We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
2 I think that is the answer
Answer:
Step-by-step explanation:
So, as shown in the picture below, you first have to find the line y = -1. Then that’s what your going to reflect. Imagine that your making a print of it, that’s how you will reflect it. Imagine taking a piece of paper with that triangle on it and folding it along that line I drew in my picture (at y=-1). Hope that helped!
Answer: 40%
Step-by-step explanation:
(14-10)/10=4/10x100= 40% (increase)
14/10= 1.4 - 1 = 0.4 x 100 = 40%
Answer:
156
Step-by-step explanation:
Let's see they end with 2 so number is even. The most reasonable answer is 156 as both apply and is small enough.