Answer:
Average rate of change = 2
Step-by-step explanation:
We need to find the average rate of change of f(x) over the interval [-4,-1], so first we need to find the end points at x=-4 and x=-1.
From graph we see that y=-3 when x=-4, So the point is (-4,-3)
From graph we see that y=3 when x=-1, So the point is (-1,3)
Now we can plug these points into average rate of change formula:
![Average\ rate=\frac{f\left(b\right)-f\left(a\right)}{b-a}](https://tex.z-dn.net/?f=Average%5C%20rate%3D%5Cfrac%7Bf%5Cleft%28b%5Cright%29-f%5Cleft%28a%5Cright%29%7D%7Bb-a%7D)
where (a,f(a)) and (b,f(b)) are the given points.
![Average\ rate=\frac{-3-3}{-4-\left(-1\right)}](https://tex.z-dn.net/?f=Average%5C%20rate%3D%5Cfrac%7B-3-3%7D%7B-4-%5Cleft%28-1%5Cright%29%7D)
![Average\ rate=\frac{-3-3}{-4+1}](https://tex.z-dn.net/?f=Average%5C%20rate%3D%5Cfrac%7B-3-3%7D%7B-4%2B1%7D)
![Average\ rate=\frac{-6}{-3}](https://tex.z-dn.net/?f=Average%5C%20rate%3D%5Cfrac%7B-6%7D%7B-3%7D)
![Average\ rate=2](https://tex.z-dn.net/?f=Average%5C%20rate%3D2)
Hence final answer is 2.
It would be 5:22 AM (im proboblyy wrong about the minutes but the hours are definitely correct
Answer:
Volume = 112
Step-by-step explanation:
formula: V = (1/3) × L × W × h,
![formula: V = ( \frac{1}{3} ) × L × W × h, \\ = \frac{1}{3} \times 8 \times 7 \times 6 \\ divide \: both \: 3 \: and \: 6 \\ = 1 \times 8 \times 7 \times 2 \\ = 56 \times 2 \\ = 112](https://tex.z-dn.net/?f=formula%3A%20V%20%3D%20%28%20%5Cfrac%7B1%7D%7B3%7D%20%29%20%C3%97%20L%20%C3%97%20W%20%C3%97%20h%2C%20%5C%5C%20%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%20%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%206%20%5C%5C%20divide%20%5C%3A%20%20both%20%5C%3A%203%20%5C%3A%20and%20%5C%3A%206%20%5C%5C%20%20%3D%201%20%5Ctimes%208%20%5Ctimes%207%20%5Ctimes%202%20%5C%5C%20%20%3D%2056%20%5Ctimes%202%20%5C%5C%20%20%3D%20112)
Answer: 3 hours
Step-by-step explanation:
The span between -12.5 and -5 is 7.5. Divide that by 2.5 (since that’s the change) and that’ll give you the amount of time it takes.
Answer:
19.) r = -4 20.) r = 1
Step-by-step explanation:
19.) Because we know the slope and have some points, we can use point-slope form to find the equation.
Point-slope form is:
y - y1 = m(x - x1)
Substitute the numbers into the equation:
y - 3 = 7/6(x - 1)
y - 3 = 7/6x -7/6
y = 7/6x + 11/6
Now that we know the equation, we can put in the x value to find the y (In this case, y = r):
r = 7/6(-5) + 11/6
r = -35/6 + 11/6
r = -4
20.) Because the slope is undefined, that means on the graph, the line will appear straight and vertical. This means the equation will be something like x = a number.
We have the point (1,4). Since we know that the x value will never change, we know that r will have to equal 1 as well.
r = 1