Total number of possible outcomes = 36
Total number of outcomes with sum even = 18
P(even) = 18/36 = 1/2
Answer: 1/2
Answer:
Slope: 2
y-intercept: (0, -4)
x y
0 -4
2 0
Hope this helps! Can I have Brainliest please?
See attachment below:
Solution: The commutative property of addition states that when two numbers are being added, their order can be changed without affecting the sum.
So is this just a free answer or?
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation = 
For real roots,

p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.