.

The product of 2x(x-4) is 2x² - 8x

HOW TO OPEN BRACKET?

In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.

According to this question, we are given the following expression: 2x(x-4)

This means that 2x multiples x and -4 independently.

That is; 2x × x and 2x × -4

2x² - 8x

Therefore, the product of 2x(x-4) is 2x² - 8x.

Learn more about factorization at: https://brainly.com/question/6810544

I NEED HELPPPPP!!!! PLZZZ

Answers

Answer:

13.5

Step-by-step explanation:

Two cars are 270 miles apart and traveling toward each other on the same road. They meet in 3 hours. One car is traveling 6 mph faster than the other. What is the speed of each car?

Answers

Answer:

42

Step-by-step explanation:

3(x+x+6)=270

3(2x+6)=270

6x+18=270

6x=252

x=42

PLEASEEE HELP

Which table represents a linear function

Answers

The one on the bottom left represents a linear function

PLSSSS help
Marking BRainlist

Answers

Answer: x = 14 for the first one, x = 4 for the second

Step-by-step explanation:

8x - 9 = 7x + 5

subtract 7x from both sides

x - 9 = 5

add 9 to both sides

x = 14

8x + 9 = 3x + 29

subtract 3x from both sides

5x + 9 = 29

subtract 9 from both sides

5x = 20

divide both sides by 5

x = 4

the first one is

x = 14

the second one is

x = 4

Use the law of sines to find the length of side c.
C
be
41.59
37
42°
А
С
CD
O A. 36.64
B. 54.94
C. 37
37 36

Answers

Without the calculator let's just estimate that .5/42 = 1.2% change in the angle; we reduce the length a=37 by 1.2% to get 37×.988=36.556.  That's probably good enough to choose A.

Let's do it the way they want.

[tex]\dfrac{\sin C}{c} = \dfrac{\sin A}{a}[/tex]

[tex]c = \dfrac{a \sin C}{\sin A} = \dfrac{37 \sin 41.5}{\sin 42} = 36.6400[/tex]

Answer: A

Estimate worked.  Sine is approximately linear when the range is small enough.    

Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution

Answers

Answer:

y ≥ 3x

Possible solution:  x=1, y=3

Step-by-step explanation:

Since Henry has atleast 3 times as much money as Deb

y=3x

y must always be greater than or equal to 3x

if x=1 y=3


The number of points Emerson scored in 5 basketball games is 10, 8, 9, 8,
and 30. Why might it be misleading to Emerson to say that she averages 13
points per game? *

Answers

Answer:

because she usually gets lower scores but her avarge is 13 because she make 30 in one game witch is an outlire

Step-by-step explanation:

if im wrong im sorry if not pls brainlyest

omg please help meee fastttt​

Answers

Answer:

Jill will make less money if they both work 3 hours

Step-by-step explanation:

Trust me. I hope this helps :)

The last option(D)

please help me!!!!!!!!!!​

Answers

Answer:

(1,4)

(2,6)

(3,8)

(4,10)

(5,12)

Step-by-step explanation:

Please help ;-;, I really need it-

Answers

Answer:

See below

Step-by-step explanation:

For a more detailed explanation, take a look at PDF below;

Surface Area of First Figure; 544 in^2,

Surface Area of Second Figure; 276 ft^2,

Surface Area of Third Figure; 1240 yd^2

Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2

Answers

Answer:

35 cm2

Step-by-step explanation:

Answer:

The area of the trapezoid would be 30 cm squared.

Step-by-step explanation:

The table shows the relationship between the number of minutes that a hose
has been on and the number of gallons of water that have been added to a
plastic pool. Which statement is true?
0
5
10
15
20
Minutes Hose
On
Gallons of
Water in Pool
0
80
120
160
»
» The relationship is additive because
the number of minutes can be found
by adding 5 to the number of gallons.
The relationship is additive because
the number of gallons can be found by
adding 5 to the number of minutes.
»
The relationship is multiplicative
because the number of gallons can be
found by multiplying the number of
minutes by 8.
The relationship is multiplicative
because the number of minutes can
be found by multiplying the number of
gallons by 8.​

Answers

Answer:

(C)The relationship is multiplicative  because the number of gallons can be

found by multiplying the number of  minutes by 8.

Step-by-step explanation:

Given the table below which shows the relationship between the number of minutes that a hose  has been on and the number of gallons of water that have been added to a  plastic pool.

[tex]\left|\begin{array}{c|c}$Minutes Hose On&$Gallons of Water in Pool\\-------&-------\\0&0\\5&40\\10&80\\15&120\\20&160\end{array}\right|[/tex]

We can see that if we multiply the first column by 8, we will obtain the second column. Therefore the relationship is multiplicative because the number of gallons can be  found by multiplying the number of  minutes by 8.

The correct option is C.

Please help me I have to go to a class and I need this fast

Answers

Answer:

5) Mode = 63          6) Mode = 74        

   Range = 70             Median = 74

   Median = 63           Range = 57

   Mean =  58.75        Mean = 68.7

Step-by-step explanation:

Five more than a certain number is 11 less than double the number

Answers

Answer:

The number is 16

Step-by-step explanation:

Five more than a certain number is 11 less than double the number

x+5 = 2x-11

11+5 = 2x-x

16 = x

9 is five more than 4 and (2x9=18) 18 is 11 less than 9

MULTIPLE CHOICE:

A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3

Answers

Answer:

C

Step-by-step explanation:

The first term -2 is also -B; therefore A and B can be eliminated.

-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated

Other Questions
evaluate the extent to which the institution of slavery changed in the period from 1754 to 1850? n the Month of March, Chester Corporation received orders of 180 units at a price of $15.00 for their product Cid. Chester uses the accrual method of accounting and offers 30 day credit terms. Chester delivers 120 units in March and the balance of 60 units in April. They received payment for 60 units in March, 60 units in April, and 60 units in May. How much revenue is recognized on the March income statement from this order? How much in the April Income statement? (Answer in thousands) What is the goal of humanity? 4. Why did Frederick Douglass help the Union cause in the Civil War? A regular deck of cards has 52 cards with 4 aces. Carl asked a friend to pick a card from the deck three times, replacing the card each time. His friend picked three aces. Which expression will give the probability of that event?(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction) (StartFraction 4 over 52 EndFraction)(StartFraction 1 over 52 EndFraction) (StartFraction 1 over 51 EndFraction) (StartFraction 1 over 50 EndFraction)(StartFraction 4 over 52 EndFraction) (StartFraction 4 over 51 EndFraction) (StartFraction 4 over 50 EndFraction)(StartFraction 4 over 52 EndFraction) (StartFraction 3 over 51 EndFraction) (StartFraction 2 over 50 EndFraction) Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi A. 28.26 B. 56.52 C. 63.58 D. 14.13 Question 7 of 102 PointsIn the diagram below, BD is parallel to . What is the value of y? What do you have to know before you can round a number Yo uso ________________ para comunicarme. los discos el abrir la carpeta el correo electrnico A domestic manufacturer of watches purchases quartz crystals from a Swiss firm. The crystals are shipped in lots of . The acceptance sampling procedure uses randomly selected crystals. a. Construct operating characteristic curves for acceptance criteria of , , and (to 4 decimals). b. If is and , what are the producer's and consumer's risks for each sampling plan in part (a) (to 4 decimals)? c At Producer's Risk At Consumer's Risk The plantation system in the South drove away ___.- Quakers- Poor white farmers- Catholics- All answers are correct. What is the slope of the line graphed in the picture Which type of force is the one of the greatest enemies of athletes in the Olympic Winter Games? In what other situations does this force exist outside of the world of sports? Write a paragraph that is about 100 words long. Why are offshore wind farms more suitable than those situated on land?O A. The oceans offer more open space to set up wind farms.OB. The winds from the ocean are cooler than those blowing over land.OC. Wind speeds over the ocean are higher than those over land.D.There is more wind over the oceans than there is over land.E. Moisture-laden winds from the ocean are more suited than dry winds that blow over land.ResetNext How many electrons with chlorine (Cl) in group 17 gain to become stable? NEED HELPPP PLSSSSSSSSSS The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the contract specifications, 5 percent of the items shipped can be defective. If the inspectors find 1 or fewer defects in the sample of 10, they ship the batch without further inspection. If they find 2 or more, the entire batch is inspected. (A) Based on this sampling plan, the probability that a batch that meets the contract requirements will be shipped without further inspection is approximately___________. The immunity rate is the ____________ variable. The number of people affected by the disease is the ___________ variable. 1+4=52+5=123+6=218+11=? The percentage of the US labor force that is unemployed is known as the __________.A.consumer price indexB.gross domestic productC.national unemployment rateD.annual percentage changePlease select the best answer from the choices providedABCD