The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
It means it is asking for a large number so it can represent more of the population because the larger the number the more percent of population so the answer would be A
I'm pretty sure that it is 140. Hope I helped!
Answer:
x = -17/4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
3x + 5(2 + x) = 4x - 7
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Distributive Property] Distribute 5: 3x + 10 + 5x = 4x - 7
- [Addition] Combine like terms: 8x + 10 = 4x - 7
- [Subtraction Property of Equality] Subtract 4x on both sides: 4x + 10 = -7
- [Subtraction Property of Equality] Subtract 10 on both sides: 4x = -17
- [Division Property of Equality] Divide 4 on both sides: x = -17/4
