The given function is a quadratic equation. Any quadratic equation can be written in the form :
The given points can be taken as (2,23) ,(4,55) and(10,247)
We form three equations with the given points
For point (2,23 ) the equation is
23 = 4a + 2b + c
For point (4,55) the equation is
55 = 16a + 4b + c
For point (10,247) the equation is:
247 = 100a+10b+c.
Solving the three equations for a,b,c we have :
32 = 12a + 2b
16 = 6a + b
and,
192 = 84 a + 6b
32 = 14a + b
Solving for a,b,c we have:
a=2 b=4 c=7
The quadratic equation is c(x)=
When x=8
c(x)=
]
Option C. $167 is the right answer.
Answer:
42
Step-by-step explanation:
we could use inverse operation and multiply 7 by 6
Answer: (The sides are therefore chords in the circle!) This conjecture give a relation between the opposite angles of such a quadrilateral. It says that these opposite angles are in fact supplements for each other. In other words, the sum of their measures is 180 degrees.
Answer:no the preduct are not equal
Step-by-step explanation:
Answer:
r = 3.628 cm
h = 10.88 cm
cost = 11.16 cents
Step-by-step explanation:
we know the total volume = 450 cc
then pi * r ^ 2 * h = 450
solved for h:
h = 450 / (pi * r ^ 2)
h = 143.31 / r ^ 2
now the total cost of packing = 2 * 3.14 * r * h * 0.03 + 3.14 * r ^ 2 * 0.03 + 3.14 * r ^ 2 * 0.06
= 0.1884 * r * h + 0.0942 * r ^ 2 + 0.1884 * r ^ 2
= 0.1884 * r * h + 0.2826 * r ^ 2
putting the value of h in the previous equation we obtain
total cost = 27 / r + 0.2826 * r ^ 2
we have to minimize this to differentiate it and equate it with 0
:
-27 / r ^ 2 + 0.5652 * r = 0
r ^ 3 = 27 / 0.5652
r ^ 3 = 47.77
r = 3,628 cm
replacing:
we get h = 450 / (3.14 * 3,628 ^ 2) = 10.88 cm
the total cost can be calculated for the equation
we get the total cost = 27 / 3,628 + 0.2827 * 3,628 ^ 2 = 11.16 cents
