9514 1404 393
Answer:
D. Both functions are decreasing at the same average rate on that interval
Step-by-step explanation:
The dashed lines on the attached graph of the two functions (f in red, g in purple) represent the average rate of change of each function on the interval. The lines are parallel, because the average rate of change is the same for each of the functions on that interval.
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Function f decreases by 60 units from f(0) = 64 to f(4) = 4 on the interval x = [0, 4]. Function g decreases by 60 units from g(0) = 75 to g(4) = 15 on the same interval. The average rate of change is the amount of decrease divided by the interval width. Those values are the same for both functions.
Answer:
ft³
Step-by-step explanation:
First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then
The formula for a sphere's surface area is
The formula for a sphere's volume is 
So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area -
ft² - so we can use the area formula to find that radius:

And now that we have our radius, we can put it into our volume formula to find
ft³
Answer:
C
Step-by-step explanation:
A function is where each input has a single output.
(A) There can be a different amount of students in a class (e.g. 21 or 22) that have the same class length
(B) There can be multiple things that Mike can order with $1
(D) There can be multiple students have the same GPA
(C) There is one button for each snack item
Answer:
11
Step-by-step explanation:
1) lets get rid of the parentheses, we dont really need them:
−22 −4 + 8+ 52 + 2 − 25
Following order of operations we need to work from left to right
so
-22-4=-26
-26+8=-18
-18+52=34
34+2=36
36-25=11
the answer is 11
hope this helps
Answer:
see explanation
Step-by-step explanation:
Given
8x - 6 > 12 + 2x ( subtract 2x from both sides )
6x - 6 > 12 ( add 6 to both sides )
6x > 18 ( divide both sides by 6 )
x > 3
Any value of x greater than 3 will be in the solution set