Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:
for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 :
at x=6 :
therefore, the rate of change in this interval is:
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 :
at x=4 :
therefore, the rate of change in this interval is:
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
1. 3/5
2. 15
3. 1/15
4. 1 2/3
Answer:
The linear speed is
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference is equal to
we have
substitute
step 2
Find the linear speed in feet per minute
we know that
The wheel is rotating at 10 revolutions per minute
Convert revolutions to feet
Remember that
One revolution is equal to the circumference of the circle
so
10 revolutions is equal to
therefore
The linear speed is
Answer:
4.5 is a rational number, as it can be represented as 9/2. Many important numbers in mathematics, however, are irrational, and cannot be written as ratios.
Answer:
y = 3/4x + 6
Step-by-step explanation:
6-3 3
------- = ------
0--4 4
y = mx + b
take coordinates for y and x out of (-4, 3) or (0,6)
6= 3/4 * 0 + b
6 = 0 + b
b = 6