1. x -    4
x - 6|x² - 10x + 24
- (x² - 6x)
-4x + 24
- (4x + 24)
0
The answer is C.

2. A. 9x² + 12x - 3
3(x²) + 3(4x) - 3(1)
3(x² + 4x - 1)

B. 9x² + 3x - 5
Not Factored

C. 6x² + 10x - 4
2(3x²) + 2(5x) - 2(2)
2(3x² + 5x - 2)
2(3x² + 6x - x - 2)
  2(3x(x) + 3x(2) - 1(x) - 1(2))
  2(3x(x + 2) - 1(x + 2))
  2(3x - 1)(x + 2)

D. 6x² + 7x - 6
Not Factored

The answer is C.

3. 3x³ - 4x² + 3x - 6
x + 2|3x⁴ + 2x³ - 5x² + 0x - 4
- (3x⁴ + 6x³)
-4x³ - 5x²
- (-4x³ - 8x²)
3x² + 0x
  - (3x² + 6x)
-6x - 4
  - (-6x - 12)
8
The answer is A.

7 0

2 years ago

(07.03 MC)

Umnica [9.8K]

The probability of pulling a blue marble and the coin landing tails up is 360/2500

<h3>How to determine the probability?</h3>

The tables of values are given as:

Color Times

Blue 18

Green 20

Yellow 12

Heads Tails

20 30

The probability of obtaining a blue marble is:

P(Blue) = 18/50

The probability of landing tails up is:

P(Tail) = 20/50

The required probability is:

P = P(Blue) * P(Tail)

This gives

P = 18/50 * 20/50

Evaluate the product

P = 360/2500

Hence, the probability of pulling a blue marble and the coin landing tails up is 360/2500