Given:
The given system of equations is:
To find:
The solution to this system of equations by graphing.
Solution:
We have,
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
Let same number of hours = x,
since the salary earned is also the same, then
Salary of supervisor A = $25x
Salary of supervisor B = $20(30)+$30(x-30)
Equating
25x=600+30(x-30)
30x-25x=900-600
5x=300
x=60 hours
Check:
Salary of supervisor A = 25*60=1500
Salary of supervisor B = 20*30+30*(60-30)=600+900=1500, ok.
Answer:
Step-by-step explanation:
6 weeks is 42 days.
6 days/42 days = 1/7
$3,500 budget minus $50 clean up fee equals $3,450.
3500 - 50 = 3450
$3,450 divided by $31 per person equals 111.29
3450 / 31 = 111.29
111 people multiplied by $31 equals $3,441 plus $50 clean up fee equals $3,491
111 x 31 = 3441
3441 + 50 = 3491
They can invite 111 people and will have $9 to spare
Answer:
B) (4, 0)
C) (0, -1)
E) (2, 3)
Step-by-step explanation:
If we see the rule of function then it says that,
a function is a special relationship where each input, x, has a single output, y.
It means that for every value of x there SHOULD be a different value of y.
A)
(-3,-2) Rejected
because when x = 3, y = -2
D)
(1, 6) Rejected
because when x = 0, y = 6
F)
(-5, 9) Rejected
because when x = 4, y = 9
