## Evaluate the function ,when D = {9, 15, 30}.

The answer is R={6, 10, 20}

## 8 - x = 2x - 1 = I know this is probably super easy but I just can't remember the process on how to figure this out.Help?

1) subtract 8 from both sides

2) subtract 2x from both sides

3) divide both sides by (-3)

## A rectangular field has dimensions of (2x-3) yards and (x+4) yards. the area of the field is 285 square yards. what are the length and width of the field?

The area of a rectangle is given by the multiplication of its dimensions:

In this case, we have an exact value for the area, and two variable expressions for width and length. Let's replace the formula above with what we're given:

If you expand the right hand side, you have

And if you move all terms to the right hand side, this becomes

This is a quadratic equation, since it is in the form , where

If you plug these values in the generic formula

you get

Let's see which dimensions they yield:

But the dimensions of a rectangle can't be negative, so we can't accept this answer.

The other solution yields

So these are the dimensions of the rectangle

## What is the graph of the function? f(x) = 2x^2

Therefore, relation between y and X :

y proportional to x^2

Therefore graph will be a Parabola Opening upwards.

## Which of the following is true about a nonlinear function? It has a constant rate of change. It can be curved. It looks like a straight line. It must cross the origin.

## T is the midpoint of AE. AT=4x-3 and TE= 2x+7, find the length of AE

If T is the midpoint, then that means its exactly 1/2 of the way between 2 points

this means we can set the 2 given values equal

4x - 3 = 2x + 7

first move like terms to the same side

2x = 10

x = 5

now that we know the length of x, we plug it back in to get the length

4x - 3 + 2x + 7 = 6x + 4

6(5) + 4 = **34**