Step-by-step explanation:

Factor by grouping,

Complete the square, with the x variables,

Factor out 25 for the y variables

Complete the square

Simplify the perfect square trinomial

Make the right side be 1 so divide everything by 25.

Here our center is (7,2).
Answer:

Step-by-step explanation:
Given
See attachment
Required
The probability that a 7th grader selected will play guitar.
From the attachment, we have:


7th graders that can play guitars are:

So, the probability is:


Answer: A
Step-by-step explanation:
The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.
50 represents pounds per/box
x represents the number of boxes you can hold
400 represents the weight of the piano
1600 represents the max weight.
The answer would be (The two ranges are close together, so there are probably no outliers in this set. )