Answer: 2x + y < 7
Step-by-step explanation:
In the graph we can see that:
The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:
y < a*x + b
We also can see that the slope of the line is negative, and that the y-intercept is +7
Then the inequality will be something like:
y < a*x + 7
Now we can see that the line passes through the points (0, 7) and (3, 1)
Then the slope will be:
a = (1 - 7)/(3 - 0) = -6/3 = -2
that is negative, as we already said.
Then we have:
y < -2*x + 7
we can rewrite this as:
2x + y < 7
This is the first solution shown.
The volume of a pyramid is V = 1/3 x base length^2 x height
Let X = base length.
We are told the height is 1/2 the length, so height would be 1/2x
Now we have:
972 = 1/3 * x^2 * 1/2x
Simplifying we get:
972 = 1/6x^3
Multiply both sides by 6:
5832 = x^3
Take the cube root of both sides:
x = 18
The length of the base is 18 inches.
The height is 1/2 that, so the height would be 18/2 = 9 inches.
Answer:
x>3, the last option with the open circle
Step-by-step explanation:
Answer:
57.142858%
Step-by-step explanation:
I didn't know if you wanted the entire answer, so I just gave it anyway.
We have been given a graph of function g(x) which is a transformation of the function 
Now we have to find the equation of g(x)
Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.
First you should check the graph of
You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.
Now the given graph has asymptote at x=-2
which is just 2 unit down from the original asymptote x=0
so that means we need shift f(x), 2 unit down hence we get:
but that will disturb the y-intercept (0,1)
if we multiply 
by 3 again then the y-intercept will remain (0,1)
Hence final equation for g(x) will be:
