(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3
y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b
so ur equation is : y = 3x - 4
17. On average, Nestor works 7.5 hours of overtime in 4 weeks, so works an average of 7.5/4 = 1.875 overtime hours per week.
On average, each week Nestor gets paid for 7.5×5 + 2×1.875 = 41.25 hours, so is paid*
... (41.25 h)×($7.42/h) = $306.075
Each week Rita gets paid for 8×5 + 1.5×3 = 44.5 hours, so is paid
... (44.5 h)×($7.64/h) = $339.98
Their combined earning for a week are $306.075 + 339.98 = $646.055, so over a period of 12 weeks, they are paid a total of
... (12 weeks)×($646.055/week) = $7,752.66
18. Assuming Robin is paid time and a half for overtime, she was paid for
... 40 + 1.5×6 = 49 . . . hours
Then her hourly pay was ($392/week)/(49 hours/week) = $8.00 per hour
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* The half-cent that shows up in Nestor's average weekly pay does not actually show up in Nestor's paycheck. Here, it is an artifact of dividing his monthly hour total by 4 to get a weekly average. Nestor's total pay for any given week is whole number of cents.
Answer:
- 15 = -3c +12
- -3n +8 = -7
- 5z -40 = 10
- 3.4s -35 = 50
Step-by-step explanation:
Usually, you're asked to "simplify" an equation, meaning that you eliminate parentheses and combine like terms. Asking for "simplest form" suggests something different. The simplest form is the form that has the variable equal to a constant--the solution, in other words.
We suspect you want the <em>simplified form</em>, but since you asked for the <em>simplest form</em>, that is here, too.
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1. 15=-3(c-1)+9
15 = -3c +3 +9
15 = -3c +12 . . . . . simplified form of the given equation
-1 = c . . . . . . . . . . "simplest" form
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2. 2(1.5n+4)-6n=-7
3n +8 -6n = -7
-3n +8 = -7 . . . . . . simplified form of the given equation
n = 5 . . . . . . . . . . . "simplest" form
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3. 2(z-20)+3z=10
2z -40 +3z = 10
5z -40 = 10 . . . . . . simplified form of the given equation
z = 10 . . . . . . . . . . "simplest" form
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4. 2/5s -2+3(s-11)=50
0.4s -2 +3s -33 = 50
3.4s -35 = 50 . . . . simplified form of the given equation
s = 25 . . . . . . . . . . "simplest" form
Answer:
answer is 1
Step-by-step explanation:
