Not sure, can you elborate?
Surface area of cylinder = 2πrh + 2πr^2
SA for cylinder A = 2π x 2 x 2 + 2π x (2)^2 = 8π + 8π = 16π
SA for cylinder B = 2π x 2 x 4 + 2π x (2)^2 = 16π + 8π = 24π
Answer:
The correct option is x = 5
Please find the attached graph of the function
Step-by-step explanation:
The given functions are;
1) f(x) = -x² + 4·x + 12
2) g(x) = x + 2
The table of values are therefore;
x, f(x), g(x)
-7, -65, -5
-6, -48, -4
-5, -33, -3
-4, -20, -2
-3, -9, -1
-2, 0, 0
-1, 7, 1
0, 12, 2
1, 15, 3
2, 16, 4
3, 15, 5
4, 12, 6
5, 7, 7
6, 0, 8
Therefore the solution to the equation f(x) = g(x), occurs at x = -2 and x = 5, where f(x) = g(x) = 0 and 7 respectively
To verify, we have;
Equating the two functions gives;
f(x) = g(x)
-x² + 4·x + 12 = x + 2
-x² + 4·x + 12 - (x + 2) = 0
-x² + 3·x + 10 = 0
(x + 2)(x - 5) = 0
x = 5 or -2
The correct option is x = 5.
Answer: 4 walls
Step-by-step explanation: We know that Ms. O'Grady has approximately 6 1/8 gallons of paint, and needs 1 2/5 gallons per wall she paints. Key words like "per" and "each" tells us that we need to divide these two numbers. However, we run into one problem: the two fractions have 2 different denominators (the number on the bottom of the line) But don't fret! There is an easy fix to this: Multiply the fractions so they match.
In order to do this, we need to find the least common multiple of the numbers 8 and 5. A simple way of doing this is muliplying the numbers together: 8x5=40. Therefore, we need to change our fractions so both denominators equal 40.
1/8 x 5/5 = 5/40
2/5 x 8/8 = 16/40
Now that we have our fractions writen in much simpler terms, we need to add the coefficients to them.
6 + 5/40 = 245/40
1 + 16/40 = 56/40
Now, we divide 245 by 56, which gets us 4 15/40, which can be simplified to 4 3/8. However, Ms. O'Grady can only paint 4 ENTIRE walls. The 3/8 does not matter in this scenario because she can only paint 3/8 of the wall. Therefore, your answer is 4. I hope this helps. :)