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3 years ago

Graph the function.

Mathematics

1 answer:

disa [49]3 years ago

3 0

Answer:

Line passing through $(0,2),(1,-21)$ .

Step-by-step explanation:

$y=-23x+2\\at\ y\ axis\ x=0\\y=-23\times0+2\\y=2$

hence this line passes through $(0,2)$ .

When $x=1$

$y=-23\times1+2\\y=-21$

Hence this line passes through $(1,-21)$ .

Graph is attached.

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Answer:

Step-by-step explanation:

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RUDIKE [14]

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i.e.

$xy = 288 \\ \\ \\ \\ \Rightarrow y= \frac{288}{x}$

Substituting for y into the equation for the length of fencing needed, we have

$P=x+2\left( \frac{288}{x} \right)=x+ \frac{576}{x}$

For the amount of fencing to be minimum, then

$\frac{dP}{dx} =0 \\ \\ \Rightarrow1- \frac{576}{x^2} =0 \\ \\ \Rightarrow \frac{576}{x^2} =1 \\ \\ \Rightarrow x^2=576 \\ \\ \Rightarrow x=\sqrt{576}=24$

Now, recall that

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