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2 years ago

2(x + 2) – 4x = 12 Solve for x in the equation below.

Mathematics

2 answers:

Phoenix [80]2 years ago

7 0

Hello :D

Answer:

X=-4

The answer should have a negative sign.

Step-by-step explanation:

Distributive property

↓

A(B+C)=AB+AC

Expand the form.

$2(x-2)-4x=-2x+4$

$-2x+4=12$

Then, you subtract by 4 both sides of an equation.

$-2x+4-4=12-4$

Subtract the numbers from left to right.

$12-4=8$

$-2x=8$

Divide by -2 both sides of an equation.

$\frac{-2x}{-2}=\frac{8}{-2}$

Finally, you divide by the numbers from left to right to find the answer.

$8\div-2=-4$

X=-4 is the correct answer.

Hope this helps you!

Have a wonderful day! :D

Illusion [34]2 years ago

4 0

Answer:

x = -4

Step-by-step explanation:

Distribute 2 inside the parentheses

$2\times x = 2x\\ 2\times2=4\\ 2x+4 - 4$

Combine like terms

$-4x + 2x = -2x + 4 = 12$

Subtract 4 from both sides

-2x = 8

x = -4

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Sphinxa [80]

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2 years ago

Find the area of the shape below. Break the larger shape into smaller pieces if needed.

NikAS [45]

Answer:

116 Sq inches

Step-by-step explanation:

3×area of rectangle (l× b) + 2 area of triangle (1/2 b h)

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5 0

2 years ago

Gabriel invested $900 in an account paying an interest rate of 3 1/4 % compounded daily. Daniel invested $900 in an account payi

Helen [10]

Answer:

$40

Step-by-step explanation:

The earnings of Gabriel can be calculated with the formula:

P = Po * (1 + r/n)^(nt)

Where P = 900, r = 0.0325, n = 365 and t = 19

So we have:

P = 900 * (1 + 0.0325/365)^(365*19) = $1,668.81

The earnings of Daniel can be calculated with the formula:

P = Po * e^(rt)

Where Po = 900, r = 0.03375 and t = 19

So we have:

P = 900 * e^(0.03375*19) = $1,708.97

So the amount that Daniel will have more than Gabriel is:

1708.97 - 1668.81 = $40.16

Rounding to nearest dollar, the difference is $40

3 0

2 years ago

Consider the vector add = a + b = [13 12 11 10 10] and sub = a - b = [-11 - 6 - 14 8]. Find the vector a and b.

prisoha [69]

Answer:

a = [1 3 5 7 9] and b = [12 9 6 3 1]

Step-by-step explanation:

The addition of two vectors a and b is defined as

a + b = [13 12 11 10 10] .... (1)

The subtraction of two vectors a and b is defined as

a - b = [-11 - 6 - 1 4 8] .... (2)

After adding (1) and (2), we get

(a + b) + (a - b)= [13 12 11 10 10] + [-11 - 6 - 1 4 8]

On simplification we get

2a = [13-11 12-6 11-1 10+4 10+8]

2a = [2 6 10 14 18]

Divide both sides by 2.

a = [1 3 5 7 9]

Substitute the value of vector a in equation (1).

[1 3 5 7 9] + b = [13 12 11 10 10]

Subtract vector a from both sides.

b = [13 12 11 10 10] - [1 3 5 7 9]

On simplification we get

b = [13-1 12-3 11-5 10-7 10-9]

b = [12 9 6 3 1]

Therefore the vectors a and b are defined as a = [1 3 5 7 9] and b = [12 9 6 3 1].

4 0

2 years ago