The vertex of this parabola is (49,4)
Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)
One of them is real and the other two are complex conjugate roots
Since the real root is 4, then
x = 4
Since the complex root is (1 - i), then
The other root will be the conjugate of it (1 + i)
x = (1 - i)
x = (1 + i)
To find f(x) we will multiply the three factors of it
We can get the factors from the zeroes
Subtract 4 from both sides
The first factor is (x - 4)
The second factor is (x - 1 + i)
The third factor is (x - 1 - i)
We will multiply them to find f(x)
Multiply it by (x - 4)
The answer is
Answer:
4/6
Step-by-step explanation:
2/3 = 4/6
4/6 x 1/6 = 4/6
jope it helps
and I oop-
Answer:
Can help things alot more easier,
Step-by-step explanation:
For instance, all the multiples of 9. Add up to 9
18
27
36
45
etc.
Answer:
10
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
2x³y³ + 3xy - 3x³y³ + x²y - xy + 2x²y
x = -1
y = 2
<u>Step 2: Evaluate</u>
- Substitute: 2(-1)³(2)³ + 3(-1)(2) - 3(-1)³(2)³ + (-1)²(2) - (-1)(2) + 2(-1)²(2)
- Exponents: 2(-1)(8) + 3(-1)(2) - 3(-1)(8) + 1(2) - (-1)(2) + 2(1)(2)
- Multiply: -16 - 6 + 24 + 2 - (-2) + 4
- Simplify: -16 - 6 + 24 + 2 + 2 + 4
- Subtract: -22 + 24 + 2 + 2 + 4
- Add: 2 + 2 + 2 + 4
- Add: 4 + 2 + 4
- Add: 6 + 4
- Add: 10
