Answer:
Given the function: y=f(x) = 3x+2
when x=-2 at the beginning of the interval [-2, 5],
then;
y = 3x+2 begins at
y= 3(-2)+2 = -6+2= -4.
and
when x=5 at the end of the interval [-2, 5],
y = 3x+2 ends up at
y= 3(5)+2 = 15+2= 17.
So,
y has changed -4 to 17, which is a change of 17-(-4)= 17+4 = 21
and x has changed from -2 to 5, which is a change of 5-(-2)=5+2=7
So, the average rate of change of y with respect to x over the interval
[-2, 5] is given by ;
=
Therefore, the average rate of change y with respect to x over the interval is, 3
Step-by-step explanation:
Answer: I believe it is 2
slope=y2-y1/x2-x1
y2-y1= (0,-3)
x2-x1= (4,5)
m=5-(-3)/4-0
m=2
Answer: Scale Factor = 1/4
Step-by-step explanation:
The base of triangle X has a length of 12, and the base of triangle x' has a length of 3. Therefore, the scale factor is 1/4, because 12 x 1/4 = 3.
Answer:
Step-by-step explanation:
<u>Step 1:</u>
<u>Step 2:</u>
- Pull out like factors:
- 64p - 32 = 32 * (2p - 1)
<u>Final result:</u>
<u>Real answer:</u>
Answer:
Step-by-step explanation:
If the slope is 1/5, we can interpret this as rise/run = 1/5. We could (if we wished to do so) find the hypotenuse by using the Pythagorean Theorem:
hypo = +sqrt( 1^2 + 5^2)
In this case we dilate the triangle defined by the slope 1/5:
2/10, 1/10/(1/2), 10/50, etc., all represent right triangles whose hypotenuses lie on the same line (the line with slope 1/5).
