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maksim [4K]
3 years ago
13

Factor completely: 9x3 + 9x2y - 4x - 4y

Mathematics
2 answers:
Sholpan [36]3 years ago
4 0

Answer:

(x+y)(3x+2)(3x-2)

Step-by-step explanation:

The given expression is 9x^3+9x^2y-4x-4y

Make group as shown below

(9x^3+9x^2y)+(-4x-4y)

Factor out GCF from each of the group

9x^2(x+y)-4(x+y)

Now, factored out the common term

(x+y)(9x^2-4)

Now, rewrite the expression in perfect square form

(x+y)((3x)^2-2^2)

Apply the difference of squares formula: a^2-b^2=(a+b)(a-b)

(x+y)(3x+2)(3x-2)

Hence, the factored form of the given expression is

(x+y)(3x+2)(3x-2)

belka [17]3 years ago
3 0
9x^3 + 9x^2y - 4x - 4y

= 9x^2(x + y) -4(x + y)

= (x +y)(9x^2-4)

= (x +y)(3x - 2)(3x + 2)
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4 0
3 years ago
Select all of the points that are solutions to the system of linear inequalities that is listed below 10x + 4y < 12 8x -3y &g
liberstina [14]

Answer:

(3, -8) and (2, -10)

Step-by-step explanation:

Given

10x + 4y < 12

8x - 3y > 20

Required

Select the true coordinate points in (3, -8) (2, 5) (-5, 1) (10, 3) (2, -10)

(3, -8)

x = 3 and y = -8

10x + 4y < 12

10 * 3 + 4 * -8 < 12

30 - 32 < 12

-2 < 12 --- True

8x - 3y > 20

8 * 3 - 3 * -8> 20

24 +24> 20

48> 20 --- True

(2, 5)

x = 2 and y = 5

10x + 4y < 12

10 * 2 + 4 * 5 < 12

20 + 20 < 12

40 < 12 --- False (No need to check the other inequality)

(-5, 1)

x = -5 and y = 1

10x + 4y < 12

10 * -5 + 4 * 1 < 12

-46 < 12 --- True

8x - 3y > 20

8 * -5 - 3 * 1 > 20

-43 > 20 --- False

(10, 3)

x = 10 and y = 3

10x + 4y < 12

10 * 10 + 4 * 3 < 12

112 < 12 --- False (No need to check the other inequality)

(2, -10)

x = 2 and y = -10

10x + 4y < 12

10 * 2 + 4 * -10 < 12

-20 < 12 --- True

8x - 3y > 20

8 * 2 - 3 * -10 > 20

46 > 20 --- True

Hence, the solution to the inequalities are:

(3, -8) and (2, -10)

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3 years ago
Engineers must design a process for producing ammonia in amounts large enough to ensure a reasonable profit. Which criterion wou
ki77a [65]

The process needs to meet the following criterion:The process must make large amounts of product at a low cost. That is option A.

<h3>What is ammonia?</h3>

Ammonia is defined as a gas compound that is made up of nitrogen and oxygen in the ratio of 1:3 respectively.

The industrial and modern method constructed by Engineers for ammonia production is called steam reforming.

The natural resources used for industrial production of ammonia can be gotten from natural gas such as methane.

To make profit, natural products are used which costs less to acquire but will lead to the production of large ammonia quantity.

Learn more about ammonia here:

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5 0
2 years ago
Charlie invested $12,000 into an
IrinaK [193]

Answer:

$1800

Step-by-step explanation:

12000(1+0.05x 3)

= 13800

13800 - 12000

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3 0
3 years ago
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vlabodo [156]

Answer:

C

Step-by-step explanation:

11 times 4 is 44 plus 5 is 49

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