Which of the following represents the factorization of the binomial below?
81x2 – 25y2
A. (9x - 5y)(9x - 5y)
B. (9x - 5y)(9x + 5y)
C. (9x - y)(x + 5y)
D. (9x + 5y)(9x + 5y)

Answers

Answer 1

Answer:

B. (9x - 5y)(9x + 5y)

Step-by-step explanation:

when you are factoring these, when you have a negative and a positive, there is a number that will cancel. in this case, when distributing the factors, the number 45xy and -45xy come up. those cancel.


Related Questions

I need help please ?!!!!

Answers

The answer to the question is (a) -44

Problem 3.1
Jaleel wrote a book. He wants to print some copies for his
friends and family. The printing company charges a one-
time fee of $200, plus $2 for each printed book.
Is Jaleel's total cost a function of the number of books he
prints?

Answers

Answer:

C(n) = 200 + 2n

Step-by-step explanation:

Given:

Fixed cost state by printing company = $200

Variable charges per book print = $2

Find:

Cost function of number of books print

Computation:

Assume:

Number of books printed = n

Total cost of n books printed = Fixed cost state by printing company + Variable charges per book print[Number of books printed]

C(n) = 200 + 2n

Where n = number of book

C = Total cost

Jaleel's total cost as a function of the number of books he print is [tex]c = 2n + 200[/tex]  (in dollars)

How to form mathematical equations from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4.

If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions or equations.

For the considered case, we don't know exactly how many books will Jaleel gets printed. So we can use variable here.

Let we have:

n = number of books Jaleel gets printed.c = total cost Jaleel has to pay for printing those books

Then, as stated in the problem, for each book there is $2 price, and there is a fixed one-time charge of $200

Thus, we get total cost as:

c = Cost for n books + Fixed one-time cost.

Cost for n books = 2 + 2 + ... + 2 (n times ) (in dollars) = [tex]2n[/tex]

(we don't write symbols like of currency generally, and understand it from context. Also, sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together)

Fixed one-time cost = $200

Thus, total cost is written as:

c = Cost for n books + Fixed one-time cost.

c = 2n + 200 (in dollars)

Learn more about forming equations here:
https://brainly.com/question/11938672

Find the area of the figure to the nearest hundredth.

Answers

Answer:

19.85 sq ft

Step-by-step explanation:

area of circle with diameter of 5:  A = π(2.5²)  =  7.85

area of triangle:  A = 1/2(4)(6) = 12

What is the value of z?

Answers

Answer

61

Step-by-step explanation:

subtract 180-73.8-46.2

Answer:

The value of z is 26.6

Step-by-step explanation:

72.6 - 46.2=26.6

Please answer correctly math problemo

Answers

Answer:

2*3*4=24 (units)

l*w*h=V

brainliest plz

Step-by-step explanation:

Answer:

the answer is 24

Step-by-step explanation:

you do 3 times 4 and you get twelve and then you times it by 2

Solve for x.
8 12
24
Х
x= ? ]

Answers

Answer:

x=44

Step-by-step explanation:

Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?

Answers

Answer:

Don't awnser the bots

Step-by-step explanation:

They will try ro scam you

Bryan has coaught 14 of the 70 pokemon that are still currently at the park in pokemon go.what percent of pokemon does he stiñl need to catch?

Answers

Answer:

He still needs to catch 80% of the pokemon's.

Answer:80% are left.

Help be genuine will mark brainliest

Answers

Answer: 15.45133224

Step-by-step explanation:

Find the area of the half circle.

r=6

pi (6)^2/2

Divide by two because it is a half circle not a circle.

pi (6)^2/2=18 Pi

We know there are two square with even side lengths so we know the sides of the two squares are 6 it is the same as the radius of the circle.

We multiply B*H= Area of the square

6*6=36 is the length of half of the rectangle aka the square

So we multiply that by 2 because there are 2 squares so we get 72

72-18 Pi= 15.45133224

Answer:

15.48 is the answer

Step-by-step explanation:

6×6×3.14=113.04

113.04÷2= 56.52

6×12= 72

72-56.52= 15.48

Which only lists multiples of 16? *
Mark only one oval.
1, 2, 4, 8, 16
16, 24, 32, 40
16, 32, 48, 64

Answers

1,2,4,8,16 is your answer
1,2,4,8,16 is the correct answer
good luck

The fifth grade art class is making quilts

Answers

Answer:

trapazoid

Step-by-step explanation:

A trapezoid is a shape that belongs in the overlapped section of the

Venn diagram.

What are polygons?

Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).

Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.

It is perpendicular to the regular polygon's side it touches.

The fifth-grade art class is making quilts. There are some of the shapes they are putting in their quilts.

A trapezoid is a shape that belongs in the overlapped section of the

Venn diagram.

Learn more about apothem here:

https://brainly.com/question/12090932

#SPJ2

The employees from maintenance go for coffee together every day at 9 a.m. On Monday, Hector paid $4.60 for three cartons of milk, three cups of coffee, and seven
doughnuts. On Tuesday, Guillermo paid $8.30 for four milks, nine coffees, and eight doughnuts. On Wednesday, Anna paid $4.90 for two milks, five coffees, and six
doughnuts. On Thursday, Alphonse had to pay for five milks, two coffees, and eight doughnuts. How much change did he get back from his $10 bill?

Answers

Answer:

The change will be $4.75

Step-by-step explanation:

Given data:

Monday

Total paid = 5.45

milk bought =3

coffee bought = 4

doughnuhts = 7

Tuesday

Total paid = 5.30

milk bought =4

coffee bought = 2

doughnuhts = 8

Wednesday

Total paid = 5.15

milk bought =2

coffee bought = 5

doughnuhts = 6

Thursday

Total paid = X

milk bought =5

coffee bought = 2

doughnuhts = 9

Let milk be m, Let coffee be c and Let doughnuts be d

3m + 4c + 7d = 5.45 (eqaution 1)

4m + 2c + 8d = 5.30 (equation 2)

2m + 5c + 6d = 5.15 (equation 3)

Using equation 1 and equation 2 ( to eliminate m)

3m + 4c + 7d = 5.45 (Multiply the whole equation by 4)

4m + 2c + 8d = 5.30 (Multiply the whole equation by 3)

12m + 16c +28d = 21.8

12m + 6c +24d = 15.9   (Subtracting the two equations)

0m +10c + 4d = 5.9

therefore 10c +4d = 5.9 (equation 4)

Using equation 2 and equation 3 (to eliminate m)

4m + 2c + 8d = 5.30 (Multiply the whole equation by 2)

2m + 5c + 6d = 5.15 (Multiply the whole equation by 4)

8m + 4c + 16d = 10.6

8m +20c +24d = 20.6  (Subtracting the two equations)

0m -16c -8d = -10

-16c -8d = -10 (equation 5)

Solving equation 4 and equation 5( to eliminate d)

10c +4d = 5.9 (Multiply whole equation by 8)

-16c -8d = -10 (Multiply whole equation by 4)

80c + 32d = 47.2

-64c  -32d = -40 (Adding the equations)

16c              =7.2

therefore c = 0.45

Substituting into equation 4

10(0.45) + 4d = 5.9

4.5 + 4d = 5.9

4d = 5.9-4.5

4d = 1.4

therefore d = 0.35

Substituting c and d into equation 1

3m + 4c + 7d = 5.45

3m + 4(0.45) + 7(0.35) = 5.45

3m + 1.8 + 2.45 = 5.45

3m = 5.45-2.45-1.8

3m = 1.2 therefore m = 0.4

Alphonse has to pay 3m + 2c + 9d

Alphonse change will be 10 - (3m + 2c + 9d) (Substituting m, c and d)

10- (3(0.4) + 2(0.45) + 9(0.35) = 10 -(1.2+0.9+3.15)

which simplifies to 10- 5.25=4.75

The change will be $4.75

A small refrigerator is a cube with a side length of 19 inches.
Use the formula S = 6s2 to find the surface area of the cube.

Answers

Answer:

2166in^2

Step-by-step explanation:

S=6(19)^2=2166

g Cell phones. Following are last year's local monthly bills, in dollars, for a random sample of 50 cell phone users. 32.88,31.09.16.13,104.2,47.65,116.96,61.97,43.74,13.52,15,37,30.09,16.93,44.67,28.08,64.68, 16.17,28.04,57.67,14.62,61.32,35.64,88.95,50.48,16.41,16.56,13.48,27.10,15.50,19.95,23.45,4 6.24,41.8,49.35,81.16,28.80,32.48,28.95,31.60,35.6,24.74,44.82,51.62,42.04,22.43,46.54,48.3 2,24.53,77.21,15.12,126.84 At the 5% significance level, do the data provide sufficient evidence to conclude that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37

Answers

Answer:

At 5% significant level, there is sufficient evidence to suggest that last year's mean local monthly bill for cell phone users has decreased from the 2001 mean of $47.37

Step-by-step explanation:

The given data are presented as follows;

32.88, 31.09, 16.13, 104.2, 47.65, 116.96, 61.97, 43.74, 13.52, 15, 37, 30.09, 16.93, 44.67, 28.08, 64.08, 16.17, 28.04, 57.67, 14.62, 61.32, 35.64, 88.95, 50.48, 16.41, 16.56, 13.48, 27.10, 15.50, 19.95, 23.45, 46.24, 41.8, 49.35, 81.16, 28.80, 32.48, 28.95, 31.60, 35.6, 24.74, 44.82, 51.62, 42.04, 22.43, 46.54, 48.32, 24.53, 77.21, 15.12, 126.84

We note that there are 51 data points, however, the points, 15 and 37 are given without decimal place values and therefore, they are taken as one data point to make 50 data points.

The given sample size = 50

The mean mean of the given data, [tex]\overline x[/tex] ≈ 41.01

The standard deviation of the given data, s ≈ 26.59

The null hypothesis, h₀; μ = 47.37

The alternative hypothesis, hₐ; μ < 47.37

The significant level, α = 5%

Therefore, we have;

The test statistics is given as follows;

[tex]t=\dfrac{\bar{x}-\mu }{\dfrac{s}{\sqrt{n}}}[/tex]

Plugging in the values gives;

[tex]t=\dfrac{41.01-47.37}{\dfrac{26.59}{\sqrt{50}}} \approx -1.69131[/tex]

The critical-t at 5% at df = n - 1 = 51 - 9 = 49 degrees of freedom and significance level, α of 5% (0.05) from a calculator = -1.676551

Given that the test statistic is larger than the critical-t, we therefore reject the null hypothesis. There is enough statistical evidence to suggest that last years mean monthly bill for cell phone users has decreased from 2001 mean to $47.37.

helpp i beg u its due in one hour!!! plz ​

Answers

Answer:

113.1 cm²

Step-by-step explanation:

we are given the diameter of the circle (length is 12 cm), and the formula for the area of the circle, which is πr², where r is the radius

so first, we need to find the radius

the length of the radius is half the length of the diameter

so that means that r=d/2

r=d/2

r=12/2

r=6

therefore the length of the radius is 6

now square 6, which is the same as multiplying it by itself

6²=36

now, multiply the radius squared by π, which is often substituted for as 3.14 or 22/7  

so if we were to do 22/7 for instance,

36*22/7≈113.14

round that to 113.1

there's your answer :)

Hope this helps!

Pls only give direct answers

Answers

Answer:

B

Step-by-step explanation:

the perimeter of a rectangle is 240 ft., If the length is 12 ft., then what is the width

Answers

Answer:

w=108

Step-by-step explanation:

Using the formula

P=2(l+w)

Solving for w

w=P /2﹣l = 240 /2﹣12 = 108

Answer:

width=20

Step-by-step explanation:

the area of a rectangle= length times width

12x=240

then you divide 12 by both sides, so the answer is 20

In the figure, the angles are formed by a transversal and two parallel lines. Which angles are congruent?

Answers

Answer:

A is your correct answer.

1, 3, 5, and 7 are equal to each other and 2, 4, 6, and 8 are equal to each other.

Step-by-step explanation:

Congruent angles are angles that have the same measure. In this example, where two parallel lines are cut by a transversal line, the angles in the same position on the top line and bottom line are congruent. For example, angle 1 and 5 are in the same position, so they have the same measure.

Also, vertical angles (opposite angles, like 5 & 7 in your example) have the same measure.

Please let me know if you have questions about this.

Help please I’ll mark brainliest

Answers

Answer:

y=7x

Step-by-step explanation:

A cook makes vegetable barley soup by mixing 2 pounds of barley into 7 quarts of vegetable broth. Assume that the cook continues to use the same rate to make more batches of soup. How many pounds of barley should the cook mix with 35 quarts of broth?

Answers

Answer: The answer to this question is 10 :D

Step-by-step explanation:

The answer is 10 pounds.

2 pounds            7 quarts

4                                14

6                                 21

8                                 28

10                                35

The measure of an angle is 67º. What is the measure of its complementary angle?

Answers

Answer:

see explation

Step-by-step explanation:

# complementary angles are those angles which are formed when 90° is substracted from the given degree of angle.

so here,given angle is 67°

complementary angle of 67° = 90°- 67°

= 23°

please mark me as brainlist.

Use the diagram to complete the statement!
Due in 10 min! Please help!
Will give brainliest!

Answers

Answer:

m>NQR=30°

m<LNS=61°

RQ=7

Step-by-step explanation:

m>NQR=180-89-61=30°

m<LNS=61°

RQ= 8/4=x/3.5 = 7

whats 25.28 in expanded form

Answers

I took a pic of the work i did for it! come to my page and help me out too please
25.28 - 20+5+0.2+0.08

Plastic parts manufactured using an injection molding process may exhibit one or more defects, including sinks, scratches, black spots, and son on. Let x represent the number of defects on a single part, and suppose the distribution of x is as follows: x: 0 1 2 3 4 p(x): 0.79 0.09 0.05 0.04 0.03 What is the expected value, E(X), for the number of defects on a randomly selected plastic part

Answers

Answer:

The expected value for the number of defects on a randomly selected plastic part is 0.43.

Step-by-step explanation:

We have the following probability distribution:

P(X = 0) = 0.79

P(X = 1) = 0.09

P(X = 2) = 0.05

P(X = 3) = 0.04

P(X = 4) = 0.03

What is the expected value, E(X), for the number of defects on a randomly selected plastic part?

Each value multiplied by its probability. So

[tex]E(X) = 0.79*0 + 0.09*1 + 0.05*2 + 0.04*3 + 0.03*4 = 0.43[/tex]

The expected value for the number of defects on a randomly selected plastic part is 0.43.

giving brainliest *easy*

Answers

Answer:

1130.4

Step-by-step explanation:

2x100pi + 160pi

11 1 point Are the two triangles are congruent by SSS, SAS, ASA, AAS or NO (not enough information given) Answer SSA : AAA NO SAS AAS SSS SASA Previous​

Answers

Answer:

, its SSS ,SAS , AAS , ASA

Step-by-step explanation:

4x + 10= 22 find the value of x

Answers

Answer:

x=3

Step-by-step explanation:

A 10.0kg rock is dropped and hits the ground below at a speed of 60 m/s . Calculate the gravitational potential energy of the rock before it was dropped

Answers

Answer:

Solution:

Mass of body, m= 10kg

velocity, v= 60m/s

Now,kinetic energy on earth= potential energy at a that point [energy conservation]

so, kinetic energy= 1/2*m* v^2

= 1/2* 60(60)^2

= 30* 60*60

= 108000 joules

QUICK
ADD THE EXRESSIONS
(10x - 4) + ( -7 + x) = (10x +) + ( -4 + )

Answers

Answer:

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

10x-4-7+x=10x-11 is your answer

The Value of X________

Answers

Answer:

x = 59.5

Step-by-step explanation:

the angles  of a quadralateral equal 360 degrees, one angles is 90 degrees, the other i 151, 90 + 151 = 241, 360 - 241 = 119, 119/2 = 59.5, x = 59.5

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