Answer:
25a² - 10a + 1
Step-by-step explanation:
Simplify the expression and you will get the answer as above.
Answer:
Cost of tools: $100
Cost for each chair: $25
Step-by-step explanation:
You can see that before 1 chair, the cost is at 100. This means that the cost of the tools is $100. Another way to determine this is to see that at 1 chair, the cost is $125. At 2, it's $150, and at 3 it's $175, etc. This tells you that the cost to produce each chair is $25, but it also tells you that the tools cost 100 dollars, since the total cost at 1 chair is $125, and each chair only costs $25.
Hope this helps!
The man's age is 57 years old.
To find this answer follow the steps below:
1. Subtract 29 from 200 to get 171.
2. Divide 171 by 3 to get 57.
To check this, use the equation 200 - (57 x 3) = 29.
1. 57 x 3 = 171. 200 - 171 = 29
2. 200 - 171 = 29. 29 = 29.
Thus meaning the man is 57 years old. I hope this helps!
1st answer: x= -7/2 -5/4y + 1/2z
2nd answer: x= 6 + 1/7y -2/7z
3rd answer: x= 28/3 -1/3y -4/3z
Steps
4x + 5y -2z = -14
Move variables to the right
4x = -14 -5y +2z
Divide both sides by 4
X= -7/2 -5/4y +1/2z
Answer
X= -7/2 -5/4y +1/2z
7x -y +2z =42
Move variables to the right
7x = 42 +y -2z
Divide both sides by 7
X= 6 + 1/7y -2/7z
Answer
X= 6 + 1/7y -2/7z
3x +y +4z = 28
Move variables to the right
3x =28 -y -4z
Divide both sides by 3
X= 28/3 -1/3y -4/3z
Answer
X= 28/3 -1/3y -4/3z
Answer:
3x - 4y = - 12
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Calculate the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m =
with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line
m = =
The line crosses the y- axis at (0, 3) ⇒ c = 3
y = x + 3 ← in slope- intercept form
Multiply through by 4
4y = 3x + 12 or
3x + 12 = 4y ( subtract 12 from both sides )
3x = 4y - 12 ( subtract 4y from both sides )
3x - 4y = - 12 ← in standard form