Answer:
christmas
Step-by-step explanation:
Zeroes:
We must solve
To do so, we define the auxiliary variable 
. The equation becomes
The quadratic formula yields the solutions
Substituting back gives
So, the zeroes are -6, -3, 3, 6.
Turning points:
Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.
We have
If we set the derivative to be zero, we have
So, the derivative is zero if x=0 or
X-1/3 = y-2/4
4(x-1) = 3(y-2)
4x-4 = 3y-6
4x-3y = -2 --->1
4x +3y =8 ---->2
2-1 ; 6y = 10
y = 10/6 or 5/3
And 4x + 3(10/6) = 8
4x =3
X = 3/4
Two events are occurring:
1) Rolling a die
Sample Space = {1,2,3,4,5,6}
Total number of outcomes in sample space = 6
Favorable outcomes = Odd number
Number of Favorable outcomes = 3
Probability of getting an odd number = 3/6
2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2
The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12
Thus there is 3/12 = 1/4 (0.25 or 25%) probability of getting an odd number and a head in given scenario.
So correct answer is option C
Which set of ordered pairs represents a function? {(0, 1), (1, 3), (1, 5), (2, 8)} {(0, 0), (1, 2), (2, 6), (2, 8)} {(0, 0), (0,
11111nata11111 [884]
Answer: {(0, 2), (1, 4), (2, 6), (3, 6)}
Step-by-step explanation:
For a relation to be considered a function, each x-value needs to have one corresponding y-value--it cannot have more than 1.
Since all the other sets of ordered pairs feature points with two x-values with different y-values, the set above is the only function of the provided options.
