Question:
Find the constant of proportionality k. Then write an equation for the relationship between x and y
Answer:
(a)
(b)
Step-by-step explanation:
Given
Solving (a): The constant of proportionality:
Pick any two corresponding x and y values
The constant of proportionality k is:
Solving (b): The equation
In (a), we have:
k can also be expressed as:
Substitute values for x1, y1 and k
Cross multiply:
Open bracket
Add 10 to both sides
Answer:
see below
Step-by-step explanation:
The first part of the function, f(x) = -2x (for x < -1), is only graphed correctly in the first and third graphs.
The second part of the function, f(x) = -1 (for -1 ≤ x < 2) is only graphed correctly in the first graph, which also correctly graphs the third part of the function,
The appropriate choice is the first graph.
Answer:
3 = x
Step-by-step explanation:
0 > 3x - 3 - 6
You want to group up the -3 and -6 first
0 > 3x - 9
Then you want to add 9 to each side to cancel out the negative 9 on one side.
0 > 3x - 9
+9 +9
9 > 3x
Now you just divide by 3 on each side
3 = x