Understanding Polynomial Functions - High School Math

Card 0 of 3

Question

Solve the following system of equations:

Answer

We will solve this system of equations by Elimination. Multiply both sides of the first equation by 2, to get:

Then add this new equation, to the second original equation, to get:

or

Plugging this value of back into the first original equation, gives:

or

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Question

It took Jack 25 minutes to travel 14 miles, what was Jack's average speed in mph?

Answer

$speed=\frac{distance}{time}$

$speed=\frac{14\ miles}{25\ minutes }$

* We have to change the time from minutes to hours, there are 60 minutes in one hour.

$speed= \frac{14\ miles}{25\ minutes} * \frac{60\ minutes}{1\ hour}$

$speed= 33.6\ mph$

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Question

Let $f(x)=3x^{2}-2$ and . Evaluate .

Answer

Substitute into , and then substitute the answer into .

$f(x)= 3x^{2}-2$

$f(5) =3(5)^{2}-2= 75 -2 = 73$

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