21.Factorize : x² +10x+21
22.Factorize: x² -2x-35
23.Solve : 2x+28 = 9x-56​

Answers

Answer 1

Step-by-step explanation:

21.

x²+10x+21x²+3x+7x+21x(x+3)+7(x+3)(x+3)(x+7)

22.

x²-2x-35x²-5x+7x-35x(x-5)+7(x-5)(x-5)(x+7)

23.

2x+28=9x-5628+56=9x-2x84=7xx=84/7x=12

hope it helps

stay safe healthy and happy..
Answer 2

Answer:

21. (x+7)(x+3)

22. (x-7)(x+3)

23. 12

Step-by-step explanation:

X^2+10x+21

(X+7)(x+3)

(We know that 7*3 is equal to 21 and that 7+3= 10)

Now try the same thing for 22.

(X-7)(X+5)

(-7*5= -35 . and -7+5=-2)

23. Use SPOE to get like terms to one side:

-7x=-84

Then use DPOE to find the value of X

x=12


Related Questions

Kala drove 819 miles in 13 hours.
At the same rate, how long would it take her to drive 441 miles?

Answers

Answer:

[tex]{ \tt{ \frac{819}{13} = \frac{441}{h} }} \\ { \tt{h = \frac{(441 \times 13)}{819} }} \\ h = 7 \: hours[/tex]

What is the median of the following set of values? 7, 21, 19, 15, 19, 14, 15, 19

Answers

Line them up in order first.
7, 14, 15, 15, 19, 19, 19, 21
The median is 15 and 19. OR 17, because 15+19=34/2 which equals 17.

The median of the following set of values is equals to 17.

What are median?

Median represents the middle value of the given data when arranged in a particular order. The mean is the average value which can be calculated by dividing the sum of observations by the number of observations

We are given that the median of the following set of values

7, 21, 19, 15, 19, 14, 15, 19

Line them up in order first.

7, 14, 15, 15, 19, 19, 19, 21

Here the middle value are 15 and 19.

The median is 15 and 19. OR 17,

Therefore, 15 + 19 = 34/2 which equals to 17.

Learn more about mean and median;

https://brainly.com/question/17060266

#SPJ2

)
Gos
1. Select all the relations that represent a
function.
(3,2), (2,1), (3,9) (4,7)
(1,7), (2,2), (3,5) (4,8)
(2,6), (6,5), (3,2) (5,3)
(4,3), (3,3), (2,3) (1,3)
(2,2), (2,5), (2,1) (2,3)

Answers

Answer:

(1,7), (2,2), (3,5) (4,8)

(2,6), (6,5), (3,2) (5,3)

(4,3), (3,3), (2,3) (1,3)

Step-by-step explanation:

those represent functions b/c the domain of the relation is not written twice

Hope that'll help!


What is the value of the expression [-7] + [-4]

Answers

Answer:

11

Step-by-step explanation:

I'm assuming that [.] fldenote absolute value even tho the absolute value function is represented by (|.|)

value of [-7] will be positive that us 7.

= 7 + 4

= 11

so instead of subtracting that you added so it would be 11 because two negatives make a positive

A manufacturer inspects a sample of 500 smart phones and finds that 496 of them have no defects. The manufacturer sent a shipment of 2000 smartphones to a distributor. Predict the number of smartphones in the shipment that are likely to have no dects.

Answers

Answer:

1984

Step-by-step explanation:

How many different committees can be formed from 12 teachers and 43 students if the committee consists of 3 teachers and 4 ​students?
The committee of 7 members can be selected in BLANK
different ways.

Answers

Answer:

27150200

Step-by-step explanation:

Combination of 3 teachers out of 12:

12C3 = 12!/9!3! = 10*11*12/2*3 = 220

Combination of 4 students out of 43:

43C4 = 43!/39!4! = 40*41*42*43/2*3*4 = 123410

Total combinations:

220*123410 = 27150200

Michael wants to buy some new exercise equipment for his home gym for 372,000 financial at an annual interest rate of 12% using the add on method. If michael wants to pay off the loan in 2 years. What will be his monthly payment?​

Answers

Step-by-step explanation:

the answer of this question will be 88,800

Answer:

Step-by-step explanation:

g Vectors ???? and ???? are sides of an equilateral triangle whose sides have length 4. Compute ????⋅????. (Give your solution as a number to one decimal place.

Answers

Answer:

[tex]v \cdot w = 8.0[/tex]

Step-by-step explanation:

See comment for complete question

Given

[tex]|v| = |w| = 4[/tex] --- the side lengths

Required

[tex]v \cdot w[/tex]

[tex]v \cdot w = |v| \cdot |w| \cdot (cos\theta)[/tex]

From the question, we understand that v and w are sides of an equilateral triangle.

This means that:

[tex]\theta = 60^o[/tex] --- angles in an equilateral triangle

So:

[tex]v \cdot w = |v| \cdot |w| \cdot (\cos 60)[/tex]

So, we have:

[tex]v \cdot w = 4 * 4 * 0.5[/tex]

[tex]v \cdot w = 8.0[/tex]

HELP PLEASE!!!
Can someone tell me what a constant of proportionality is?
Please add an example if you can!
Thanks!

Answers

Answer:

A number or number sentence that doesn't change

Step-by-step explanation:

Answer:

the constant of proportionality k, is the constant value of the ratio of two proportional quantities y and x

Step-by-step explanation:

k = y/x or y= kx

example : the cost of 20 books is rs. 180 how much will 15 books cost ?

a. rs. 125

b. rs. 130

c. rs. 135

d. rs. 140

answer is c. rs. 135

Find the range of the data set represented by this box plot.



25
70
20
60

Answers

Answer:

D. 60

Step-by-step explanation:

Range is the difference between the maximum value and the minimum value.

The minimum value is at the extreme end of the whisker of the box plot to your left = 65

The maximum value is at the extreme end of the whisker of the box plot to your right = 125

Range = 125 - 65 = 60

Figure A
Figure B
Figure C
3 ft
3 ft
Sf
3 ft
3 ft
5 ft
5 ft
3 ft
3 ft
Sft
3 ft
3 ft
Х
?.
None of the figures
(a) Which figures are rectangles?
Mark all that apply.
Figure A Figure B Figure C
(b) Which figures are squares?
Mark all that apply.
Figure A Figure B Figure C
(c) Which figures are parallelograms?
Mark all that apply.
Figure A
Figure B
Figure C
None of the figures
None of the figures

Answers

Answer:

a) Figure B and Figure C

b) Figure C

c) Figure A, Figure B, and Figure C

Step-by-step explanation:

a) Rectangles are shapes that have four sides, and four right angels. Right angles are angles that are 90 degrees.

The only shapes with four sides AND four right angles are Figure C and Figure B.

b) Squares are shapes with four EQUAL sides and four right angles. The only shape with four equal sides and four right angles is Figure C.

c) Parallelograms are any shapes with four sides. All of these shapes have four sides.

Hope this helps!


Jen recently rode her bicycle to visit her friend who lives 6 miles away. On her way there, her average speed was & miles per hour faster than on her way home. If jen
spent a total of 2 hours bicycling find the two rates.

Answers

Answer:

(1) +t+=+1.2+ hrs

Step-by-step explanation:

in the figure JKLM ~ EFGH. complete the following table.

Answers

Answer:

scale factor 5:2

x= 27.5

y=12

z=7.5

Step-by-step explanation:

I only need the odd numbers answered

Answers

Answer:

1.a+4=11

a=7

2.6=g+8

g=2

3.

?

4.k+8=3

k=-5

5.j+0=9

j=9

6.12+y=15

y=3

7.h-4=0

h=4

8.m-7=1

m=8

9.w+5=4

w=-2

10.b-28=33

b=61

11.45+f=48

f=3

12.n+7.1=8.6

n=1.5

Hope This Helps!!!

mrs cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own. she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door . how many quarts does she have in all of her own .

Answers

Answer:

Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.

Step-by-step explanation:

Since Mrs. Cabrini needs 2 quarts of tomato sauce to make a large batch of her spaghetti sauce. she has 1 1/4 quarts of her own, and she borrows 1/2 quart from the neighbor across the hall and 3/8 quart from the neighbor next door, to determine how many quarts does she have in all of her own must perform the following calculation:

1/4 = 0.25

1/2 = 0.5

3/8 = 0.375

0.25 + 0.5 + 0.375 = X

1.125 = X

1 + 1,125 = 2,125

Therefore, Mrs. Cabrini has a total of 2 1/8 quarts of tomato sauce.

Test scores for a Statistics class have a mean of 78 with a standard deviation of 6. Suppose a student gets an 81 on that test. What is the z-score for that grade?

Answers

Answer:

0.3209

in case you dont know  A z-score tells you if the distribution it comes from is normal.

Step-by-step explanation:

Which operation must you use to find the water temperature after the submarine’s final dive? Which word or words in the problem signify this operation?

Answers

Answer:

the temperature drops 2 degrees F

Step-by-step explanation:

Answer:

The problem states that the temperature drops 2 degrees F.  The word drops signifies that I should subtract 2 1/5 degrees F from 63 1/4 F.

Step-by-step explanation:

a student estimates the length of a room to be 20 feet. The actual length is 20.25 feet. What is the percent error?

Answers

Answer:

Percent error=1.23%

Step-by-step explanation:

We are given that

Estimate length of room=20 feet

Actual length of room=20.25 feet

We have to find the percent error.

To find the percent error we will find the difference between the estimate length and actual length of room.

Difference=Actual length of room-Estimate length of room

Difference=20.25-20

Difference=0.25 feet

Now,

Percent error=[tex]\frac{Difference}{actual\;length}\times 100[/tex]

Percent error=[tex]\frac{0.25}{20.25}\times 100[/tex]

Percent error=1.23%

.It is 12:00 and people are lining up for the matinee at the Bijou Cinema Six. In the first five minutes (12:05), 6 people get into line. At the end of the second five minutes (12:10), there are 11 people in line. At the end of the third five minutes (12:15) there are 16 people in line. If the people keep lining up at this rate, what time will it be when there are 81 people in line?

Answers

Answer:

65 minutes

Step-by-step explanation:

already 16 people in line

total is 81

81 - 16 equals 65

about 5 people every 5 minutes (basically 1 min per person)

so, answer probably 65

Nikola thinks that the model that reflects the growth of smartphones shipped from manufacturers to stores around the world may be logistic rather than exponential. Do you agree with Nikola

Answers

Answer:

When most people have a smartphone, that is, the variable starts getting closer to its capacity, the demand will start to have a slight decrease, until it stabilizes, so yes, Nikola is correct.

Step-by-step explanation:

Exponential model:

The variable keeps growing consistently, at a fixed rate.

Logistic model:

The variable starts growing, but as it approaches a limit, for example, the carry capacity of an environment, the growth rate starts to decrease, until the variable stabilizes at a fixed value.

Growth of smartphones shipped from manufacturers to stores around the world.

When most people have a smartphone, that is, the variable starts getting closer to its capacity, the demand will start to have a slight decrease, until it stabilizes, so yes, Nikola is correct.

Which expression is equivalent to the difference shown?

Answers

Answer:

Option A. -1/20x

Step-by-step explanation:

[tex] \frac{5x + 1}{5x} - \frac{4x + 1}{4x} [/tex]

[tex] = \frac{20x + 4x - 20x - 5x}{20x^{2} } [/tex]

[tex] = \frac{ - x}{20x^{2} } [/tex]

[tex] - \frac{1}{20x} [/tex]

Answered by GAUTHMATH

HELP ME PLEASE ASAP! So the answer for the question I got is 113.1. Is my answer correct or is it wrong? Please let me know how to solve this problem if the answer is wrong. Thank you for your time.

Answers

Answer: 113.01m - You are almost right

Step-by-step explanation:

Simply by using pir^2, you get the number you calculated, but it is asking for at least 2 decimal places. So it would be "113.01"

3.
If 9x = 27, what is the value of x?

Answers

9x = 27
Divide both sides by 9.
x = 3

Therefore, the value of x is 3.

answer quick it's urgent

Expand : (5xy+7)(5xy-7)

Answers

Answer:

[tex](5xy + 7)(5xy-7) = 25x^2 y^2 - 49[/tex]

Step-by-step explanation:

[tex](a - b)(a +b ) = a^2 - b^2 \\\\From \ given \ expression \ a = 5xy \ , \ b = 7\\\\Therefore , (5xy + 7 )(5xy - 7 ) = ( 5xy)^2 - ( 7)^2 \\[/tex]

                                             [tex]= 25x^2 y^2 - 49[/tex]

Answer:

25x²y² - 49

Step-by-step explanation:

We can do this by using the a+b formula:

(a+b)(a-b)= a² - b²

So,

(5xy+7)(5xy-7)

=(5xy)² - 7²

= 25x²y² - 49

Another way we can do this by expanding the algebraic expression:

(5xy+7)(5xy-7)

= 5xy(5xy-7) + 7(5xy-7)

= 25x²y² - 35xy + 35xy - 49

= 25x²y²- 49

GED Academy Practice Test
What is the value of the expression?
4+(-2)
-3+3

Answers

Answer:

The first one is 2

The second one is 0

I hope this helps!

Answer:

First:

[tex]{ \tt{ = 4 + ( - 2)}} \\ = 4 - 2 \\ = 2[/tex]

Second:

[tex] - 3 + 3 \\ = 0[/tex]

Ask a question about your assignment

Answers

Answer:

Which video in YT has most number of views

Answer:

Step-by-step explanation:

Which statement explains how to correct the error that was made?
The subtraction property of equality should have been applied to move m to the other side of the equation.
The multiplication property of equality should have been applied before the division property of equality.
The division property of equality should have been applied to move the fraction to the other side of the equation.
O The square root property should have been applied to both complete sides of the equation instead of to select
variables.

Answers

Answer:

The square root property should have been applied to both complete sides of the equation instead of to select

variables.

PLEASE HELP ASAP! What is the value of x in the inequality start fraction seven plus two x over five end fraction minus three less than x ?

A. x greater than negative start fraction eight over three end fraction
B. x less than negative start fraction eight over three end fraction
C. x greater than start fraction eight over three end fraction
D. x less than negative start fraction three over eight end fraction

Answers

Answer:

A

Step-by-step explanation:

the first one in the picture

ANSWER ASAPPPP PLS



Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6

Answers

Answer:

I'm going to help you figure this out because I am actually on the same assignment. If you do not understand what it is asking, it is not asking you to break down the function notation, it is simply asking you to substitute (X) with 2,3,4,5,and 6 and then to solve it on each line

Monique made several batches of soup.
Each batch required 3/4 of a pound of potatoes. She used a total of 6 1/2 pounds. How many batches did she make?

Answers

Answer:

8 batches

in workings show whats left over but not counted.

As a batch its a whole number as the multiplier will usually be the fraction

and fraction / fraction should always show fraction but the whole number given with a remainder can be shown if not a whole number.

Step-by-step explanation:

6 1/2 = 6.5

and ;

3/4 of a pound = 0.75  of 1 pound

6.5 / 0.75 = 8.7         or in full workings write = 8.6666.....7

8.7/ 1 = 8 batches with 0.7 or 0.66667 left over

Answer In fraction for exam question given in fraction  8.7 = 8  batches

with  7/10 left over.

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Prove this plzzz help me may yall help me please and thank you? Performance Task 4 & Written Works 4 MEMES NEO KOLONYALISMO Panuto: 1.Gumawa ng Memes tungkol sa neo kolonyalismo maaring magdrawing o magclip sa Internet at gawaan ito ng maikling sanaysay kung ano ang nais nitong ipahiwatig na mensahe sa Neo kolonyalismo. Narito ang halimbawa Can someone help me please?!!!! Simplify (square root)2/^3(square root)2A. 2^1/6B. 2^1/3C. 2^5/6D. 2^3/2 ancient egypt quien es el criminal 1. Along the coast of South America, some of the largest earthquakes ever recorded happen. Many of these quakes are greater than 9.0 on the moment magnitude scale. Why do you think they experience these large quakes? 2. Where in the ocean, is the new oceanic crust being created?3. How is the new oceanic crust created? Write down at least 3 events that occur while the oceanic crust is being created. 4. As new crust is forming in these areas, where does it move, and how quickly does it move?5. If a new crust is continually being created, then the crust must be destroyed at some location for the Earth to remain its current size. Where is this crust destroyed and how is it destroyed? 6. Name 3 geologic features that are a direct result of plate tectonics. 7. Go outside your location and find something that you can use as evidence of plate tectonics. Write down what you see and how you think plate tectonics was involved in the creation. If you are in a flat prairie and can see nothing but vegetation around, look at a photo of a location to answer this question. The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) + 10. Which shows the graphs of f(x) and g(x)? On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60). On a coordinate plane y = f (x) starts at (0, 50) and curves up through (10, 60). y = g (x) starts at (0, 40) and curves up through (10, 50). On a coordinate plane, y = f (x) starts at (0, 50) and curves up through (10, 60). Y = g (x) starts at (10, 50) and curves up through (20, 60). On a coordinate plane, y = g (x) starts at (negative 10, 50) and curves up through (0, 60). Y = f (x) starts at (0, 50) and curves up through (10, 60). Mark this and return PLEASE ANSWER ASAAPPPPPPPP A mortgage with low initial payments that increase over time without ever leveling off is a graduated payment mortgage. growing-equity mortgage. second mortgage. shared-appreciation mortgage. equity line of credit Find the slope of the line that passes through the two points 2,-4 & 4,-1 Which phrase best describes Douglass's purpose for including this particular experience in the narrative of his life?to show that enslaved people were able to outsmart slaveholdersto show the kindness of the family he was enslaved toto show that all slaveholders believed slaves shouldn't know how to readto show the importance of education in changing his life If someone can pls give the answer with steps that would be greatly appreciated :) What are the nouns and verbs in the sentence. Approaching them about the money he was owed, Henry was nervous about getting into a confrontation. Four complex numbers lie at the vertices of a square in the complex plane.Three of the numbers are 1 + 2i, -2 + i and -1 2i. What is the fourthnumber? At the 6th grade school dance, there are 132 boys, 89 girls, and 14 adults. What is the ratio of adults to boys at the school dance? Sam has 24 ball he gives 1/3 to Rita. How many ball did he give to Rita? Contribution Margin Ratio a. Young Company budgets sales of $890,000, fixed costs of $26,000, and variable costs of $115,700. What is the contribution margin ratio for Young Company an interest expense of $125 has been incorrectly debited to utilities expense. Christina cycles 2 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.