Factor rs - 5s + 5r - 25 by grouping

Answers

Answer 1

Answer:

(s+5)(r-5)

Step-by-step explanation:

From the first 2 terms, we can factor s to get

rs - 5s = s(r-5).

Similarly, we can factor 5 form the last 2 terms to get

5r - 25 = 5(r-5).

The original expression then becomes

s(r-5) + 5(r-5).

From here, we can treat (r-5) as a single term and factor the rest to get

(s+5)(r-5),

and we are done.


Related Questions

An airplane company flies 45 airplanes daily. The CEO collects the following passenger counts for a random sample of airplanes
from the fleet, as shown below.
119, 138, 157, 85, 157, 119, 138, 119, 157, 85

Assuming that the sample is representative of the entire fleet of airplanes, what would be the mean daily passenger count per
plane?

A. 124.75
В. 135.9
C. 127.4
D. 128.5


Answers

Your answer would be C

Step by step:
Start with 10 flights it gives you
Assuming this data is rhe same for each 10 flights you should divide 45 by 10 to get an average of 4.5. (the amount of sets of 10 planes) You then use this number as a constant multiplying it by the number of planes with the same amount of passengers.(in this case 3 flights with 119 passengers) So that would look like this: 4.5 x 3=13.5 (the number of total flights with 119 passengers) Continue to do this with each number set, add them all up, and divide them by the total number of planes, 45.

the last answer is 35 I just could not fit it in the pic​

Answers

Angle beside C is 145 so C is 180 -145=35
So the sum of the triangles angles is 180
Therefore 180-35=145
So the sum of angle A and B is 145

IM NOT SURE HOW TO SOLVE THIS CAN SOMEBODY HELP ME

Answers

Answer:

The y-intercept is the point (0, 128).

The x-intercepts are the points (-4, 0) and (-8, 0).

As x → ∞, y → ∞.

As x → -∞, y → -∞.

Step-by-step explanation:

To find the y-intercept, substitute 0 for x and solve for y.

P(x) = (x + 4)²(x + 8) P(0) = (0 + 4)²(0 + 8)P(0) = (4)²(8)P(0) = 16 * 8 P(0) = 128

The y-intercept is (0, 128).

To find the x-intercept, substitute 0 for y and solve for x.

0 = (x + 4)²(x + 8)

Set the first term, (x + 4)², equal to 0.

0 = (x + 4)²0 = x + 4 -4 = xx = -4

Set the second term, (x + 8), equal to 0.

0 = x + 8 -8 = xx = -8

The x-intercepts are the point (-4, 0) and (-8, 0).

Look at the degree and leading coefficient of the polynomial to determine the end behavior, and therefore you can determine how y behaves as x gets closer to infinity.

Since the degree of the polynomial is odd (3) and the leading coefficient is positive, the graph falls to the left and rises to the right.

So, as x → ∞, y → ∞ and as x → -∞, y → -∞.

If you want to verify this, plug the equation into your calculator and look at the graph. How does it behave as you look at negative x-values? How about for positive x-values?

Determine the number of solutions of each system of equations.

Answers

Answer:

no solutions

Step-by-step explanation:

x+y = 5

-2x-2y = 10

Multiply the first equation by 2

2x+2y =10

Add this to the second equation

2x+2y =10

-2x-2y =10

0 =20

This is not true so there are no solutions

What is the solution to the following equation?

x^2 + 5x + 7 = 0

A. x = -5±√-3 /2

B. x = -5±√53 /2

C. x = -3±√-7 /2

D. x = 3±√25 /2

Answers

Answer:

A

Step-by-step explanation:

using the quadratic formula

in the picture above

find the value of n such that x^2-19x+n is a perfect square trinomial.

Answers

Answer:

1st option

Step-by-step explanation:

x² - 19x + n

using the method of completing the square

add ( half the coefficient of the x- term )² to x² - 19x

x² + 2(- [tex]\frac{19}{2}[/tex] )x + (- [tex]\frac{19}{2}[/tex] )²

with n = (- [tex]\frac{19}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] , then

(x - [tex]\frac{19}{2}[/tex] )² ← a perfect square trinomial

A swimming pool is shaped like a right rectangle prism. the pool is 36 ft long and 20 ft wide. What is the total amount of water in cubic ft,needed to fill tje pool to a depth 4 ft.

Answers

Answer:

2880 ft³

Step-by-step explanation:

T o find the total amount of water that is needed to fill the pool, you have to find the volume of the pool.

Formula to find the volume of a rectangle prism is :

Volume = length × width × height

Let us solve now.

Volume = length × width × height

Volume = 36 ft × 20 ft × 4 ft

Volume = 2880 ft³

Therefore, 2880 ft³ of water is needed to fill the pool.

Frank got a gift for his sister and put it in a shoebox.
+
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the height
measures 4 in, how much wrapping paper does he need to cover the shoebox?
OA 330 sq in
ОВ.
110 sq in
OC. 440 sq in
OD. 220 sq in

Answers

Answer:

200

Step-by-step explanation:

Length times width to get the base 10 x 5 = 50 With the base multiply it by the height to get 50 x 4 = 200

Help please fast ong im begging

Answers

(x+5)(x+3) so the first one

Answer:

(x + 3)(x + 5)

Step-by-step explanation:

Find two numbers that multiply to 15 and add to 8.

The numbers are 3 and 5.

x² + 8x + 15 = (x + 3)(x + 5)

Which is an example of why higher education typically has a positive return on investment (ROI)?



The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

Higher paying jobs come with experience, not with earning a degree or certificate.

Higher education usually results in a lot of debt which can be difficult to afford.

The highest paying jobs come with a high school diploma which is an important reason to finish high school.

Answers

Answer:

Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.

Step-by-step explanation:

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

What is return on investment?

The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.

here,

Higher education loans generally have a positive ROI because you are building skills and work experience that can increase your future earnings. More education is correlated with higher lifetime earnings.

The jobs you can get with higher education will earn more money than jobs without a degree or certificate.

The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.

Learn more about ROI:

brainly.com/question/12908738

#SPJ2

Given that log Cart 2) + log, b=0 and ing (a-2) 16g, b=actl Show = "feetfiad Metult possible velers of a cand is where a, b er (a that 92 442480 an 2 it soln​

Answers

Answer:

12+12 log2) b=34) 54+90)=10000+32+54=9000

Step-by-step explanation:

I know the answer I am a math tutor at Elomantry High Scholl Teaching for 6 years now

6) Out of 15 students only 10 passed the geography scam. Write the fraction of students
Who failed in the geography cam.

Answers

There’s 15 students 10 passed 5 failed so the answer is 5/15

to the nearest tenth what is the circumference of a bicycle tire with a radius of 11 inches? use 3.14 for pi

Answers

Step-by-step explanation:

Radius = 11 inches

⇒ Circumference = 2πr

⇒ Circumference = (2 × 3.14 × 11) inches

Circumference = 69 inches

I need help ya'll please:)​

Answers

Answer:

Step-by-step explanation:

Please take a clearer picture couldnt read it well

what is the difference between 3/4 and 2 1/4

Answers

Answer:

3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.

Rewrite the fraction with the indicated denominator.

Answers

Answer:

I believe the answerwould be 18/21.

Please let me know if I'm correct!

Hope this helps you!

Hey there!


6/7 = ?/21

= 6/7 = x/21

CROSS MULTIPLY the FRACTION

6(21) = x(7)

6(21) = 7(x)

126 = 7x

7x = 126

DIVIDE 7 to BOTH SIDES

7x/7 = 126/7

CANCEL out: 7/7 because it give you 1

KEEP: 126/7 because it help solve for the x-value

NEW EQUATION: x = 126/7

SIMPLIFY IT!

x = 18


Therefore, your answer is: 18


BECAUSE 18/21 is equivalent to 6/7 and they both give you approximately 86% (or simply 0.86) if you’re rounding your percentage/decimal form


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

A certain laptop is really popular and sells for $209. Since sales are so good, the store raises the price by 12%. What is the cost of the laptop after the markup?

Answers

$255.98 is the correct answer

50 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.

Data Set 2 has a mean of 170.2 and a MAD of 1.7.

What can be concluded about the two distributions?

Select each correct answer.


The means-to-MAD ratio is 10.

The distributions are different.

The distributions are somewhat similar.

The means-to-MAD ratio is 7.

Answers

the means to and reroof is 10

the distributions are somewhat similar

PLEASE HELP 20 POINTS AND BRAINLIEST

Answers

Answer:

5/6, 0.83 or 83%

Step-by-step explanation:

Answer:

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

Step-by-step explanation:

Writing out information

2 comedy CDs

3 science-fiction CDs

7 adventure CDs

10 random CDs

22 total CDs

The chosen CD is not a comedy.

Solving probability for each

Decimals rounded to nearest 100th

Comedy:

[tex]2:22\\0.09\\\frac{2}{22}[/tex]

Science-fiction:

[tex]3:22\\0.14\\\frac{3}{22}[/tex]

Adventure:

[tex]7:22\\0.32\\\frac{7}{22}[/tex]

Random:

[tex]10:22\\0.45\\\frac{10}{22}[/tex]

Finding the total of the non-comedy

[tex]0.14+0.32+0.45=0.91[/tex]

[tex]0.91=91[/tex]%

Conclusion

Probabilities

Decimal: [tex]0.91[/tex]

Fraction: [tex]\frac{91}{100}[/tex]

Percentage: [tex]91[/tex]%

find the volume of 20m, 5m, 18m

Answers

Answer:

600 m³

Step-by-step explanation:

The shape we have is a rectangular pyramid:

Formula: (volume of a rectangular pyramid)

Volume = (1/3) × Base Area × height

___________________________

In our case :

Base area = L × W = 20 × 18 = 360 m²

height = 5 m

⇒ Volume = (1/3) × Base Area × height

    [tex]\Longrightarrow \text{volume} \ =\ \frac{1}{3} \times 360\times 5[/tex]

[tex]\Longrightarrow \ \text{volume} \ =\ 600\ m^{3}[/tex]

What is the volume of this cone?
Use a = 3.14 and round your answer to the nearest hundredth
13 mm
6 mm
how do i get the answer

Answers

Pi times radius squared times (height÷3)

if radius is 6 then 490.09

if radius is 13 then 1061.86

How is 1-n/2n-2 written in lowest terms

Answers

Answer:

- 1/2

Step-by-step explanation:

I assume this is  (1-n) / (2n-2)  

     (1-n) / (-2)(1-n)

    -1/2

An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the
container?
Enter your answer in the box.

Answers

The right answer would be 216

1) 6*6=36

2)36*6=216

The weight of a blue whale is about 250,000 pounds. Write this number in scientific notation

Answers

Answer:

250÷50=3 because I have a great day and I will be in the 3 1 4 a few days ago a friend of ours was the only thing

Step-by-step explanation:

yes maybe no more options visit in the future please reply with your family

30 POINTS FOR THE BRAINLIEST!!! Find the indicated measures, given that
EA is a diameter.

a) mDEF=
b) mEFG=
c) mAC=

d) Explain how you found each angle measure below. Be sure to show all of your work.

Answers

mDEF=152
mEFG=70
mAC=28

180-(110+31)=39
152-39=113
180-152=28

NEED HELP WITH THIS MATH PROBLEM QUICK!!!

Answers

Answer:

[tex]\implies m\angle A =42\degree[/tex]

Step-by-step explanation:

Quadrilateral ABCD is inscribed in circle with center O.

-> Quadrilateral ABCD is cyclic.

Opposite angles of a cyclic quadrilateral are supplementay.

[tex]\implies m\angle B + m\angle D = 180\degree[/tex]

[tex]\implies (2x)\degree + (3x-5)\degree = 180\degree[/tex]

[tex]\implies (5x-5)\degree = 180\degree[/tex]

[tex]\implies 5x-5= 180[/tex]

[tex]\implies 5x= 185[/tex]

[tex]\implies x= \frac{185}{5}[/tex]

[tex]\implies x= 37[/tex]

[tex]\implies m\angle A =(x+5)\degree[/tex]

[tex]\implies m\angle A =(37+5)\degree[/tex]

[tex]\implies \huge{\orange{m\angle A =\boxed{42}\degree}}[/tex]

What is the geometric mean of 25 and 2

Answers

Answer:

Geometric Mean of 2 and 25: 7.0711

7 raise to -2 x 3 raise to 2 = 3by7 raise to 4x

Answers

7^-2 x 3^2 = 3 x 7^4x should be your equation.

Exact form: x = 3/117649Evaluate the exponentEvaluate the exponentMultiply the numbersEvaluate the exponentMultiply the numbersDivide both sides by the same factorSimplifyDecimal form: x = 2.54995792 10^5

I don't know if this is what you were looking for but I hope it helps.

Utilize graphing to find the solution to
the following system of equations.
y = x-7 AND y = -x + 1
([?], [])
Enter

Answers

Answer:

(4, -3)

Step-by-step explanation:

To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.

Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.

Answers

[tex]\text{Let,}\\\\~~~~~~~x=1-4i,\\\\\implies x-1 = -4i\\ \\\implies (x-1)^2 =(-4i)^2\\\\\implies x^2 -2x +1 = -16\\\\\implies x^2 -2x +1 +16 = 0\\\\\implies x^2 -2x +17=0\\\\\text{So,}~ x^2 -2x +17 ~\text{is a factor of the 3 degree polynomial.}\\ \\\text{The polynomial is,}\\\\P(x) = (x-3)(x^2 -2x +17)\\\\~~~~~~~=x^3-2x^2+17x -3x^2 +6x -51\\\\~~~~~~~=x^3 -5x^2 +23x -51[/tex]

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