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ElenaW [278]
3 years ago
5

For the equation -2(x+1) = 8, Caitlin distributes the 2 to get, -2x +2 = 8. Then she subtracts the 2 from both sides to get -2x

= 6. Lastly she divides both sides by -2 to get x =-3. Did Caitlin use the distributive property correctly?(Site 2)
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

No.

Step-by-step explanation:

She wronged in Step 2, -2x + 2 = 8 .

The correct way is :

-2(x+1) = 8

-2x <u>–</u> 2 = 8

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Solve G(x) for the given domain.<br> G(x) = 3x2 - 2x - 1<br> G(6) =
Elina [12.6K]

Answer:

95

Step-by-step explanation:

G(6)=3(6)^2-2(6)-1

=108-12-1

=95

8 0
3 years ago
Lori needs at least 12 liters of water to fill a water cooler. She has a container with 4.55 liters of
Stels [109]

Answer:

<u></u>

  • <u>Yes, she has enough water.</u>

Explanation:

To <em>estimate</em> the value, you can work with friendly numbers: numbers closed to the given numbers and with which you can perform easy mental calculations.

For example 4.55 may be rouned to 5, 4.85 may be rounded to 5, and 3.25 may be rounded to 3. That yields 5 + 5 + 3 = 13

Then, it seems you have about 13 liters. Is the final number equal or greater than 12 for sure?

To round 4.55 to 5 you increased the amount in 0.45, to round 4.85 to 5 you increased the amount by 0.15, and to round 3.25 to 3 you decreased the amount in 0.25.

What was the net change in your values: 0.45 + 0.15 - 0.25 = 0.60 - 0.25 = 0.35. Those are easy calculations that you can perform in your mind.

That means that you increased your total in less than 1 liter. Meaning that the final total is overestimated by 0.35, and that if you used the real amounts to make the calculations, the total will be still more than 12.

4 0
2 years ago
Write an equation for the direct variation (y varies directly with x) if y=12 when x=4.
Olegator [25]
Hdhssuejzzsxfffdfggfds
6 0
3 years ago
4 heyyyyyyy help me please
dolphi86 [110]

Answer:

16 runs

Step-by-step explanation:

16-6=10

3 0
3 years ago
Match each expression written in standard form to the equivalent expression in factored form
den301095 [7]

Answer:

1. 15x^7y^2 + 4x^3 => x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x => 3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy => 3xy(5x^6y + 2)

4. 15x^7 + 10y^2 => 5(3x^7 + 2y^2)

Step-by-step explanation:

To obtain the answer to the question, first let us factorise each expression. This is illustrated below:

1. 15x^7y^2 + 4x^3

Common factor is x^3, therefore the expression is written as:

x^3(15x^4y^2 + 4)

2. 15x^7y^2 + 3x

Common factor is 3x, therefore the expression is written as:

3x(5x^6y^2 + 1)

3. 15x^7y^2 + 6xy

Common factor is 3xy, therefore the expression is written as:

3xy(5x^6y + 2)

4. 15x^7 + 10y^2

Common factor is 5, therefore the expression can be written as:

5(3x^7 + 2y^2)

4 0
3 years ago
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