Answer:
Part A) 
Part B) 
Part C) 
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
Let
x -----> the number of workers
y ----> the number of pieces made
In this problem
The relation between the variables x and y represent a direct variation (proportional variation)
so
For x=16, y=40
Find the value of the constant of proportionality k
substitute the values

The linear equation is equal to

Part A) How many workers are needed to make 20 pieces
For y=20 pieces
substitute in the linear equation


Part B) How many workers are needed to make 25 pieces
For y=25 pieces
substitute in the linear equation


Part C) How many workers are needed to make 100 pieces
For y=100 pieces
substitute in the linear equation


1. 4x + 2y = 11
x - 2 = -2y
First I would isolate one of the variables (x or y) of one of the equations, and then substitute it into the other equation.
The easiest to isolate is the "x" in the second equation
x - 2 = -2y Add 2 on both sides
x = -2y + 2
Substitute this into the first equation
4x + 2y = 11
4(-2y + 2) + 2y = 11 Multiply 4 into (-2y + 2)
-8y + 8 + 2y = 11 Combine like terms
-6y + 8 = 11 Subtract 8 on both sides
-6y = 3 Divide -6 on both sides
y = -3/6 Simplify
y = -1/2
Now that you know "y", you can plug it into either of the original equations to find "x"
x - 2 = -2y
x - 2 = -2(-1/2)
x - 2 = 1 Add 2 on both sides
x = 3
Answer is A
2. y = 3x + 5
4x - y = 5
Substitute the first equation into the second equation
4x - y = 5
4x - (3x + 5) = 5 Multiply/distribute the - into (3x + 5)
4x - 3x - 5 = 5 Combine like terms
x - 5 = 5 Add 5 on both sides
x = 10
Plug in "x" into either of the original equations to find "y"
y = 3x + 5
y = 3(10) + 5
y = 30 + 5
y = 35
Answer is A
Each with 220 sides,meaning 440 edges on the end
Answer:
Reflecting a point across the y-axis -> changes the sign of the x-coordinate
Reflecting a point across both axes -> changes the sign of both coordinates
Reflecting a point across the x-axis -> changes the sign of the y-coordinate
Step-by-step explanation:
Reflections:
- The rule to reflect a point across the y-axis is (-x, y), meaning that the x-coordinate's sign changes.
- Reflecting a point across both axes is the same thing as rotating it 180 degrees, so the rule is (-x, -y). This means that both coordinates' signs change.
- Reflecting a point across the x-axis is (x, -y), meaning that the y-coordinate's sign changes.
Answer:
yes, because it does not have a constant rate of change