Determine which ordered pairs are part of the solution set for each inequality. 2x-3y>6,{(3,2),(-2,-4),(6,2),(5,1)}

Testing points is by substitution:
 
2(3)-3(2)>6
6-6>6 False 

2(-2)-3(-4)>6
-4+12>6 True 

2(6)-3(2)>6
12-6>6 False 

2(5)-3(1)>6
10-3>6 True 

The dimensions of a rectangular swimming pool are 15feet by 30 feet. The dimensions of a rectangular deck that surrounds the pool are 31 feet 40 feet. What is the area of the deck only?

 


 
so 790 square feet

Find the real numbers that satisfy the equation: |x| = -1/5

Absolute values are always greater than or equal to 0, so no real number(s) can make this equation true (no solution).

the sum of two numbers is 42. three times the first number is the same as four times the other number. find the number.

1) x+y=42
2) 3x=4y 
so...
x=42-y
3x=3(42-y)=4y
3*42-3y=4y 
7y=3*42
y=3*42/7
y=18 
x=42-18
x=24

Find x and y intercepts of the graph y=-3

This is a horizontal line so no x-intercept and y-intercept: (0,-3)

Find x and y intercepts of the graph x=-1

This is a vertical line so no y-intercept, x-intercept: (-1,0)

Human body temperatures have a mean of 98.20 degrees Fahrenheit and a standard deviation 0.62 degrees Fahrenheit. You take your temperature and it is 96.98 degrees Fahrenheit. What is your z-score?