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kiruha [24]
3 years ago
14

What is the value of x in:3x + 2(x + 1) = 12?A.12B.6 C.10D.2​

Mathematics
2 answers:
choli [55]3 years ago
5 0

Answer:

D

Step-by-step explanation:

3x + 2(x + 1) = 12 ← distribute and simplify left side

3x + 2x + 2 = 12

5x + 2 = 12 ( subtract 2 from both sides )

5x = 10 ( divide both sides by 5 )

x = 2 → D

Brut [27]3 years ago
3 0

d .2

d will be the answer

by simplify

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Answer:

4.5 minutes

Step-by-step explanation:

first convert 3/4 to a decimal so you can multiply it which would be .75

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4.5

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The volume of the pyramid is 448m^3

(16)(12)(7)/3

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I need help putting this in corresponding factored form. I got two wrong but I’m not sure how to do it and show my work.
Anna11 [10]

Answer:

x^2-16 goes with (x+4)(x-4)

x^2+10x+16 goes with (x+8)(x+2)

Step-by-step explanation:

The first one you got wrong is known as a difference of squares.

To factor a difference of squares, a^2-b^2, you just write it as (a-b)(a+b) or (a+b)(a-b) would work too.

So x^2-16=(x-4)(x+4) or (x+4)(x-4).

Let's check (x+4)(x-4) using foil!

First: x(x)=x^2

Outer: x(-4)=-4x

Inner: 4(x)=4x

Last: 4(-4)=-16

----------------------Add

x^2-16

Bingo! (x+4)(x-4) definitely corresponds to x^2-16.

Here are more examples of factoring a difference of squares:

Example 1:  x^2-25  = (x+5)(x-5)

Example 2: x^2-81   = (x+9)(x-9)

Example 3: x^2-100 =(x+10)(x-10)

Onward to the next problem:

x^2+10x+16

When the coefficient of the leading term of a quadratic is 1, all you have to do is find two numbers that multiply to be c=16 and add up be b=10.

Those numbers would be 8 and 2

because 8(2)=16 and 8+2=10.

So the factored form of x^2+10x+16 is (x+2)(x+8) or (x+8)(x+2).

Here is another example of when the leading coefficient of a quadratic is 1:

Example 1:  x^2+5x+6=(x+2)(x+3) since 3(2)=6 and 3+2=5.

Example 2: x^2-x-6=(x-3)(x+2) since -3(2)=-6 and -3+2=-1.

5 0
2 years ago
Solve for y.<br><br> –5(y − 3) − 10 = –6y<br><br> y =
Naya [18.7K]

Answer:

y =  - 5

Step-by-step explanation:

- 5(y - 3) - 10 =  - 6y

➡️ - 5y + 15 - 10 =  - 6y

➡️ - 5y + 5 =  - 6y

➡️ - 5y + 6y =  - 5

➡️ y =  - 5

7 0
3 years ago
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