Answer:
9x² -5
Step-by-step explanation:
(f○g)(x) means f(g(x))
Put the definition of g(x) in place of x in the definition of f(x):
f(g(x)) = f(x²) = 9(x²) - 5
(f○g)(x) = 9x² - 5
Answer:
r = 5.848cm, h = 11.696cm
Step-by-step explanation:
Surface area: 
Volume: 
Therefore, the height of a cylinder given its volume would be 
, thus:
We now find the derivative of the surface area of the cylinder with respect to its radius and set it equal to 0, solving for the radius:
If ![0If [tex]r>5.848](https://tex.z-dn.net/?f=0If%20%5Btex%5Dr%3E5.848)
, then the surface area of the cylinder increases
Therefore, the surface area is minimized when the radius is 
, making the minimum height 
.
In conclusion, the 2nd option is correct.
Answer:
3^9x=3^-2x
Step-by-step explanation:
27^3x=(1/9)^x
3^3×3x=(1/3^2)^x
3^9x=3^-2x
The first step to solving this is to multiply both sides of the equation by 3
8 + 10y = 9y - 12
now move the variable to the left side and change its sign
8 + 10y - 9y = -12
move the constant to the right side and change its sign
10y - 9y = -12 - 8
collect the like terms for y
y = -12 - 8 (it equals 1 when you subtract 10 from 9 which is the same is simply saying "y")
calculate the difference on the other side of the equals sign
y = -20
this means that the correct answer to your question is -20.
let me know if you have any further questions
:)
Answer:
f(x) = -5/9 x + 5 1/9
Step-by-step explanation:
f(2)=4 and f(−7)=9 means the line pass through (2,4) and (- 7,9)
f(x) = mx + b
m = (y-y') / (x-x') = (9 - 4) / (- 7 - 2) = - 5/9
for (2,4) : b = f(x) - mx = y - mx = 4 - (- 5/9) x 2 = 4 + 10/9 = 46/9 = 5 1/9
f(x) = -5/9 x + 5 1/9
check for (-7, 9) f(-7) = (-5/9) * (-7) + 5 1/9 = 35/9 + 46/9 = 81/9 = 9
