The slope-intercept form: y = mx + b
m - slope
b - y-intercept
y = 5x + 2 and y = 5x – 8
m = 5 m = 5
b = 2 b = -8
When comparing equations:
1. Put in <u>slope-intercept</u> form.
2. Compare the <u>slopes and the y-intercepts</u>!
This system has <u>no solution.</u>
Because we have the same slopes and different y-intercepts.
If the slopes are the same and the y-intercepts are the same, then that system has infinitely many solutions.
If the slopes are different, then that system has one solution.
Answer:
The individual cost of each person’s items was $ 9 for Tanya and $6.75 for Tony
Step-by-step explanation:
First we have to find 2 equations to express the problem
x = value of each item
y = total amount of money
3x = y
4 ( x - 2.25 ) = y
we replace the y by (3x) in the second equation and obtain the value of x
4 ( x - 2.25 ) = y
4 ( x - 2.25 ) = 3x
4x - 9 = 3x
4x - 3x = 9
x = 9
9 - 2.25 = 6.75
this means that the individual cost of each person’s items was $ 9 for Tanya and $6.75 for Tony
Answer: Expected value would be 
Step-by-step explanation:
Since we have given that
Number of multiple choice question = 4
Number of true false questions = 2
Number of points for each multiple choice question = 3
Number of points for each true false question = 1
Number of choices in multiple choice = 5
Probability of getting correct answer in multiple choice question = 
Probability of getting correct answer in true false question = 
Expected value of the student's score on the test would be
Hence, expected value would be
Answer:
50 ice creams per week
Step-by-step explanation:
