What is the average rate of change for ƒ(x) = −3x + 1 over the interval −2 ≤ x ≤ −1?
2 answers:
Answer:
The average rate of change is -3
Step-by-step explanation:
we have
This is a linear function in slope intercept form
where
m is the slope
b is the y-intercept
In this problem
The slope is equal to
Remember that
In a linear function the average rate of chance is a constant and is equal to the slope of the linear function in any interval
therefore
The average rate of change is -3
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Answer:
(x) = √ x + 4
Step-by-step explanation:
step 1) replace f(x) with y
y = x² - 4
step 2) switch the x and y (because every (x, y) has a (y, x))
x = y² - 4
step 3) add 4 to both sides of the equal sign
x + 4 = y²
step 4) take the square root of both sides of the equal sign (the square root symbol cancels out the ²)
√ x + 4 = y
step 5) you know have the inverse of f(x) = x² - 4
(x) = √ x + 4
Answer:
<u><em>1.) 20.2</em></u>
Step-by-step explanation:
1.) You need to use the distance formula:
Find the distance of A to B first:
B to C:
C to A:
Add distances to find the perimeter:
2.) Part A:
You need to use the mid-point formula:
Part B:
1. Use the slope-intercept formula:
M as the slope, b the y-intercept.
Find the slope of the two points A and B using the slope formula:
Insert slope as m into equation.
Take point A as coordinates and insert into the equation. Solve for the intercept, b:
Insert the value of b into the equation.
2. Use the mid-point coordinate. Take the slope.
If you need to find the perpendicular bisector, you will take the negative reciprocal of the slope. Switch the sign and flip it. Ex:
Insert the new slope into the slope-intercept equation as m.
Take the mid-point coordinate as (x,y) and insert into the equation with the new points. Solve for b.
Insert the value of b.