Answer:
Equation: <u>3x + 5x = 40</u>
Earned Per Hour: <u>x = 5</u>
Step-by-step explanation:
Since it's an equation, there has to be an equal sign. The total is 40 and the variable is x. You babysit on Friday and Saturday. On Friday, 3 hrs, and on Saturday, 5 hrs. Your paycheck is x. So far the equation is:
<u>3x + 5x = 40</u>
This is saying that for 3 hours on Friday, you got x money per hour plus the 5 hours on Saturday. Which equals 40 dollars total. Now that we know the equation, we can solve.
First we have to combine like terms. So that's <u>3x</u> plus <u>5x</u> which is <u>8x</u>:
8x = 40
To find x, you divide 40 by 8 to get 5.
<u>x = 5</u>
Answer:
28.574
Step-by-step explanation:
18.2 x 3.14 then divied by 2
Answer:
b. y-y1 = m(x-x1)
Step-by-step explanation:
It's a matter of definition. There are perhaps a dozen useful forms of equations for a line. Each has its own name (and use). Here are some of them.
- slope-intercept form: y = mx + b
- point-slope form: y -y1 = m(x -x1)
- two-point form: y = (y2-y1)/(x2-x1)(x -x1) +y1
- intercept form: x/a +y/b = 1
- standard form: ax +by = c
- general form: ax +by +c = 0
Adding y1 to the point-slope form puts it in an alternate form that is useful for getting to slope-intercept form faster: y = m(x -x1) +y1. I use this when asked to write the equation of a line with given slope through a point, with the result in slope-intercept form.