The perpendicular line through (2, 1) is
.. y = (x -2)+1
or
.. y = x -1
Given that the function is 
We need to determine the average rate of change over the interval 
<u>Value of f(x) when x = 0:</u>
Substituting x = 0 in the function , we have;
Thus, the value of f(0) is 7.
<u>Value of f(x) when x = 5:</u>
Substituting x = 5 in the function , we have;
Thus, the value of f(5) is 2.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
where 
and 
Thus, we have;
Thus, the average rate of change over the interval is -1.
Answer:
7.49
Step-by-step explanation:
Well first you have to find how much the bike lock cost.
8.75 x 0.2
1.75 = how much 20% of 8.75 is
8.75-1.75
7 = the cost of the bike lock with the 20% markdown
Now you have to find the sales tax.
7 x 0.07
0.49
7 + 0.49
7.49 = total cost with all the stuff
Hopefully this was helpful. There is a shorter method too tho.
Answer:
<h2>They both have the same slope</h2>
Step-by-step explanation:
The standard equation of a given line is expressed as y = mx+c where m is the slope and c is the intercept.
given the function f(x)= 3x − 3, comparing this equation with the standard format, we will have;
mx = 3x
Divide through by x
mx/x = 3x/x
m = 3
Hence the slope of the function f(x)= 3x − 3 is 3.
For a function g(x) passing through the points (0, 2) and (1, 5), to determine the slope, we will use the formula for calculating slope expressed as;
m = Δy/Δx = y₂-y₁/x₂-x₁
From the coordinates, x₁ = 0, y₁ = 2, x₂ = 1, y₂ = 5
m = 5-2/1-0
m = 3/1 = 3
Hence the slope of g(x) passing through the points (0, 2) and (1, 5) is also 3.
<em>This shows that both functions have the same slope.</em>
Answer:
111
Step-by-step explanation:
divide by 2 to find the radius
