To begin with, let us look at a few definitions that will help
A relation is a function if each x-value is paired with exactly one y-value. A vertical line test on a graph can be used to determine whether a relation is a function.
If we use a graph to check, we will have
We can see that there is no overlapping of coordinates. The table satisfies the vertical line test.
Hence, it is a function
The domain and range of function is the set of all possible inputs and outputs of a function respectively. The domain and range of a function y = f(x) is given as domain= {x ,x∈R }, range= {f(x), x∈Domain}.
The domain of the function, D is given by
The range, R is given by
Answer:
3x + y = 19
Step-by-step explanation:
Find the Slope:
4 - 1 / 5 - 6 = m
3/-1 = m
-3 = m
Find b: (use one of the points given and plug into y = mx + b)
1 = 6 (-3) + b
1 = -18 + b
19 = b
Plug the m and b you just found into y = mx + b
y = -3x + 19
Change to standard form (Ax + By = C)
3x + y = 19
To find the amount she makes per hour, divide the total amount she made by the number of hours she worked:
225 / 18 = 12.5
This means she made $12.50 per hour.
The largest number in the chart is 45, so the person left 45 minutes after 10:30 a.m. That person left the library at 11:15 a.m.
We have a right triangle with hypotenuse 38 and leg 34.
We want to find the other leg.
We use the Pythagorean Theorem:
