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:
1 a)8 miles per hour 1 b) 1 hour and 90 minutes 2 a) 24 hours and 6minutes 2 b) 3hours 3 a) 260 hours and 45 minutes 3 b) 40 minutes
Step-by-step explanation:
I don't know for sure if this is all correct but at least you'll have something to write down
Answer:
If Ted can clear a football field of debris in 3 hours, in one hour they will have cleared 1/3 of it.
If Jacob can clear a football field of debris in 2 hours, in one hour they will have cleared 1/2 of it.
So if they work together, they will clear 1/2 + 1/3, which is 5/6, in one hour.
So the equation we get is 5/6*x = 1 and if we divide both sides by 5/6 we get that x = 1.2 hours
= 18 1/5 + 22 2/5 + 40 1/5
Answer is D. 18 1/5 + 22 2/5 + 40 1/5
