How do you write these two equations in standard form?
F=-.04m+12
F=-.08m+12
http://courses.wccnet.edu/~palay/precalc/22mt01.htm
To write the given equations in standard form, we need to rearrange them so that all the variables are on one side and the constants are on the other side. The general form for a standard linear equation is: Ax + By = C, where A, B, and C are constants.
Let's begin with the first equation, F = -0.04m + 12.
Step 1: Move the F term to the left side by subtracting F from both sides:
F - F = -0.04m + 12 - F
Simplifying, we get:
0 = -0.04m + 12 - F
Step 2: Rearrange the terms to have the variables on the left side and the constant on the right side:
0.04m - F = 12
Since the coefficient in front of the m term is a decimal, we can multiply the entire equation by 100 to eliminate the decimal:
100 * (0.04m - F) = 100 * 12
4m - 100F = 1200
So, the first equation, F = -0.04m + 12, written in standard form is:
4m - 100F = 1200.
Now, let's move on to the second equation, F = -0.08m + 12.
Step 1: Move the F term to the left side by subtracting F from both sides:
F - F = -0.08m + 12 - F
Simplifying, we get:
0 = -0.08m + 12 - F
Step 2: Rearrange the terms to have the variables on the left side and the constant on the right side:
0.08m - F = 12
Again, since the coefficient in front of the m term is a decimal, we can multiply the entire equation by 100 to eliminate the decimal:
100 * (0.08m - F) = 100 * 12
8m - 100F = 1200
So, the second equation, F = -0.08m + 12, written in standard form is:
8m - 100F = 1200.