To get the function y = <span>-2+5sin(pi/12(x-2)), the maximum value can be determined by differentiating the function and equating it to zero. The value of x will give the maximum value of the function.
dy/dx = 5 cos (pi/12 (x-2)) (pi/12)
dy/dx = 5 pi/12 cos(pi/12 (x-2))
Equate to zero</span>:
<span>5 pi/12 cos(pi/12 (x-2)) =0
pi/12 (x-2) = 3pi/2
x = 8
Substituting,
y= -2 + 5sin( pi/12 (8-2)
y = -1.86
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Lets say the number of adult tickets is x. This means the number of student tickets is 2x. So, 2x + x = 285, or 3x =285. The means x = 95. So the number of adult tickets sold is 95.
Answer:
See answer above.
Step-by-step explanation:
These are the ordered pairs on the graph: (-2, 5), (2, 3), (-3, -2), (0, -5), (3, -6)
The domain is the first point in teach ordered pair and the range is the second number in the ordered pair.
So the domain is {-2, 2 , -3, 0, 3}
Range is {5, 3, -2, -5, -6}
9514 1404 393
Answer:
smaller triangle area = 73 1/3 ft^2
Step-by-step explanation:
The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...
(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2
Answer:
x=20
Step-by-step explanation:
For A to be parallel to B, the angles of 5x+20 and 3x+60 must be equal.
5x+20=3x+60
2x=40
x=20
