Answer:
(a) P(1) = 3
(b) P(-2) = 15
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
P(x) = x³ + 4x² - 3x + 1
P(1) is x = 1
P(-2) is x = -2
<u>Step 2: Evaluate</u>
<em>P(1)</em>
- Substitute: P(1) = 1³ + 4(1)² - 3(1) + 1
- Exponents: P(1) = 1 + 4(1) - 3(1) + 1
- Multiply: P(1) = 1 + 4 - 3 + 1
- Add: P(1) = 5 - 3 + 1
- Subtract: P(1) = 2 + 1
- Add: P(1) = 3
<em>P(-2)</em>
- Substitute: P(-2) = (-2)³ + 4(-2)² - 3(-2) + 1
- Exponents: P(-2) = -8 + 4(4) - 3(-2) + 1
- Multiply: P(-2) = -8 + 16 + 6 + 1
- Add: P(-2) = 8 + 6 + 1
- Add: P(-2) = 14 + 1
- Add: P(-2) = 15
Adding the equations to eliminate p would be the correct step because when you add the equations together, the variable p would cancel out and be eliminated leaving you with 2w=35 you can then solve for the value of w which you can then input to find the value of p, allowing you to solve for the values of both p and w.
Answer: New Price = Rs. 1408
Step-by-step explanation: Selling Price = Rs 1,382.4
Profit = 8%
Increased Profit = 10% (we'll discuss that later)
Costing Price:
Let CP be x
x = 1382.4 - 0.08x
=> x+0.08x = 1382.4
=> 1.08 x = 1382.4
Dividing both sides by 1.08
=> x = Rs 1280
So, the cost price is Rs 1280
Now, Let's discuss about the increased Profit:
Profit %age = 10%
Profit = Profit %age * CP / 100
Profit = 12800/100
Profit = Rs. 128
New Price:
New Price = CP + Profit
New Price = 1280+128
New Price = Rs. 1408