Answer:
- Minimum 100 bicycles
- Minimum cost is 13500
Step-by-step explanation:
<u>Given function:</u>
- C(x) = 3x^2- 600x + 43500
a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
<u>Vertex of the given function is:</u>
b.
<u>Cost at vertex is:</u>
- C(100) = 3*100^2 - 600*100 + 43500 = 13500
Answer:
x=39
Step-by-step explanation:
Answer:
Step-by-step explanation:
The fraction of bran muffins is expressed as bran muffins over total muffins.
Total muffins = 6 + 2 + 4 = 12 and bran muffins = 4, thus
fraction = 
← divide ( cancel ) each value by 4 )
fraction = ← in simplest form
Answer:
(3 x + 5) (x + 5)
Step-by-step explanation:
Factor the following:
3 x^2 + 20 x + 25
Hint: | Factor 3 x^2 + 20 x + 25 by finding factors of 3×25 whose sum is 20.
Factor the quadratic 3 x^2 + 20 x + 25. The coefficient of x^2 is 3 and the constant term is 25. The product of 3 and 25 is 75. The factors of 75 which sum to 20 are 5 and 15. So 3 x^2 + 20 x + 25 = 3 x^2 + 15 x + 5 x + 25 = 5 (3 x + 5) + x (3 x + 5):
5 (3 x + 5) + x (3 x + 5)
Hint: | Factor common terms from 5 (3 x + 5) + x (3 x + 5).
Factor 3 x + 5 from 5 (3 x + 5) + x (3 x + 5):
Answer: (3 x + 5) (x + 5)
