Answer:
The answer to your question is below
Step-by-step explanation:
Data
Volume = 24 in³
Process
1.- Find the prime factors of 24
24 2
12 2
6 2
3 3
1
2.- Volume of a rectangular package
Volume = length x height x width
3.- Possible values are, combine the prime factors to find the volume
Volume = 4 x 2 x 3 or
Volume = 2 x 4 x 3
Volume = 3 x 2 x 4
Volume = 2 x 2 x 6
Volume = 6 x 2 x 2
Volume = 2 x 6 x 2
Volume = 12 x 2 x 1
Volume = 1 x 12 x 2
Volume = 2 x 1 x 12
Answer:
Between 1000 and 5000 snowboards will make the function AP(x) >0.
Step-by-step explanation:
Since x can only take possitive values, we have that AP(x) = P(x)/x > 0 if and only if P(x) > 0.
In order to find when P(x) > 0, we find the values from where it is 0 and then we use the Bolzano Theorem.
P(x) = R(x) - C(x) = -x²+10x - (4x+5) = -x²+6x - 5. the roots of P can be found using the quadratic formula:

Therefore, P(1) = P(5) = 0. Lets find intermediate values to apply Bolzano Theorem:
- P(0) = -5 < 0 ( P is negative in (-∞ , 1) )
- P(2) = -4+6*2-5 = 3 > 0 (P is positive in (1,5) )
- P(6) = -36+36-5 = -5 < 0 (P is negative in (5, +∞) )
The production levels that make AP(x) >0 are between 1000 and 5000 snowboards (because we take x by thousands)
The correct answer would be 6.
To figure this out, you take the square root of 36 since area of a square is side x side.
Answer:
It is 5. I got it right on khan academy! Thanks for the answer!
Step-by-step explanation: