
Substitue 2x for y in the second equation:

Rearrange to

form:

Factor:

Zeros are

and

To find y-coordinates of pts of intersection, plug these x-values into first equation to get

and
If you are translating a graph (-2,5), the easiest way to find the new points is to subtract the x value of each coordinate (M, N, and O) by 2. This will give you the new x values for the translated coordinates. Then, to find the new y values, add 5 to the y values of each coordinate. Then put the new x value and new y value in the form of a coordinate, and that will be your answer.
GIVEN
The following values are given:

SOLUTION
The z-score for the x values 9 and 14 can be calculated using the formula:

For x = 9:

For x = 14:

The probability can be calculated as follows:
![P(9\le x\le14)=Pr(-0.34The region that represents the solution is shown below:Therefore, the probability is given to be:[tex]P(9\le x\le14)=0.4671](https://tex.z-dn.net/?f=P%289%5Cle%20x%5Cle14%29%3DPr%28-0.34The%20region%20that%20represents%20the%20solution%20is%20shown%20below%3A%3Cp%3ETherefore%2C%20the%20probability%20is%20given%20to%20be%3A%3C%2Fp%3E%5Btex%5DP%289%5Cle%20x%5Cle14%29%3D0.4671)
The probability is 0.4671.