Factor 6(2p q)^2 -5(2p q) - 25

Answers

Answer 1
Answer: treat the 2p+q as x

6x2-5x-25
trial and error
(2x-5)(3x+5)
replace x with (2p+q)
(2(2p+q)-5)(3(2p+q)+5)
(4p+2q-5)(6p+3q+5)

Related Questions

Help me please need help
When a sample size is greater than 10, the standard deviation of the sample is an accurate predictor of the population standard deviation. A. True B. False
The slope of the _________________ is determined by the relative price of the two goods, which is calculated by taking the price of one good and dividing it by the price of the other good. Opportunity cost productive efficiency budget constraint production possibilities frontier
6th grade math! hehe (:
If f(x)=5x+12, what if f(2)?

Consider each equation and solution. Which solution is NOT correct?​

Answers

Answer:

D, or the last answer

Step-by-step explanation:

First, plugin the value of y into the equation, resulting in 12 - 2(-2) = 8.

Second, Simplify as much as you can on the left hand side of the equation, resulting in 12 - (-4), and because of the double negative rule, those two negatives become a plus. 16

Lastly, see if the two sides are equal or not equal. 16 is NOT equal to 8. That means D is your answer.

2Viviana is ordering carpet

for 16 square rooms in a

hotel. Each room will need

100 square feet of

carpet. What is the

length of 1 room?

Answers

Answer:

Length of a room is 10ft

Step-by-step explanation:

Given

Rooms = 16

Carpet\ Area = 100ft^2

Required

Determine the length of each room

Here, we'll assume that the carpet will cover each room completely.

If so:

Carpet\ Area = Length * Length

100ft^2 = Length * Length

100ft^2 = Length^2

Take square root of both sides

√(100ft^2) = √(Length^2)

√(100ft^2) = Length

Take positive square root

10ft = Length

Length = 10ft

Hence, the length of a room is 10ft

Find the distance between the two numbers on the number
line.

Answers

Answer:

3 1/2

Step-by-step explanation:

|-7| - |-3 1/2| = 3 1/2

In a school of 500 students, 30% had I-Phones. The percent of boys to giwere 25% and 75% respectively.
A. Calculate (I) the number of students with I-PhonesIn a school of 500 students, 30% had I-Phones. The percent of boys to gi
vere 25% and 75% respectively.

Answers

Answer:

tbh,I would calculate the girls to boys ratio.

Step-by-step explanation:

I mean, them boys gotta be in female heaven.

25% of them, the rest being girls, dang, imagine being handsome. lots of gf's

and FYI, it's iPhone not an i-phone.

EquationsWhat is the solution of the system of linear equations?
-3x + 4y = -18
2x - y = 7

(-2,-3)
(-2,3)
(2, -3)
(2, 3)​

Answers

The solution of the system of linear equations given is (2,-3), the correct option is C.

What is System of Linear Equation?

The system of linear equation is set of equations which have a common solution.

The equations are

-3x+4y = -18

2x-y =7

The linear equations can be solved using substitution method

y = 2x -7 from equation 2 will be substituted in equation 1

-3x +4 ( 2x -7) = -18

-3x +8x -28 = -18

5x = 10

x = 2

y = 2 * 2 -7 = -3

To know more about System of Linear Equations

brainly.com/question/12895249

#SPJ2

Answer:

Step-by-step explanation:

-3x + 4y = -18

8x - 4y =   28

5x = 10

x = 2

4 - y = 7

-y = 3

y = -3

(2, -3)

Compact and oversized tires are produced on two different machines. The table shows the number of each type of tire produced, y, depending on the number of hours, x, the machines work.

Answers

Answer:

OPTION B: 57x - 3

Step-by-step explanation:

Total tires produced is the sum of number of over-sized tires and the number of compact tires.

So, we have when x = 1, tires, y = 23 + 31 = 54

When x = 2, total tires y = 48 + 63  = 111

When x = 3, total tires y = 73 + 95  = 168

When x = 4, total tires y = 98 + 127 = 225

We can substitute the options to check which one will be the correct representation.

Option A: 55x - 1

When x = 1, y = 55(1) - 1    = 54

When x = 2, y = 55(2) - 1  = 109    $ \ne $    111

So, this option is eliminated.

Option B: 57x - 1

When x = 1, y = 57(1) - 3    =   54

When x = 2, y = 57(2) - 3  =   111

When x = 3, y = 57(3) - 3  =   168

When x = 4, y = 57(4) - 3  =   225

These values exactly match with the values from the table. So, Option B is the right answer.

Option C: 110x - 2

When x = 1, y = 110(1) - 2 = 108  $ \ne $  54

Hence, this option is incorrect.

Option D: 114x - 6

When x = 1, y = 114(1) - 6 $ \ne $  54

Hence, this option is also eliminated.

Option B is the required answer.

Answer: D

Step-by-step explanation:

the person above me was on the right track but needed to multiply the sum of the y values by 2. Therefore the answer should be D