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DENIUS [597]
3 years ago
9

Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

Mathematics
2 answers:
gladu [14]3 years ago
8 0
Problem one: 5x - 4 = -2(3x + 2)
Use the distributive property to calculate what's in the parentheses
5x - 4 = -6x - 4
Add 4 to both sides
5x = -6x
(From here you can say x = 0 but here's a few final steps if you want)
Add 6 x to both sides
11x = 0
Divide both sides by 11
X=0
---------------------------------------------
Problem 2: Megan's solution

Megan correctly distributed the parentheses in her first step
Megan errored when she ADDED 5x to the left side but SUBTRACTED 5x from the right side in her third line
From that error she correctly finished the problem, but due to her error she got the wrong answer
The correct answer is x=11

lesya692 [45]3 years ago
7 0

When you use the Distributive Property, we will find...
5x - 4 = -6x - 4
Eliminate 4 by adding it to both sides.
5x = -6x
Add 6x to both sides and we get 11x = 0.
11x = 0
Divide both sides by 11.

x=0

The only mistake Megan made was when adding 5x with Megan accidentally subtracting 5x from the other side.

For this problem:
3(2x − 4) = 5x − 1
Distribute
6x - 12 = 5x - 1
Add 1 to both sides
6x - 11 = 5x
Subtract 6x from both sides
-11 = -x
Divide both sides by -1.
x = 11.

Hope this helps! Like this answer? Give it a Brainiest reward if so.

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What is the point of intercection of lines y=x and y=2x+1
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Answer:

(-1, -1)

Step-by-step explanation:

Let's set these two equations equal to each other to solve the system:

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Thus, the point of intersection is (-1, -1).

Hope this helps!

8 0
3 years ago
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mrs_skeptik [129]
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5 0
3 years ago
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If h(x) = (fºg)(x) and h(x)= 5(x+1)^3 find one possibility for f (x) and g(x).
viktelen [127]

Answer:

One possibility is that;

g(x) = (x + 1)

while h(x) = 5x^3

Step-by-step explanation:

Here, we are told to find one possibility for f(x) and g(x)

The term h(x) = (Fog)(x) means that we are inserting g(x) into f(x) to give h(x)

Now let’s have it this way;

We can see that g(x) = (x + 1) , then h(x) = 5x^3

This is one possibility of the values of g(x) and h(x)

6 0
3 years ago
in 2001, the population in a town was 12% more than it was in 2000. if the population was 25,160 in 2002, which is 10% more than
blagie [28]
2002=25,160
2001=22,644
2000=19,926.72 (need to round to 19,926)
2001:
25,160/10=2516
25,160-2516

2000:
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2,264.4/5=452.88 (2%)
2,264.4+452.88=2717.28 (12%)
22,644-2717.28=19.926.72
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3 years ago
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