From -4 to 1 (range equals the y values)
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.
Answer:
3.183.10^7
Step-by-step explanation:
Answer: 20d + 5
Step-by-step explanation:
First we need to combine like terms.
In this equation we can see that they're are 3 numbers containing the letter D we have -4, -4, 28.
We're going to combine -4 and -4 to get -8 and then combine -8 to 28 getting 20d
Afterwards we're going to combine 3, 2 equaling 5.