Answer:
6
Step-by-step explanation:
From the blue graph of f(x) we can see that the function value is -6 when x = 6. Similarly, g(5) = -5.
Then: 4*f(6) - 6*g(5) becomes:
4*(-6) - 6*(-5), or
-24 + 30 = 6
Hello,
Vertices are on a line parallele at ox (y=-3)
The hyperbola is horizontal.
Equation is (x-h)²/a²- (y-k)²/b²=1
Center =middle of the vertices=((-2+6)/2,-3)=(2,-3)
(h+a,k) = (6,-3)
(h-a,k)=(-2,-3)
==>k=-3 and 2h=4 ==>h=2
==>a=6-h=6-2=4 (semi-transverse axis)
Foci: (h+c,k) ,(h-c,k)
h=2 ==>c=8-2=6
c²=a²+b²==>b²=36-4²=20
Equation is:
D = adult
c = child
t = total admission cost
t = 8d + 5c
t = 8(2) + 5(3) = $31