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3 years ago

15

Write the equation ∣4−r/3∣=7 as two separate equations, and enter each equation in its own answer box below. Neither of your equ

ations should use absolute value.

1 answer:

Naddik [55]3 years ago

6 0

Answer:

4 - r/3 = 7 and 4 - r/3 = -7

Step-by-step explanation:

absolute value equations get split into a positive equation and a negative equation

4 - r/3 = 7 and 4 - r/3 = -7

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How many pairs of whole numbers have a sum of 99?

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There are 50 pairs of whole numbers

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At the amusement park, you decide to ride the Ferris wheel, which has a maximum height of 50 meters and a diameter of 35 meters.

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Read 2 more answers

Answer, please. I need help.

Ghella [55]

Answer:

-8x^12

Step-by-step explanation:

When you have an exponent outside of parenthesis, it is raising everything in the parenthesis to that exponent (in this case, the third). The first step to solve this is to multiply the exponents in the parenthesis by 3. This is called the power of a power rule.

-2 is being raised to the first power. 1x3 = 3, and x is being raised to the fourth power. 4x3 = 12, so you now have:

-2^3x^12

You can simplify -2^3: -2 x -2 x -2 = -8

This leaves you with -8x^12

You can check this by putting -8x^12 and (-2x^4)^3 into a graphing calculator. You know that you simplified correctly if they show the same graphs.

7 0

2 years ago

5(x-3)+7(2-x)-4(2x+7)-3x+2=11-8(x-7)+4x-(6-5x)+8-2x

PSYCHO15rus [73]

Answer:

x=-8

Step-by-step explanation:

Simplifying

5(x + -3) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

5(-3 + x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-3 * 5 + x * 5) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

(-15 + 5x) + 7(2 + -1x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (2 * 7 + -1x * 7) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + (14 + -7x) + -4(2x + 7) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 5x + 14 + -7x + -4(7 + 2x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (7 * -4 + 2x * -4) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

-15 + 5x + 14 + -7x + (-28 + -8x) + -3x + 2 = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-15 + 14 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -15 + 14 = -1

-1 + -28 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -1 + -28 = -29

-29 + 2 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -29 + 2 = -27

-27 + 5x + -7x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: 5x + -7x = -2x

-27 + -2x + -8x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -2x + -8x = -10x

-27 + -10x + -3x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Combine like terms: -10x + -3x = -13x

-27 + -13x = 11 + -8(x + -7) + 4x + -1(6 + -5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + -8(-7 + x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (-7 * -8 + x * -8) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + (56 + -8x) + 4x + -1(6 + -5x) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (6 * -1 + -5x * -1) + 8 + -2x

-27 + -13x = 11 + 56 + -8x + 4x + (-6 + 5x) + 8 + -2x

Reorder the terms:

-27 + -13x = 11 + 56 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 11 + 56 = 67

-27 + -13x = 67 + -6 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 67 + -6 = 61

-27 + -13x = 61 + 8 + -8x + 4x + 5x + -2x

Combine like terms: 61 + 8 = 69

-27 + -13x = 69 + -8x + 4x + 5x + -2x

Combine like terms: -8x + 4x = -4x

-27 + -13x = 69 + -4x + 5x + -2x

Combine like terms: -4x + 5x = 1x

-27 + -13x = 69 + 1x + -2x

Combine like terms: 1x + -2x = -1x

-27 + -13x = 69 + -1x

Solving

-27 + -13x = 69 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.

-27 + -13x + x = 69 + -1x + x

Combine like terms: -13x + x = -12x

-27 + -12x = 69 + -1x + x

Combine like terms: -1x + x = 0

-27 + -12x = 69 + 0

-27 + -12x = 69

Add '27' to each side of the equation.

-27 + 27 + -12x = 69 + 27

Combine like terms: -27 + 27 = 0

0 + -12x = 69 + 27

-12x = 69 + 27

Combine like terms: 69 + 27 = 96

-12x = 96

Divide each side by '-12'.

x = -8

Simplifying

x = -8

5 0

3 years ago

Which equation matched the graph ?

Nady [450]

D. y - 2 = -3(x - 2)

8 0

2 years ago