Answer:
0.2071
Step-by-step explanation:
It looks like the graph is of the function ...
y = √(x +8) -2
We know that (-4, 0) is one point on the graph. The other point of interest is at x=0, where y = √8 -2 ≈ 0.8284.
The average rate of change on the interval is then ...
m = (0.8284 -0)/(0 -(-4)) = 0.2071
The average rate of change on the interval is about 0.2071.
_____
<em>Rougher estimate</em>
The graph goes through the points (-4, 0) and (1, 1), so has a slope of 1/5 = 0.2 on the interval [-4, 1]. We know the graph does not go through (0, 1), so the slope is not as high as 1/4 = 0.25. The curve is concave downward, so the average slope will be higher than 0.2, but we aren't sure how much higher.
A reasonable estimate of the rate of change on the interval is "a little more than 0.2, but less than 0.25."
Answer:
D) When x=2, y=14
When x=4, y=28
Step-by-step explanation:
By using slope= y2-y1/x2-x1
I get (1,7) and (3,21) from the table
slope= 21-7/3-1= 14/2= 7
Then I plug in the values into y=mx+b
7= 7(1) +b
b= 0
Getting an equation of y=7x
When x= 2
y= 7(2)= 14
When x= 4
y= 7(4)= 28
Answer:
Your power function is y=-2
Step-by-step explanation:
The way I found it was.
0=0, so, the function multiply by zero, and have no other term to add
A number (one in a case) gives as a result: -2. So, one, elevated to ANY power results in one, every time. So, I have 1, as a factor and -2 as a result. One is as well a factor that delivers a result equal to the other factor. (3)(1)=3 , (8987)(1)=8987. So, the other factor must be -2
Then I checked all the table, and the results were consistent.
Answer:
7,-5,-11
Step-by-step explanation:
-3(-4)-5=7
-3(0)-5=-5
-3(2)-5=-11
Answer:
It has no real solution.
Step-by-step explanation:
6p^2 − 7p + 5 = 0
For this equation: a = 6, b = -7, c = 5
6p^2+ −7p + 5 = 0
Step 1: Use quadratic formula with a=6, b=-7, c=5.
p = -b ± √b^2 - 4ac/2a
p = -(-7) ± √(-7)^2 - 4(6)(5)/2(6)
p = 7 ± √-71/12
