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
It’s an Improper Fraction
Step-by-step explanation:
20 men work 8 hours a day for 18 days.
that are
20×8×18 = 2880 work hours to complete that work.
if 24 men work 5 hours a day, that are
24×5 = 120 work hours per day.
we still need to do the total 2880 work hours.
so, they will need
2880 / 120 = 24 days to complete the work.
Answer:
1. m<T =72 , m<U =54
2. EF= 18 in. , m<F=134'
3. x=4
Step-by-step explanation:
1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T
180 - 54 - 54 = 72
2. ef = gf
180 - 23 - 23 = 134
3. since bottom 2 angles are = , the 2 sides are also =
see attachment for work
Answer:
A. the slope value is 1/4
B. 0
C. y = 1/4x
Step-by-step explanation:
A: the slope can be calculated with the formula
m is the slope
(x1, y1) is your first coordinate point (any point will work)
(x2, y2) is your second coordinate point (any point will work)
Plug in your values, in this case I chose (0,0) and (4,1) as the two coordinates:
B: the y-intercept is the y-coordinate of where the graph touches the y-axis and in this case the coordinate is (0,0) where the y coordinate is 0.
C:
the equation of the graph is y = mx + b.
m is the slope = 1/4
b is the y-intercept = 0
Therefore the equation is y = 1/4x
