Answer:
21 adults and 139 children
Step-by-step explanation:
x=adult (8$)
y=child (5$)
8x + 5y =863
x+y=160
-x -x (subtract x on both sides)
y= -x + 160
plug that in for y on the other equation
8x + 5(-x + 160) =863
distribute 5 to both
8x + -5x + 800 = 863
combine both x values
3x + 800 = 863
-800 -800 (subtract on both sides)
3x = 63
divide by 3 on both sides
x = 21 adults
now plug x in one of the equations
21 + y = 160
-21 -21
y=139 children
-x^2+4x-4
dy/dx=-2x+4, d2y/dx2=-2
Since acceleration is a constant negative, when dy/dx, velocity, equals zero, it is at the absolute maximum value for f(x).
dy/dx=0 when -2x+4=0, 2x=4, x=2
f(2)=-x^2+4x-4=-4+8-4=0
So there is a maximum of zero
...
.5x^2+8x+5
dy/dx=x+8, d2y/dx2=1
Since d2y/dx2, acceleration is a constant positive, when dy/dx=0, it is at the point when f(x) is at an absolute minimum.
dy/dx=0 when x+8=0, x=-8
f(-8)=.5x^2+8x+5=32-64+5=-27
So there is a absolute minimum of -27
...
-2(x+1)^2+5
dy/dx=-4(x+1)=-4x-4, d2y/dx2=-4
dy/dx=9 when -4x-4=0, -4x=4, x=-1
f(-1)=5
So the vertex is (-1, 5) and the axis of symmetry is the vertical line x=-1
Answer:
<em>( - 15, - 16 ) </em>
Step-by-step explanation:
Coordinates of midpoint are ( 
, 
)
( - 5 + x ) / 2 = - 10 ⇒ x = - 15
( 4 + y ) / 2 = - 6 ⇒ y = - 16
<em>( - 15, - 16 )</em>
No because 67.20 rounded to the nearest tenth is 67.2
The answer is 15a3+8a2+15t
