Answer:
18.75
Step-by-step explanation:
just divide 3000 by 160 which is 18.75.
Answer:
Step-by-step explanation:
Area = height * length
Let length of mural be x so height is 2/3x
Area = 2/3x*x = 600
x*x=900
x=30 feet
Length = 30 feet
Height = 2/3 *30 = 20 feet
now, exponential functions have a horizontal asymptote at the x-axis, namely when y = 0, however, if you just move this one with a vertical translation of 2, then the horizontal asymptote will be at 2 instead.
y = 3(2)ˣ + 2
AB = 9.
It is given that BC = 9 and AB = BC. Hence, AB = BC = 9.
Answer:
Domain and Range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively
Step-by-step explanation:
We have the functions, f(x) = eˣ and g(x) = x+6
So, their composition will be g(f(x)).
Then, g(f(x)) = g(eˣ) = eˣ+6
Thus, g(f(x)) = eˣ+6.
Since the domain and range of f(x) = eˣ are all real numbers and positive real numbers respectively.
Moreover, the function g(f(x)) = eˣ+6 is the function f(x) translated up by 6 units.
Hence, the domain and range of g(f(x)) are 'All real numbers' and {y | y>6 } respectively.
