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lions [1.4K]
3 years ago
12

A red candle is 8 inches tall and burns at a rate of 7/10 inch per hour. a blue cans is 6 inches tall and burns at a rate of 1/5

inch per hour. after how many hours will both candles be the same height whats the answer
Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Set it up as a function:

Y = 8 - (7/10)x

Y = 6 - (1/5)x


Y is the height.

Set the equations equal to each other and solve for x.


8 - (7/10)x = 6 - (1/5)x

8 - (5/10)x = 6

- (1/2)x = 6 - 8

-(1/2)x = -2

x=4 hours


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Jessie has rewritten the quadratic equation x2-32x +54 -0 in the form (-p) = 202. What is the value of p in the rewritten equati
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Given:

The quadratic equation is:

x^2-32x+54=0

It can be written as -p=202.

To find:

The value of p in the rewritten equation.

Solution:

We have,

x^2-32x+54=0

Isolate the constant term.

We need to make 202 on the right side. So, add 256 on both sides.

x^2-32x+256=-54+256

x^2-32x+256=202

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Let -x^2+32x-256=p, then

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The given equation can be written as:

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Adding 148 on both sides, we get

54+148=-x^2+32x+148

202=-(x^2-32x-148)

Let x^2-32x-148=p, then

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