What is the factored form of 16x2 – 16x – 12?

1 answer:

8 0

Q1. The answer is 4(2x - 3)(2x + 1)

16x² – 16x – 12 = 4 * 4x² - 4 * 4x - 4 * 3 =
= 4(4x² - 4x - 3) =
= 4(4x² + 2x - 6x - 3) =
= 4(2x * 2x + 2x - (2x * 3 + 3)) =
= 4(2x(2x + 1) - (3(2x + 1))) =
= 4((2x + 1)(2x - 3)) =
= 4(2x - 3)(2x + 1)

Q2. The answer is 3(x + 8)(x - 1)

3x² + 21x – 24 = 3 * x² + 3 * 7x - 3 * 8 =
= 3(x² + 7x - 8) =
= 3(x *x - x + 8x - 8) =
= 3((x(x - 1) + 8(x - 1)) =
= 3(x + 8)(x - 1)

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Hey can you please help me with 8 and 10 :)

insens350 [35]

8) So remember the sum of all angles inside a triangle is equal to 180°. We first want to figure out the angle below the 110°.

A straight line is 180° so if we do 180 - 110 we get 70° therefore the angle below the 110° is 70°.

So we now know two angles in the triangle, 70° and 80°. Add these and we get 150°. Now we can determine the final angle (the one labelled (2x - 6)) which will be 30°.

So let’s make it into an equation:

2x - 6 = 30

Add 6 to both sides to isolate 2x:

2x = 36

Divide by 2 to get the value of x:

x = 18

10) Since the sum of all angles in a triangle is 180, and there are only 3 angles, we can determine A easily.

B = 10°
C = 160°

So to determine A:

180 - 160 - 10

Which gives us 10

Therefore A = 10°.

So the answers:

8) x = 18
9) A = 10°

I hope this helps you!!

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2 years ago

Which relation is a function?

Step2247 [10]

{(2, 3), (1, 5), (2, 7)} - NOT because 2->3 and 2->7
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{(3, 8), (0, 8), (3, -2)} - NOT because 3->8 and 3->-2

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2 years ago

If 7 less than 4 times a number is two more than that number, what is the result when the number is subtracted from 50?

Tasya [4]

Answer:

4x-7=x+2

3x=9

x=3

3-50=-47

Step-by-step explanation:

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2 years ago