Answer:
hello : k = - 9
Step-by-step explanation:
h(x) =x²+3 and g(x) = x² - 6.....(*)
g(x) = x² +3 + k.....(**)
by (*) and (**) : 3+k = -6
3+k - 3 = - 6 - 3
k = - 9
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a
a = -31/42.25
a = -124/169
Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
The heart pumps 750*24/9=2000 gallons, and the kidney pumps 100*24/6=400 gallons. This is a difference of 2000-400=1600 gallons.
