According to the associative property of equality: (a + b) + c = a + (b + c) we can see that the parenthesis do not mean anything when we are only doing addition.

So answers 1. and 3. are correct.

<em>Thanks Associative Property!</em>

6 0

3 years ago

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1. Solve -y/12 = 6<br> 2. Solve x/4 = 8

OlgaM077 [116]

1. Isolate the y. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

First, multiply 12 to both sides

-y/12(12) = 6(12)

-y = 6(12)

-y = 72

Isolate the y. Divide -1 from both sides

-y/-1 = 72/-1

y = -72

-72 is your answer for y

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2. Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.

x/4 = 8

First, multiply 4 to both sides

x/4(4) = 8(4)

x = 8(4)

x = 32

32 is your answer for x

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hope this helps

4 0

3 years ago

Divide and Check...........

kirill [66]

soo this may seem a little awkwark but it still should provide the same resault however its faster :)

so we have

(48x^5-16x^3+40x)/8x

What we are going to be doing is factoring out any and all possibilities for

(48x^5-16x^3+40x)

first factor

(8x(6x^4-2x^2+5))/8x

when we get to this step simplify 8x

we are left with 6x^4-2x^2+5

in order to get an answer that would often be used by long devision just get rid of the +5

This is just a remainder using long devision your instructer may ask for

6x^4-2x^2

Hope it helps

8 0

3 years ago

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Consider the following graph which represents the solutions to a system of inequalities. Which of the following systems of inequ

sergij07 [2.7K]

Answer:

The system of inequalities is -2x + y > 0 -x + y ≥ 0

Step-by-step explanation:

The form of the equation of a line is y = m x + b, where

m is the slope

b is the y-intercept

The line passes through the origin, then

The value of b = 0

The form of the equation is y = m x

Let us look at the graph to find the correct answer

∵ One of the lines are solid and the other is dashed

∵ The shaded area is over the two lines

∴ The signs of the two inequalities are ≥ and >

∵ The two lines pass through the origin

→ That means the y-intercepts are 0

∴ The form of the inequalities are y ≥ m $_{1}$ x and y > m $_{2}$

There are only two answers that have these forms, so we must find the slope of each line

∵ m = $\frac{y2-y1}{x2-x1}$ , (x1, y1) and (x2, y2) are two points on the line

∵ The solid line passes through points (0, 0) and (2, 2)

∴ m $_{1}$ = $\frac{2-0}{2-0}$ = $\frac{2}{2}$ = 1

→ Substitute it in the form of the equation

∴ y ≥ 1(x)

∴ y ≥ x

→ Subtract x from both sides

∴ -x + y ≥ 0

∵ The dashed line passes through points (0, 0) and (1, 2)

∴ m $_{2}$ = $\frac{2-0}{1-0}$ = $\frac{2}{1}$ = 2

→ Substitute it in the form of the equation

∴ y > 2(x)

∴ y > 2x

→ Subtract 2x from both sides

∴ -2x + y > 0

The system of inequalities is -2x + y > 0 -x + y ≥ 0

3 0

3 years ago

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