Answer:
A. All real number
B. Positive Real numbers
C. y intercept is 1
D. x axis
E. Decreasing
F. Base
Step-by-step explanation:
Given:
A.
Domain of a function f(x) is the value of 'x' for which it has a defined value.
Here, f(x) can have any real number to be given to x.
So, domain is all real numbers.
B.
Range of a function f(x) is the value of f(x) when we give some value of x as input.
Here, we can not have negative value of f(x) because x is in the exponent.
So, the range is Positive Real numbers.
C.
y intercept of any function f(x) is the value of f(0).
So, y intercept is 1.
D. Horizontal asymptote is the the line where value of
x axis is the answer.
E. The graph is decreasing with increasing value of x(from left to right).
Because the base is less than 1.
F. The value of <u>base </u>determines whether the graph will be decreasing or increasing.
If base > 1, the graph will be increasing will increasing value of exponent (x).
Here the base is less than 1 so decreasing graph.
Please refer to the attached graph for better understanding of the given function.
Answer:
8.4
Step-by-step explanation:
Answer: The volume of cylinder Q is 12 times the volume of Cylinder P.
Step-by-step explanation:
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
If cylinder Q has radius, r and height, h,
Then
Volume of cylinder Q = πr²h
For cylinder P,
Height = 3h
Radius = 2r
Volume of cylinder P = π(2r)² × 3h
= 4πr²× 3h = 12πr²h
Therefore, the ratio of the volume of cylinder P to the volume of cylinder Q is
12πr²h/πr²h = 12
Answer:
x - 3 =
square both sides to get rid of square root
x^2 -6x + 9 = 4x - 7 , but remember 4x - 7 can't be less than 0 since it was square roots can't be less than 0
simplify the equation
x^2 - 10x + 16= 0
x = 8, x= 2
but x cannot equal 2, because if we plug in 2, the square root will be negative,
so x can only equal 8
so B is correct.
I'm not the best at quadratics, so pls comment if something is wrong
Answer:14 divided by 24 is 1 with a remainder of 10
Step-by-step explanation: