Answer:
y = -2/3x + 18
Step-by-step explanation:
to find the y intercept you should input the points 15,8
sooo
8 = -2/3(15) + b
8 = -10 + b
b = 18
A) I included a graph, look below.
B)
Input the y in x = y + 3.
x = (-4x - 3) + 3
x = -4x + 0
Add 4x to both sides.
5x = 0
Divide both sides by 5.
x = 0
Input that x value in y = -4x - 3
y = -4(0) - 3
y = 0 - 3
y = -3
(0, -3)
C)
Convert both equations to Standard Form.
x = y + 3
Subtract y from both sides.
x - y = 3
y = -4x - 3
Add 4x to both sides.
4x + y = -3
Add the equations together.
4x + y = -3
x - y = 3
equals
5x = 0
Divide both sides by 5.
x = 0
Input that into one of the original equations.
0 = y + 3
Subtract 3 from both sides.
-3 = y
(0, -3)
Part A.
Amount of money earned = Regular rate per hour *
Number of working hours
M = 12 x
Part B.
Amount of wages earned = Regular rate per hour *
Maximum number of regular working hours + Overtime rate per hour * Excess
working hours
T = 12 * 30 + 16 * y
T = 360 + 16 y
or
T = 16 y + 360
Part C.
Given T = 408, find y:
408 = 16 y + 360
y = 3 hrs
Therefore the total hours Gary worked that week
is,
<span>x + y = 30 + 3 = 33 hrs </span>
<span>(x = 30 since that is the maximum limit for regular working
hours)</span>
Answer:
m=22
Step-by-step explanation:
i am very very shmart
Answer:
A cantaloupe costs $4
Step-by-step explanation:
Watermelons = W
Cantaloupes = C
Write given statements as equations
5W + 6C = 54
4W + 8C = 56
Simplify the second equation
4W + 8C = 56
Subtract 8C from both sides of the equation
4W = 56 - 8C
Divide both sides of the equation by 4
W = 14 - 2C
Substitute into second equation
5W + 6C = 54
5(14 - 2C) + 6C = 54
Multiply 5(14 - 2C)
70 - 10C + 6C = 54
Add -10C + 6C
70 - 4C = 54
Add 4C to both sides of the equation
70 = 54 + 4C
Subtract 54 from both sides of the equation
16 = 4C
Divide both sides of the equation by 4
C = 4
A cantaloupe costs $4
5W + 6(4) = 54
Multiply 6(4)
5W + 24 = 54
Subtract 24 from both sides of the equation
5W = 30
Divide both sides of the equation by 5
W = 6
A cantaloupe costs $4
A watermelon costs $6
Hope this helps :)