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Reptile [31]
3 years ago
13

Chris wants to create a rectangular rose garden in a yard. He has 32 meters of garden fencing to go around the garden and he has

to use it all.
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:8 feet on each side.

Since he is trying to make a rectangular shape, the garden has to have 4 sides (because a rectangle does). 32 meters of fencing/4 sides= 8 feet on each side.

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Write two different rational functions whose graphs have the same end behaviour as the graph of y=3x^2
baherus [9]

Answer:

               y=x^2+5x+20\\ \\ y=8x^2+35

Explanation:

The <em>end behavior</em> of a <em>rational function</em> is the limit of the function as x approaches negative infinity and infinity.

Note that the the values of even functions are the same for ± x. That implies that their limits for ± ∞ are equal.

The limits of the quadratic function of general form y=ax^2+bx+c as x approaches negative infinity or infinity, when a  is positive, are infinity.

That is because as the absolute value of x gets bigger y becomes bigger too.

In mathematical symbols, that is:

\lim_{x \to -\infty}3x^2=\infty\\ \\ \lim_{x \to \infty}3x^2=\infty

Hence, the graphs of any quadratic function with positive coefficient of the quadratic term will have the same end behavior as the graph of y = 3x².

Two examples are:

         y=x^2+5x+20\\ \\ y=8x^2+35

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