Please use * to denote mult. here, not "x." "x" is your variable and cannnot also be a symbol for mult.
f(x)g(x) = 3x^3 - 5x^2.
Now let x = 3:
(f*g)(3) = 3(3)^3 - 5(3)^2 = 81-45 = 36 (answer)
Hi there!
<u>FACTS</u> :
The formula for the volume of a cylinder is : V =
× r² × h
<u>STEPS TO ANSWER:</u>
You have the diameter of the cylinder, which is 13cm.
In order to have the radius of the cylinder to put in our formula, you'll need to divide the diameter by 2 because the diameter is two times the radius:
13 ÷ 2 = 6.5
Now that you have the radius (6.5) and the height (24cm) of the cylinder, you can put these information in the formula and calculate de volume :
V =
× r² × h
V =
× <u>6.5²</u> × 24
V =
× <u>42.25 × 24</u>
V =
× 1,014
V = 3,185.574950......
Since you need to round your answer to the nearest tenth, which means that you will have only one decimal, the volume of the cylindrical container would be about 3,185.6cm³.
There you go! I really hope this helped, if there's anything just let me know! :)
Answer:
the answer is 2
Step-by-step explanation:
1/2 plus 1 is 1 1/2 then add another 1/2
15 and one half is 31/2. 3 and seven eighths is 31/8. 31/2 also equals 124/8. Then the answer is 124/8 - 31/8 is 91/8. Hope that helped.
Answer:
2
Step-by-step explanation:
The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.
So we are going to need to corresponding y coordinates.
What y corresponds to x=1? y=3
What y corresponds to x=2? y=5
So we have the ordered pairs (1,3) and (2,5).
Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.
(2 , 5)
-(1 , 3)
-----------
1 2
The average rate of change is 2/1 or just 2.
Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.