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9966 [12]
3 years ago
6

Pre-Calculus? Parametric Functions?

Mathematics
1 answer:
katovenus [111]3 years ago
6 0
Notice that if you just plug in x=t into the equation for y, you end up with

\begin{cases}x=t\\y=3t^2-4\end{cases}\implies y=3x^2-4

You have to do the same thing with the given choices. For example, if

\begin{cases}x=2t\\y=12t^2-4\end{cases}

then we see that t=\dfrac x2, and plugging this into the second equation gives

y=12\left(\dfrac x2\right)^2-4=\dfrac{12x^2}4-4=3x^2-4

which matches the original set of parametric equations.

So the general strategy is to eliminate the parameter t by solving for it in each x(t) equation. Then substitute this result for the t in the corresponding y(t) equation, and see if it reduces to the same equation at the top.
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For f(x) = 2x – 3 find f(-1/4)
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Answer:

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Step-by-step explanation:

Put the argument where the variable is and do the arithmetic.

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  f(-1/4) = -(3 1/2)

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Lin's bike travels 100​ meters when her wheels rotate 55​ times. What is the circumference of her wheels? Round your answer to t
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Answer:

Using formula to calculate the circumference of wheel:

 

where

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C is the circumference of the wheel

As per the statement:

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here, n = 55 rotation and D = 100 meter.

then by definition:

meter

Therefore, the circumference of her wheel is, 1 9/11

Step-by-step explanation:

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3 years ago
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Read 2 more answers
Consider the figure in the diagram above. ABJK is a rectangle. There are two semicircles cut out of the rectangle. AB=8cm; AJ=18
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First find the area of the rectangle, then remove the circular area.

AB * AJ = 8 * 18 = 144 sq cm

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=\pi 4^{2}
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=50.24 sq cm

144 - 50.24 = 93.76 sq cm shaded area.
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