Slope shows both steepness and direction. With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right. If two linear functions have the same slope they are parallel.
When we speak of the word "lowest", we mean to say that all the possible prices of the song for MP3 are greater than $0.99. Thus, the inequality that would best represent the given scenario is,
p ≥ 0.99
There is a way to work it out with a pencil and paper, but that's too complicated
to try and explain with only text, like we have here.
I don't usually recommend this for things that can be done easily on paper ...
but for square roots, your best bet is to use a calculator.
The square root of 30 does not come out even. It starts out 5.477225...
and it keeps going and never ends.
The negative of 5.477225... is also a square root of 30. Every number has
two square roots ... the positive and negative of the same number.
Answer:
(-∞, -5/2) ∪ (1, ∞)
Step-by-step explanation:
"Increasing" means the graph goes up to the right. It is increasing from the left up to the local maximum--the peak at left.
It is increasing again from the local minimum on the right to the right side of the graph.
The two sections where the graph is increasing are ...
(-∞, -5/2) ∪ (1, ∞)
__
The graph is <em>decreasing</em> between the maximum on the left and the minimum on the right.
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
