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.
20 is your answer; the value of x
Answer:
Solving 
we get 
Step-by-step explanation:
We need to solve:
First solving brackets
Now solving 6^2
Now subtracting 8.5 from 36
Now adding the above values
So, solving we get
Answer:
B
Step-by-step explanation:
Answer:
x=1
Step-by-step explanation:
5x+2=3x+4(2x-1)
First take the ( ) 4*2xand 4*-1
Then simplify and add all like terms
then subtract/add(opposite of what it is) whichever x term from both sides
then subtract/add the numbers on the side you chose to the other side to get something as the following
x=#
then divide x by the #
