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3 years ago

What is the solution of 3 + x-2/x-3≤4

Mathematics

2 answers:

goldfiish [28.3K]3 years ago

7 0

Answer:

x < 3

Step-by-step explanation:

bagirrra123 [75]3 years ago

6 0

3+x-2/x-3≤4 Subtract on first side
1+x/x-3≤4 Take -3 to the first side
-2+x/x≤4 Take x to the second side
-2/2x≤4 x=-1 if 2x=-2
1≤4 X=1

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Solve for y: 5x-3y<75

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3 years ago

It is given that y varies inversely as x^2. If x is decreased by 50%, find the percentage change in y.

vova2212 [387]

Answer:

300%

Step-by-step explanation:

Given

$y\ \alpha\ \frac{1}{x^2}$

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

$y\ = \ \frac{k}{x^2}$

Where k is the constant of proportionality

When x decreased by 50%

$Y = \frac{k}{(x - 0.5x)^2}$

$Y = \frac{k}{(0.5x)^2}$

$Y = \frac{k}{0.25x^2}$

Expand

$Y = \frac{1}{0.25} * \frac{k}{x^2}$

Substitute $\frac{k}{x^2}$ for y

$Y = \frac{1}{0.25} * y$

$Y = 4 * y$

$Y = 4 y$

The percentage change is then calculated as:

$\%Change = \frac{Y - y}{y} * 100\%$

$\%Change = \frac{4y - y}{y} * 100\%$

$\%Change = \frac{3y}{y} * 100\%$

$\%Change = 3 * 100\%$

$\%Change = 300\%$

The percentage in y is 300%

7 0

3 years ago