Answer: E. None of the above
Step-by-step explanation:
The equation to solve the problem should look like...2x = $2.91 / 3
Step-by-step explanation:
<u>Given</u>
- f(x) = 4x³ + 3x² - 2x - 1
<u>Divide it by the following:</u>
<u>(a) 2x + 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 2x²) + (x² + 1/2x) - (5/2x + 5/4) + 1/4 =
- 2x²(2x+1) + 1/2x(2x + 1) - 5/4(2x + 1) + 1/4 =
- (2x + 1)(2x² + 1/2x - 5/4) + 1/4
Quotient = 2x² + 1/2x - 5/4
Remainder = 1/4
<u>(b) 2x - 3</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - 6x²) + (9x² - 13.5x) + (11.5x - 17.25) + 16.25 =
- (2x -3)(2x² + 4.5x + 5.75) + 16.25
Quotient = 2x² + 4.5x + 5.75
Remainder = 16.25
<u>(c) 4x - 1</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ - x²) + (4x² - x) - (2x - 1/2) - 3/2 =
- (4x - 1)(x² + x - 1/2) - 3/2
Quotient = x² + x - 1/2
Remainder = - 3/2
<u>(d) x + 2</u>
- 4x³ + 3x² - 2x - 1 =
- (4x³ + 8x²) - (5x² + 10x) + (8x + 16) - 17 =
- (x + 2)(4x² - 5x + 8) - 17
Quotient = 4x² - 5x + 8
Remainder = - 17
Answer:
0.69
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the sine is the ratio ...
Sin = Opposite/Hypotenuse
For angle P, the opposite side is OQ. The hypotenuse is the longest side, PO. So, the sine is ...
sin(P) = OQ/PO = 20/29
sin(P) ≈ 0.69
Answer:
g(1) = -6
Step-by-step explanation:
g(x) = -2x^2 - 4x
You want to solve for g(1). To do this make every x value in the original equation become 1.
g(1) = -2(1)^2 - 4(1)
Evaluate the exponent.
g(1) = -2(1) - 4(1)
Multiply.
g(1) = -2 - 4
Subtract.
g(1) = -6
K=2;
g(x)=(.5)x-2
g(x) is f(x) without the "shift" and it said the shift was 2 units, so k is 2
