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schepotkina [342]
3 years ago
8

An electrician cuts a 136 ft long piece of cable. One piece is 16 feet less than 3 times the length of the other piece. Find the

length of each piece
Mathematics
1 answer:
Brrunno [24]3 years ago
7 0
One piece is 36 ft and the other is 98 ft. 36 +98= 136 ft. also one piece (38) times 3 is 114 minus 16 is 98. That should be correct. If it is, could you please mark me as brainliest? I can also try to explain further
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<h2>Steps</h2>

So to find the solutions, I will be factoring by grouping. Firstly, what two terms have a product of 12x² and a sum of -8x? That would be -2x and -6x. Replace -8x with -2x - 6x:

4x^2-2x-6x+3=0

Next, factor 4x² - 2x and -6x + 3 separately. Make sure that they have the same quantity on the inside of the parentheses:

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Now you can rewrite it as:

(2x-3)(2x-1)=0

Now, apply the zero product property and solve:

2x-3=0\\2x=3\\x=\frac{3}{2}\ \textsf{OR}\ 1.5\\\\2x-1=0\\2x=1\\x=\frac{1}{2}\ \textsf{OR}\ 0.5

<h2>Answer</h2>

<u>In short, x = 3/2 (1.5) and 1/2 (0.5).</u>

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