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Dimas [21]
3 years ago
10

Solve the following equation: x^3 -168 = [24(x-2)] / 2 PLEASE REPLY ASAP

Mathematics
1 answer:
Nataly_w [17]3 years ago
7 0
Hi Larry

x^3 - 168 = [ 24(x-2)] / 2
x^3 - 168 = (24x - 48)/2
x^3 - 168 = 12x - 24
Subtract 12x - 24 to both sides
x^3 - 168 - (12x - 24) = 12xx - 24 - (12x - 24)
x^3 - 12x - 144 = 0
Now, factor the left sides
(x - 6)(x^2 + 6x + 24) = 0
Set factors equal to 0
x - 6 = 0 or x^2 + 6x + 24 = 0
x = 0 + 6 or x^2 + 6x + 24 - 0
x = 6
Answer : X = 6

Good luck !
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Answer: The solution is (3, -2)

This means that x = 3 and y = -2 pair up together.

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Explanation:

The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).

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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation

y = (-5/3)x + 3

y = (-5/3)*3 + 3

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The first equation is confirmed. Let's check the second equation

y = (1/3)x - 3

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Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.

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3 years ago
A fish tank has 240240240 quarts of water. Levi adds another 120120120 quarts to the tank. How many gallons of water are in the
ArbitrLikvidat [17]

The 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

<h3>What is unit conversion?</h3>

It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, multiplication by a conversion factor.

We have a fish tank has 240 quarts of water.

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Total water in the tank = 240 + 120 = 360 quartz

To convert quartz to gallon, divide by 4

Total water in the tank = 360/4 = 90 gallons

Thus, the 90 gallons of water is in the fish tank if the fish tank has 240 quarts of water. Levi adds another 120 quarts to the tank.

Learn more about the unit conversion here:

brainly.com/question/14350438

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Step-by-step explanation:

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