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PtichkaEL [24]
2 years ago
11

If (x - 4) varies inversely as (y + 3) and x = 8 when y = 2, what is x when y = - 1?

Mathematics
1 answer:
denpristay [2]2 years ago
3 0

Answer:

x=14

Step-by-step explanation:

If two values are inversely proportional, their product must be maintained. That way, if one value goes up, the other goes down by the same extent.

Therefore, if (x-4) and (y+3) vary inversely, their product will be the same for all values of x-4 and y+3.

Let x=8 and y=2 as given in the problem. Substitute values:

(8-4)(2+3)=(4)(5)=20

Hence, the maintained product is 20.

Thus, we have the following equation:

(x-4)(y+3)=20

Substitute y=-1 to find the value of x when y=-1:

(x-4)(-1+3)=20,\\(x-4)(2)=20,\\x-4=10,\\x=10+4=\boxed{14}

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The required equation of the line passing the coordinates will be y = 3/4x - 1/4

<h3 /><h3>Equation of a line</h3>

The standard equation of a line is expressed as y= mx + b

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Learn more on equation of a line here: brainly.com/question/18831322

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2 years ago
find the difference between the simple interest and compound interest on 2500 for 2 years at 4% per annum , compound interest be
EastWind [94]

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

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What is the value of 54-4a^2+3b^3 when a=-2 and b=4
max2010maxim [7]

2015-12-14T20:17:50+00:00If you would like to know what is the value of <span>54 - 4 * a^2 + 3 * b^3 </span>when a = -2 and b = 4, you can calculate this using the following steps:

54 - 4 * a^2 + 3 * b^3 = 54 - 4 * (-2)^2 + 3 * 4^3 = 54 - 4 * 4 + 3 * 64 = 54 - 16 + 192 = 230

If you would like to know what is the value of 54 - 4 * a^2 - 3 * b^3 when a = -2 and b = 4, you can calculate this using the following steps:

54 - 4 * a^2 - 3 * b^3 = <span>54 - 4 * (-2)^2 - 3 * 4^3 = 54 - 4 * 4 - 3 * 64 = 54 - 16 - 192 = -154</span>
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allochka39001 [22]
You forgot to provide the slope but here is how you do this 

the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
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=> y = 5x + 45  --- this will be your equation. 
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3 years ago
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