What is 144÷8 in distributive property

Problem 3

Ilia_Sergeevich [38]

Problem 1 Answer: $x=10$

Simplify both sides of the equation

$(2)(x)+(2)(-3)=14(Distribute)$

$2x+-6=14$

$2x-6=14$

Add 6 to both sides

$2x-6+6=14+6$

$2x=20$

Divide both sides by 2

$2x/2=20/2$

$x=10$

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Problem 2 Answer: $x=-7$

Simplify both sides of the equation

$(-5)(x)+(-5)(-1)=40(Distribute)$

$-5x+5=40$

Subtract 5 from both sides

$-5x+5-5=40-5$

$-5x=35$

Divide both sides by -5

$-5x/5=35/-5$

$x=-7$

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Problem 3 Answer: $x=-8$

Simplify both sides of the equation

$(12)(x)+(12)(10)=24(Distribute)$

$12x+120=24$

Subtract 120 from both sides

$12x+120-120=24-120$

$12x=-96$

Divide both sides by 12

$12x/12=-96/12$

$x=-8$

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Problem 4 Answer: $x=-1/2$

Move all terms to the left:

$2(x+6)-(11)=0$

Multiply parentheses

$2x+12-11=0$

Add all the numbers together, and all the variables

$2x+1=0$

Move all terms containing x to the left, all other terms to the right

$2x=-1\\x=-1/2$

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Problem 5 Answer: $x = 44$

3 0

3 years ago

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A circular mirror is surrounded by a square metal frame. The radius mirror is 6x the side length of the medal frame is 18x. What

wolverine [178]

Answer:

Step-by-step explanation:

Given:

Radius of circular mirror, r = 6x

Length of metal frame, l = 18x

Area of square, As = l^2

Area of square = 18x × 18x

= 324 x^2.

Area of circular mirror, Ac = pi × r^2

= π × (6x)^2

= 36π x^2.

The expression for the area of the frame is subtracting the mirror from the metal frame = As - Ac

= 324x^2 - 36πx^2

= 36x2 (9 - π).

4 0

3 years ago

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X f(x) -2 -1/200 -1 -1/20 0 -1/2 1 -5 2 -50

Hitman42 [59]

9514 1404 393

Answer:

f(x) = -1/2·10^x

Step-by-step explanation:

The y-intercept is -1/2.

The common ratio is (-1/20)/(-1/200) = 10, so the exponential function can be written as ...

f(x) = -1/2·10^x

6 0

3 years ago

Simplify 9y+2y-5y please answer

Brums [2.3K]

Answer:

$9y+2y-5y=6y$

Step-by-step explanation:

So we have the expression:

$9y+2y-5y$

To simplify, simply combine the like terms. Therefore:

$9y+2y-5y\\=11y-5y\\=6y$

Further notes:

To understand why we can combine like terms in the first place, we just need to use the distributive property. So we have the expression:

$9y+2y-5y$

Now, factor out a y from the three terms:

$=y(9+2-5)$

Do all the operations inside the parenthesis:

$y(9+2-5)\\=y(11-5)\\=y(6)=6y$

And we moved the y back to the front!

This is the same result as before. When combining like terms, this is what we're essentially doing but without doing the distributive property manually. I hope you understand a bit better on how and why we can combine like terms!

7 0

3 years ago

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Show Graph with the solution for 2x+3>-9

kicyunya [14]

Answer:

I can't graph on this but x > -6

To graph you should draw a vertical (up and down) dotted line, and shade the graph to the right of the line.

Step-by-step explanation:

2x+3>-9 Subtract 3 from both sides of the inequality.

2x> -12 Divide both sides by 2

x> -6

3 0

4 years ago

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