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jonny [76]
3 years ago
8

Solve the equation. Check for extraneous solutions.

rmula1" title="2|7-7x|=2x+4 " alt="2|7-7x|=2x+4 " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Contact [7]3 years ago
8 0

Answer: The answer is \dfrac{5}{8},~\dfrac{3}{2} and no extraneous solution.

Step-by-step explanation: The given equation is

2|7-7x|=2x+4.

We are given to solve this equation and also find its extraneous solution.

The solution is as follows:

2|7-7x|=2x+4\\\\\Rightarrow |7-7x|=x+2\\\\\Rightarrow 7-7x=x+2,~~~~~-7+7x=x+2\\\\\Rightarrow 8x=5,~~~~~~~~~~~~~~~~\Rightarrow 6x=9\\\\\\\Rightarrow x=\dfrac{5}{8},~~~~~~~~~~~~~~~~~\Rightarrow x=\dfrac{3}{2}.

now, for x=\dfrac{5}{8}, we have

L.H.S.=2|7-7\times \dfrac{5}{8}|=\dfrac{21}{4},\\\\R.H.S.=2\times\dfrac{5}{8}+4=\dfrac{21}{4}.

So, this solution is not extraneous.

For x=\dfrac{3}{2}, we have

L.H.S.=2|7-7\times \dfrac{3}{2}|=7,\\\\R.H.S.=2\times\dfrac{3}{2}+4=7.

So, this solution is also not extraneous.

Hence, the solution is [tex]\dfrac{5}{8},~\dfrac{3}{2}[tex] and there is no extraneous solution.

lakkis [162]3 years ago
4 0
2(7-7x) = 2x + 4
14 - 14x = 2x +4
16x = 10
x = 10/16
x = 0.625


2[-(7-7x)] = 2x + 4
-14 +14x = 2x + 4 
12x = 18
x = 18/12
x = 1.5

answer:
solutions x = 0.625 and x = 1.5

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Read 2 more answers
Can someone help me with these
Trava [24]
Short answer
For 6: 72 ft^2
For 7: 650 m^2

Six
The base is a square. It's measurement is s = 4
Base = 4^2 
Base = 16 ft^2

One triangle 
A = 1/2 * b * h
A = 1/2 * 4 * 7
A = 14 tt^2

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Seven
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Area of 6 triangles
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Base
As near as I can tell, the base is a hexagon. It's using a rather out of the way method of drawing it. I will assume it is a regular hexagon. The area of a regular hexagon is 3 sqrt(3)/2 * S^2 where s is the side of the hexagon.

Area = 3sqrt(3)/2 s^2
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Area = 3sqrt(3)/2 10^2
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Total area
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Answer C <<<< answer 

I'll do one more in this batch and then you'll need to repost again.

Eight

If you draw two diagonals on the base of the figure, the intersection point will meet the base of the height. Read that a couple of times.
Join the intersection to the midpoint of the length of the square bottom.  You should get 3.5

x is found by using the pythagorean theorem.
h = 6
s = 3.5
x = ????

x^2 = 6^2 + 3.5^2
x^2 = 36 + 12.25
x^2 = 48.25
x = sqrt(48.25)
x = 6.95 

C <<<< answer

 


8 0
3 years ago
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SashulF [63]
17+6=23                that is the answer

3 0
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