Answer:
V = pi*x^2*(18x - 45)
Step-by-step explanation:
If the diameter is 6x and the height is 2x + 5, we know that the radius is 3x.
Plugging this info into the volume-of-a-cylinder formula V = pi*r^2*h, we get:
V = pi*(3x)^2*(2x - 5), or V = pi*(9x^2)(2x -5), or:
V = pi*(18x^3 - 45x^2), or V = pi*x^2*(18x - 45)
1) given function
y = - 2 ^ ( -x + 2) + 1
2) domain: domain is the set of the x-values for which the function is defined.
The exponential function is defined for all the real numbers, so the domain of the given function is all the real numbers.
3) x-intercept => y = 0
=> y = - 2 ^ ( -x + 2) + 1 = 0 => 2^ ( -x + 2) = 1
=> - x + 2 = 0 => x = 2
The x-intercept is x = 0
4) y-intercept => x = 0
=> y = - 2 ^ ( -x + 2) + 1= - 2 ^ ( 0 + 2) 1 = - (2)^(2) + 1 =- 4 + 1 = - 3
=> The y-intercept is - 3
5) limit when x -> negative infinite
Lim f(x) when x -> ∞ = - ∞
6) limit when x -> infinite
Lim f(x) when x - > infinite = 1
=> asymptote = y = 1
7) range is the set of values of the fucntion: y
Given that the function is strictly decreasing from -∞ to ∞, the range is from - ∞ to less than 1
Range (-∞,1)
Answer:
x = 24
Step-by-step explanation:
Given that:
(x+3)/3 = 9
multiplying both sides by 3
(x+3) = 9*3
(x+3)= 27
Subtracting 3 from both sides
x= 27-3
x=24
I hope it will help you!
Answer:
(4,6)
is the missing pair.
Step-by-step explanation:
<h2>
Answer:</h2>
We must determine the y-intercept, b using the slope and point provided.
Now that we know the y-intercept, b, we can create the equation of this line: <em>y = -3x + 1</em>.
