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3 years ago

Factor the polynomial completely 24x^2y-6y

1 answer:

7 0

Divide by greatest common factor.
Answer simplified should be 6y(4x^2-1)
Rewrite in the form where a^2-b^2

Answer
6y(2x+1)(2x-1)

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I don't know how to do this it is hard

Solnce55 [7]

(-4) means that it would be +4

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3 years ago

Which of the following is a composite number? A)47 B)91 C)101 D)131

Varvara68 [4.7K]

91 = 7*13 is a composite number. It has factors other than itself and 1.

3 0

3 years ago

The temperatures (in degrees Fahrenheit) in Long Island recorded by the weather bureau over a week were 42, 49, 53, 55, 50, 47,

Ghella [55]

The IQR or interquartile range is the difference between Q1 and Q3, also know as the upper and lower quartiles.

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4 years ago

Read 2 more answers

I need help with both

uranmaximum [27]

Answer:

Part 1: 114,570,685 people

Part 2: The population grew by 2.5% (1,722,862 people)

Step-by-step explanation: For part 1 you would multiply 100,236,820 by 1.143 because of the fact that your percentage is increasing. so the 1 before the decimal point stands for 100% of the starting number and the .143 stands for the 14.3% that the population is increasing by.

Part 2 you would divide 53,594,378 by 55,317,240 to get approximately .975. .975 shows that 53,594,378 is about 97.5% of 55,317,240. You then subtract the numbers 100 and 97.5 to get 2.5. 2.5 is the percentage that the population is increasing by. So, then you could just subtract 55,317,240 and 53,594,378 to get 1,722,862. This is the amount of people the population increased by. Then you just put your answer that the population increased. That it increased by 2.5% and 2.5%= 1,722,862 people

I hope this helps you :)

7 0

4 years ago

State whether the lines are parallel, perpendicular,or neither.

cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

Two lines are parallel if their slopes are equal.

Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

$y=mx+b$

where m is the slope and b is the y-intercept

Given the lines

y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6

y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

m₁ × m₂ = -1

6 × - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3

2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4

x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

m₁ × m₂ = -1

4 × - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2

3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6

y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3

y = -1/3x - 4

Comparing with y=mx+b, the slope of y = 1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0

3 years ago