revenue = price * #sold
= p * (128-4p)
= -4p2 + 128p max p will be - b/2a = -128/-8 = 16
max revenue will be -4(162) + 128 (16) = 1024
3 (x+y) = xy + 2
x-y = (x+y)/2 -1 Two equations two unknowns .... can you solve from here?
3.5 hours x 18 m/hr = 63 miles
x = 63 cos 293 =..........
y = 63 sin 293 = ..........
this is north west
x^2 + y^2 = 4(x + y).=
x^2 -4x + y^2-4y = 0
(x-2)^2 + ( y-2)^2 = 8 this is a circle with center at 2,2 and r = sqrt 8 max will be 2 + sqrt 8
John 50 000 (1 + .04)^2 = 54080.00
Patricia 50000 (1+.01)^8 = 54142.84 You can finish......
-x^2+8x max will occcur at x = -b/2a = - 8 / (-2) = 4
value of the function will be - (4^2) + 8(4) = 16
b = boys
g = girls = 325-b
b+25 + .95(325-b) =341 solve for b
d = distance r = rate d/r = time
d/40 + d /70 = 5.5
110d = 5.5 *70*40
d= 140 km
There are no dimensions of any kind on your diagram or in your question.....this cannot be answered with the info you have posted.....
Arrange it in standard form (x-h)^2 + (y-k)^2 = r^2 by completing the squares for x and y
(x-1)2 + (y-0)2 = 25 center is at 1, 0 r = 5 (as guest posted)