Greetings!
When reflecting a shape over the x-axis, you simply change the number to its opposite positive/negative equivalent.
This means that the new co-ordinates would be (-5,1) , (-5,4) and (-2,4).
Hope this helps!
Answer:
(h, k )
Step-by-step explanation:
given the standard form of an absolute function
f(x) = a| x - h | + k , then
vertex = (h, k )
Answer:
w=22
Step-by-step explanation:
5(w-2)+10=3(2w-9)+5
1) Use the Distributive Property for 5(w-2) and 3(2w-9):
5w-10+10=6w-27+5
2) Combine alike terms:
5w=6w-22
3) Add a 22 to both sides:
22+5w=6w
4)Subtract 5w from both sides:
w=22
Answer:
2144.66in³
Step-by-step explanation:
Radius = 8 inches.
To determine the amount of sphere to make the ball, we'll have to find its volume.
Volume of a sphere = 4/3 * Πr³
V = 4/3*Πr³
Π = 22/7
V = 4/3 * 22/7 * 8³
V = 2144.66inches³
V = 2144.66in³
The amount of plastic required is 2144.66in³.
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.
