According to the triangle sum theorem, the total of all angles in a triangle must equal 180 degrees. Given that one angle measures 90 degrees, we can determine the other angles by calculating 180-90=90. The remaining two angles must sum to 90 degrees, precisely.
The expression in question is:
f(x) = x³ – 2x² – x + 2
To determine the roots, follow these steps:
1. Set the equation to zero:
0 = x³ – 2x² – x + 2
2. Factor the equation to get:
(x-2)(x-1)(x+1) = 0
3. The roots can be identified as follows:
x1 = -1
x2 = 1
x3 = 2
Answer:
- The profit can be expressed as 70x + 50
- If 240 phones are sold, the profit amounts to $16,850
Detailed explanation:
The revenue function R(x) is provided as 
The cost function C(x) is given as 
Profit is calculated by subtracting cost from revenue, expressed as Profit = Revenue − Cost
We substitute the given revenue and cost functions into this formula.
Denote the profit function as P(x).
Therefore, the profit function formula simplifies to 70x + 50
Since x denotes the quantity of phones sold, to find the profit when 240 phones are sold, we substitute x = 240 into the profit expression above.
Hence, selling 240 phones yields a profit of $16,850
Answer:
The solution to this problem indicates that Hernry invested $18,000 in stocks and $6,000 in bonds.
Step-by-step explanation:
First, you need to multiply 6 by 3. The outcome is 18, meaning it is three times higher than the bond amount. Next, subtract $24,000 from $18,000, which gives you $6,000, representing the bond investment. Hence, it is three times less than the stocks as the question describes.
