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sergij07 [2.7K]
3 years ago
13

If y is directly proportional to x^2 and y=18 and x=3,

Mathematics
1 answer:
Svetach [21]3 years ago
7 0

Answer:

Step-by-step explanation:

(i)

y=k*x^2\\\\if\ x=3, y=18 ==> 18=k*9\ ==> k=2\\\\Equation\ is:\ y=2x^2\\

(ii)

x=5 ==> y=2*5²=50

(iii)

32=2*x^2\\x^2=16\\x^2-4^2=0\\(x-4)(x+4)=0\\\\x=4\ or\ x=-4\\

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soldi70 [24.7K]

Answer:

<h2>x\leq -  \frac{8}{15}</h2>

Step-by-step explanation:

<h3>2x \leq -  \frac{2}{7} (8x + 8)</h3>

<u>First of all multiply through by 7</u>

We have

<h3>14x\leq - 2(8x + 8)</h3>

<u>Expand the terms in the bracket</u>

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<u>Add 16x to both sides</u>

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<h3>14x + 16x\leq16x - 16x - 16 \\30x\leq - 16</h3>

<u>Divide both sides by 30</u>

We have the final answer as

<h3>x\leq -  \frac{8}{15}</h3>

Hope this helps you

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