Answer:
true
Step-by-step explanation:
3 is half of 6
1 is half of 2
To answer, we substitute each of the numbers in parentheses to x of h(x) and get the value of g(x).
A. h(2) = 2(2) + 3 = 7 ; g(2) < 4 (neither is equal to 7)
B. h(7) = 2(7) + 3 = 17; g(7) is not shown in the graph (not true)
C. h(2) = 7 ; g(2) < 4 Thus, g(2) < h(2) (choice is not true)
D. From C, g(2) < h(2) (TRUE)
Thus, the answer to this item is letter D.
Linear function definition: a function that will create a straight line when graphed.
11 is not a linear function (not a straight line), but 12 is.
For the tables, you can either plot out the graph or just look at the number patterns. A linear function's numbers will always increase/decrease accordingly at a constant rate. For example, in 14, you notice that as x increases by 1, y decreases by 2. This means it is a linear graph.
In 13, as x increases by 1, the output y increases but at a different rate each time. It increased by 3 at first, then 5, then 7. Hence, it is not a linear function. What is it then? It is an exponential function.
Answer:
11x+y = -28
Step-by-step explanation:
We have two points so we can find the slope
m = (y2-y2)/(x2-x1)
= (-6-5)/ (-2--3)
= -11(-2+3)
= -11/1
The slope is -11
We can use point slope to make an equation
y-y1 = m (x-x1)
y-5 = -11(x--3)
y -5 = -11(x+3)
Distribute
y-5 = -11x-33
Add 5 to each side
y-5+5 = -11x-33+5
y = -11x-28
Add 11x to each side
11x+y = -11x+11x-28
11x+y = -28
This is the standard form of a line
Answer:
c/d = 6
Step-by-step explanation:
Use the second equation.
c - 6d = 0
Add 6d to both sides.
c = 6d
Divide both sides by d.
c/d = 6
