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tigry1 [53]
3 years ago
15

What are the solutions to the following system of equations? Select the correct answer. y=x^2-4x+8 4x+y=12

Mathematics
2 answers:
Murrr4er [49]3 years ago
8 0
Reduce the second equation to y= -4x + 12, then subtract the two equations. (Quadratic on top), to get y=x^2 -4. Then, plug in an x,y coordinate if you have one.
lorasvet [3.4K]3 years ago
7 0
Y=x^2-4x+8 and 4x+y=12 so y=12-4x, insert y in the quadratic to get
12-4x=x^2-4x+8
12=x^2+8
0=x^2-4=(x-2)(x+2)
So the solutions are x=2 and x=-2.
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Answer:

  •  Total\ amount\ of\ water\approx720\ ml (Estimation)
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Step-by-step explanation:

<h3> The complete exercise is:</h3><h3> "At breakfast, he drinks 237 milliliters. At lunch, he drinks 300 milliliters. At dinner, he drinks 177 milliliters. Estimate the total amount of water Rogelio drinks. Then, find the actual amount of water he drinks at all three meals."</h3>

In order to estimate the total amount of water Rogelio drinks at all three meals, you need to follow these steps:

1. Round 237 milliliters and 177 milliliters to the nearest Tens place.

If the digit in the Ones place is less than 5, you must round down.

If the digit in the Ones place is greater than or equal to 5, you must round up.

Then:

237\ ml\approx240\ ml\\\\177\ ml\approx180\ ml

2. Add 240 milliliters, 300 milliliters and 180 milliliters:

Total\ amount\ of\ water\approx240\ ml+300\ ml+180\ ml\approx720\ ml

In order to  find the actual amount of water Rogelio drinks at all three meals, just add 237 milliliters, 300 milliliters and 177 milliliters. This is:

Actual\ amount\ of\ water=237\ ml+300\ ml+177\ ml=714\ ml

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