Step-by-step explanation:
1. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
G
2. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
B
3. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
I
4. 
<u>Combine Like Terms:</u>
<u>Answer:</u> 
H
Your code is, GBIH
Answer:
1050 units
Explanations:
Given the equation y=500+0.2x to determine his weekly paycheck based on his sales volume, where:
y is the amount of his check
x is the number of units he sells each month.
In order to determine the amount of units he would need to sell for his paycheck to be $710, we willl substitute y = 710 into the equation and find the value of x as shown:
y=500+0.2x
710 = 500+0.2x
710-500 = 0.2x
210 = 0.2x
0.2x = 210
Divide both sides by 0.2
0.2x/0.2 = 210/0.2
x = 1050
Hence he would need 1,050 units to sell for his paycheck to be $710
Answer:
(0, -1)
Step-by-step explanation:
A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.
Hence for parallelogram RSTU, RS // TU and RU // ST
Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:
Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5
Slope of ST = (2 - 4) /[6 - 3] = -2/3
Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)
Slope of TU = (y - 2) /[x - 6]
Slope of RU = Slope of ST
(y - 1) / (x + 3) = -2/3
3y - 3 = -2x -6
2x + 3y = -6 + 3
2x + 3y = -3 (1)
Slope of RS = Slope of TU
0.5 = (y - 2) /[x - 6]
0.5x - 3 = y - 2
0.5x - y = 1 (2)
Solving 1 and 2 simultaneously gives:
x = 0, y = -1
Therefore the coordinates of U = (0, -1)
Answer:
x = 1 and y = 5
Step-by-step explanation:
Use substitution because you know that x = y - 4, and plug this into the first equation to get -10(y - 4) + 3y = 5, or -10y + 40 + 3y = 5. This is -7y = -35 so y = 5. Plug this into the 2nd equation to get that x = 1 and y = 5.
