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Ksenya-84 [330]
3 years ago
8

Convert the following quadratic equation to standard form: y= -2(x+3)^2+1

Mathematics
1 answer:
Savatey [412]3 years ago
4 0

Answer: -2x^2-12x-17

Step-by-step explanation:

-2(x+3)^2+1 Original equation

-2(x^2+3x+3x+9)+1 factor (x+3)(x+3)

-2x^2-12x-18+1 Multiply the factored part by -2

-2x^2-12x-17 Combine like terms

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3 years ago
A water delivery truck is filling the water tank at Morgan's house. The truck arrived with 2400 L of water. The number of liters
Luda [366]

Answer:

11.81 minutes

Step-by-step explanation:

Here is a simple step-by-step explaination of how to solve this word problem:

Since the truck has 2,400L in it to begin with, the first part of our equation will be 2,400L

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Next we know that the water in the truck decreases at a <u>rate</u> of 110L/min, or <u>Liters per minute</u>.

So we will put that in the equation:

L = -110L + 2400L

Now that we have our equation set up, its time to solve.

To figure out how much water it needs to lose in <u>total</u> to end up with 1100 L left, we subtract 1,100 from 2,400.

2,400 - 1,100= 1,300&#10;&#10;

Now we can take that number and divide it by how many liters per minute were lost.

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B. L=-110t + 2400, t=11.8 min

Hope this helps! : )

3 0
2 years ago
Read 2 more answers
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