Multiply the rate per hour by the number of hours (n) and add the deposit.
A)
Bike shop x: c = 2.75n + 3.00
Bike shop z: c = 1.75n + 7.00
B) to find when they will cost the same set the equations equal to each other and solve for n:
2.75n + 3.00 = 1.75n + 7.00
Subtract 3 from each side:
2.75n = 1.75n + 4.00
Subtract 1.75n from both sides:
1.00n = 4.00
Divide both sides by 1:
n = 4 hours
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
IT is c i checked using all the steps
Answer: -4 . 2ⁿ⁻¹
Step-by-step explanation: This is a geometric progression
the nth term is given by arⁿ⁻¹
a = the first term of the sequence
r = common ratio
n= number of terms
for this sequence
a = -4
r = -8/-4 = 2
nth term, an = -4 . 2ⁿ⁻¹
Answer:
alternate exterior angles
Step-by-step explanation:
hope this helps
