Given:
Joanna :
works 14 hrs a week more than her line workers.
gets paid 6.50 more per hour than her line workers.
Line workers: h = hours per week ; d = dollars per hour.
Line worker = Dollar per hour * number of hours.
Joanna = (Dollar per hour + 6.50)(number of hours + 14 hours)
Line worker:
$576 = d * 36 hours
$576/36 = d
$16 = d hourly rate of line worker.
Joanna:
$16 + 6.50 = $22.50 hourly rate
36hrs + 14hrs = 50 hours per week.
Weekly pay of Joanna: $22.50 * 50 = $1,125
Answer: The answer is (D) Reflection across the line y = -x.
Step-by-step explanation: In figure given in the question, we can see two triangles, ΔABC and ΔA'B'C' where the second triangle is the result of transformation from the first one.
(A) If we rotate ΔABC 180° counterclockwise about the origin, then the image will coincide with ΔA'B'C'. So, this transformation can take place here.
(B) If we reflect ΔABC across the origin, then also the image will coincide with ΔA'B'C' and so this transformation can also take place.
(C) If we rotate ΔABC through 180° clockwise about the origin, the we will see the image will be same as ΔA'B'C'. Hence, this transformation can also take place.
(D) Finally, if we reflect ΔABC across the line y = -x, the the image formed will be different from ΔA'B'C', in fact, it is ΔA'D'E', as shown in the attached figure. So, this transformation can not take place here.
Thus, the correct option is (D).
Answer:
D
Step-by-step explanation:
360h+6,400 >8,020, with a solution is h> 4.
Answer: Function
f(x) = -2(x-105)^2 +18,050
Step-by-step explanation:
Because only this function satisfies both conditions i.e.
Condition : 1
Profit = 0, when x(items sold) = 10
f(10) = -2(-95)^2 + 18,050 = 0
Condition :2
Profit = 1 , when x = 105
f(105)= -2(105-105)^2 + 18,050 = -2(0) +18,050
f(105) = 18,050.