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2 years ago

Which of the following is a factor of 2xy + 8y − 8x − 32?

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

7 0

The correct factorization of this equation is (2y - 8)(x + 4).

In order to factor polynomials with 4 terms like this, you can often use a strategy called grouping. To do that, split into two different binomials.

(2xy + 8y) and (-8x - 32)

Now you can factor out the greatest common factor of each parenthesis.

2y(x + 4) and -8(x + 4)

Now in grouping, if after factoring out the greatest common factor, you can put the two things you pulled out in one parenthesis. You can multiply that by one of the matching set for the final answer.

(2y - 8)(x + 4)

You might be interested in

Which table shows a proportional relationship between x and y ?

insens350 [35]

Answer:

Table C

Step-by-step explanation:

Given

Table A to D

Required

Which shows a proportional relationship

To do this, we make use of:

$k = \frac{y}{x}$

Where k is the constant of proportionality.

In table (A)

x = 2, y = 4

$k = \frac{y}{x}$

$k = \frac{4}{2}$

$k = 2$

x = 4, y = 9

$k = \frac{y}{x}$

$k = \frac{9}{4}$

$k = 2.25$

Both values of k are different. Hence, no proportional relationship

In table (B)

x = 3, y = 4

$k = \frac{y}{x}$

$k = \frac{4}{3}$

$k = 1.33$

x = 9, y = 16

$k = \frac{y}{x}$

$k = \frac{16}{9}$

$k = 1.78$

Both values of k are different. Hence, no proportional relationship

In table (C):

x = 4, y = 12

$k = \frac{y}{x}$

$k = \frac{12}{4}$

$k = 3$

x = 5, y = 15

$k = \frac{y}{x}$

$k = \frac{15}{5}$

$k = 3$

x = 6, y = 18

$k = \frac{y}{x}$

$k = \frac{18}{6}$

$k = 3$

This shows a proportional relationship because all values of k are the same for this table

7 0

2 years ago

What is 7.1 divided by 312.755

WITCHER [35]

Answer:

0.0227014756

Step-by-step explanation:

or if you meant 312.775/7.1 it's 44.0528169

6 0

2 years ago

Read 2 more answers

If a 14-karat ring weighs 0.5 ounce,How many ounces of pure gold does it contain?

lianna [129]

I think it would contain 0.2915 ounces of pure gold in it. sorry if my answer isnt correct

5 0

2 years ago

If a = 4 and b = 3 what is the value of 3a - <img src="https://tex.z-dn.net/?f=b%5E%7B2%7D" id="TexFormula1" title="b^{2}" alt="

liberstina [14]

3(4) - (3)^2
12 - 9
3

5 0

2 years ago

I need help on solving this math problem.

son4ous [18]

Answer:

f(1)=-3

f(-4)=-11

f(6)=0

Step-by-step explanation:

Use the correct formula depending on what (x) equals.

When (x=1) you use the second formula because 1 is greater than -2 but less than 4

When (x=-4) you use the first formula because -4 is less than -2

When (x=6) you use the third formula because 6 is greater than 4

5 0

2 years ago