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USPshnik [31]
3 years ago
6

What is the justification for each step in the solution of the equation?

Mathematics
2 answers:
Alexandra [31]3 years ago
5 0

For this case we have the following equation:

\frac{2}{3}x-\frac{1}{3}= 2 (x + 2)\\

If we multiply both sides of the equation by 3 we get:

2x-1 = 6 (x + 2) ---> Multiplication Property of Equality

Applying the distributive property we have:

2x-1 = 6x + 12 ---> Distributive Property

Adding 1 on both sides of equality we have:

2x-1 + 1 = 6x + 12 + 1\\

2x = 6x + 13 ---> Addition Property of Equality

Subtracting 6x on both sides we have:

-6x + 2x = 6x-6x + 13\\

-4x = 13 ---> Subtraction Property of Equality

Finally, dividing by -4 on both sides we have:

\frac{-4x}{-4}= \frac{13}{-4}\\

x = -\frac{13}{4}---> Division Property of Equality


adoni [48]3 years ago
3 0

Answer:

2/3x - 1/3 = 2(x + 2)          Given

2x - 1 = 6(x + 2)          Multiplication or Division Property of Equality

2x - 1 = 6x + 12         Distributive Property

2x = 6x + 13          Addition or Subtraction Property of Equality

-4x = 13          Addition or Subtraction Property of Equality

x = -13/4         Multiplication or Division Property of Equality


I took the test, you can trust these answer are correct.

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Under which of the following conditions will the FIFO method of process costing result in the same amount of cost being transfer
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Answer:

I hope you have a wonderful day!

Step-by-step explanation:

I hope this makes your day :))

8 0
2 years ago
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Rewrite the expression with rational exponents as a radical expression.
nexus9112 [7]

Answer:

If the expression is 4x^\frac{3}{7}, then the answer is the first option.

If the expression is (4x)^\frac{3}{7}, then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form \sqrt[n]{x}, you can rewrite as:

=x^\frac{1}{n}

Then:

- If the expression is 4x^\frac{3}{7}, then you can rewrite it in the following radical form:

=4\sqrt[7]{x^3} (This form matches with the first option.)

- If the expression is (4x)^\frac{3}{7}, then you can rewrite it in the following radical form:

=\sqrt[7]{(4x)^3} (This form matches with the third option).

7 0
2 years ago
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What factors multiply to -80 and add to 6
forsale [732]

80 = -1(80), -2(40), -4(20), -5(4),

Total answers include: -81, 79, -42, 16, -9, and 1.

None of them add up to 6!

Are you doing polynomial equations?

If so, you can solve it the hard way.

x^2 + 6x -80 = 0

(x^2 + 6x + 9) - 80 = 9

(x+3)^2 = 89

(x+3) = 9.43

x = 6.43

If you're not doing those then I'm afraid your question has no answer.

Hope that helps!



7 0
3 years ago
HELP IM IN DESPERATE NEED!!!<br> What is the solution to this system of equations?
Paladinen [302]

[Given]

{ x + y = 6

{ x = y + 4

[Plug-in our x value & solve]

[Given] x + y = 6

[ Plug-in] (y + 4) + y = 6

[Distribute] y + 4 + y = 6

[Combine like terms] 2y + 4 = 6

[Subtract 4 from both sides] 2y = 2

[Divide both sides by 2] y = 1

[Answer]

Third option - (5, 1)

-> You do not need to solve for x since this is the only option that has y = 1, but to solve for x we would do y + 4 = 1 + 4 = 5, so this answer fully checks correctly

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

     ★ Also please leave the rating you think I deserve (It helps other users as well as myself)

- Heather

6 0
2 years ago
What is the surface area of a sphere with a radius of 19 units?
almond37 [142]

Hope this helps. Please mark brainliest if it did

Answer: 4536.46

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2 years ago
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