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aev [14]
4 years ago
10

In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first

step is to subtract 6x from both sides. Who is correct? Explain.
Mathematics
2 answers:
Sergeeva-Olga [200]4 years ago
8 0
If you would like to know who is correct, you can find this using the following step:

<span>6x - 2 = -4x + 2

Spencer: 
</span>6x - 2 = -4x + 2       /+4x
6x - 2 + 4x = -4x + 2 + 4x
10x - 2 = 2

Jeremiah:
6x - 2 = -4x + 2      /-6x
6x - 2 - 6x = -4x + 2 - 6x
-2 = -10x + 2

They both are correct. But in Jeremiah's version of solving the equation, we would have to multiply equation by -1 (or add 10x to both sides), which we don't have to do in the Spencer's version.
jeka57 [31]4 years ago
6 0

Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation.

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monitta
Hello,

What we want to do is multiply 1/6 by each value within the parentheses individually.

So, it would be:
(1/6) * (18x) = 3x
(1/6) * (-24) = -4

Together, this would be 3x-4.

Hope this helps!
4 0
3 years ago
Read 2 more answers
Calculate the average rate of change for the given function, from x = −3 to x = 7.
emmainna [20.7K]

Answer:

The average rate of change for the given function, from x = −3 to x = 7 will be:

  • Average rate = -5

Step-by-step explanation:

Given the table

x                      f(x)

-3                     50

3                      10

7                       0

As the interval is from x = -3 to x = 7.

so

at x₁ = -3, f(x₁) = 50

at x₂ = 7,  f(x₂) = 0

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                       = [0 - 50] / [7-(-3)]

                      = [-50] / [7+3]

                      = -50 / 10

                      = -5

Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:

  • Average rate = -5
6 0
3 years ago
Negative six and one third plus twenty over three
nydimaria [60]

Answer:

1/3

Step-by-step explanation:

-6+(-1/3)= -19/3

-19/3 + 20/3 = 1/3

6 0
4 years ago
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sweet [91]

Answer:

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Step-by-step explanation:

if u count 4•4=16 that means he didnt buy this table because it only seats 4 people

then if you count 6•6=36 that tells u he did not buy 7 tables he bought 6

6 0
3 years ago
I stuck on this answer help
slavikrds [6]

Answer:

Step-by-step explanation:

4 0
2 years ago
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