Answer:
3.125 mg/ oz
Step-by-step explanation:
Amount of instant tea = 24 ounces
Amount of green tea = 12 ounces
Caffeine in instant tea = 24/8*30= 90 mg/oz
Also, caffeine in green tea = 12/8*15 =22.5 mg/oz.
Total amount of mixture= 24+12= 36 ounce
Total amount of caffeine in the mixture = 90+22.5 = 112.5 mg/oz
Caffeine per ounce in the final mixture = 112.5 / 36 = 3.125 mg/ oz
hello :
at the point where a=2 y = 4(2)-5 =3 (commun the curve and the tangent)
so :f(2) = 3
f'(2) =4 (slope of the tangent )
A graph shows the function can be factored as
f(x) = (x -1)((x-8)² +1)
There is one real root and there are two complex roots. The latter can be found from the vertex form factor:
(x - 8)² + 1 = 0
(x - 8)² = -1
x - 8 = ±√(-1) = ±i
x = 8 ± i
The zeros of the function are {1, 8-i, 8+i}.