Answer:
A] The slope of f(x) is greater than the slope of g(x).
Step-by-step explanation:
First, you need to calculate the slope of f(x) and g(x) using the slope formula
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are points of the functions.
To calculate the slope of f(x) you can choose two points from the graph, in this case (0, -1) and (3, 1). Remember you can choose the points you want as long they are on the graph.
m = 1 - (-1) / 3 - 0
m = 1 + 1 / 3
m = 2 / 3
m = 0.66...
To calculate the slope of g(x) you can choose two points from the table, in this case (0, 2) and (5, 4).
m = 4 - 2 / 5 - 0
m = 2 / 5
m = 0.4
So the slope of f(x) is greater than the slope of g(x).
Answer:
n=10
Step-by-step explanation:
Let's remember that when exponents have the same base (here it is 2), we add the exponents. Therefore, 2^(2+n)=(2^4)^3
Now we will rewrite as 2^(2+n)=2^(4*3) = 2^(2+n)=2^12
Now we have the same base of 2, so we can get rid of them and we have
2+n=12
subtract 2 from both sides: n=10
1) 6yds 2)2000mL 3)10.46km 4)10560ft 8)6300 meters