Answer:
The answer is below
Step-by-step explanation:
When renting a car two options listed below are given. You need the car for 3 days. How many miles must you travel in order for option 2 to be the better option? Tell me your variable and what it represents. Then use that variable to set up an equation you can solve to get the answer.
Option 1
Daily fee $50
Cost per mile $0.15
Option 2
Daily fee $65
Unlimited miles
Solution:
The equation of a straight line is given by:
y = mx + b; where m is the slope of the line (that is rate of change) and b is the y intercept (value of y when x is 0).
Let x represent the number of miles travelled in one day and let y represent the total cost incurred for travelling x miles.
Therefore, for option 1, the total cost per day is:
y = 50 + 0.15x (1)
For option 2, the total cost per day is:
y = 65 (2)
Since, we want to determine, how many miles must you travel in order for option 2 to be the better, hence:
65 < 50 + 0.15x
15 < 0.15x
x > 100 miles
Therefore for option 2 to be better, the car must travel more than 100 miles per day.
Answer:
Do the same thing for the other exercises and you should find the results. They are all complimentary angles, that means if you sum the two equations representing the angles of each exercise they will be equal to 180º always
Step-by-step explanation:
3. notice 2x is complimentary of 2x + 80 because 2x is opposed to that blank space that compliments it.... I'm bad at explaining, I'll just show.
2x + 2x + 80 = 180
4x + 80 = 180
4x = 180 - 80
4x = 100
x = 25º
so then:
2x = 2*25
2x = 50º
and:
2x + 80 = 50 + 80
2x + 80 = 130º
Answer:
608x^3+8840x^2-14048x+2560
Step-by-step explanation:
8x + 20 - 11 = 4x - 3
8x + 9 = 4x - 3
8x + 12 = 4x
12 = -4x
-3 = x
X = -3