A números irracionais maiores que 3,5 é menores que 3
In all cases, the events are independent. That's why we have to multiply the results.
Probability that both numbers are greater than 6 if the same number can be chosen twice.
P = 3 / 9 * 3 / 9 = 1/9 because possible outcomes are the pairs (7,8), (7,9) and (8,9).
Probability that both numbers are less than 7 if the same number can be chosen twice
P = 6 / 9 * 6 / 9 = 4/9
Probability when both numbers are odd numbers less than 6 if the same numbers cannot be chosen twice
P = 3/9 * 2/8 = 1/12, odd numbers less than 6 are 1, 3 and 5. If the same number cannot be chosen depending on these numbers, we'll end up with 2 in possible outcome for the 2nd pair of the probability.
Probability that both numbers are even numbers if the same numbers cannot be chosen twice is
P = 4/9 * 3/9 = 4/27. The same logic is possible in this case, as well
Answer:
vertex = (2, - 9 )
Step-by-step explanation:
Given a quadratic in standard form : ax² + bx + c : a ≠ 0
Then the x- coordinate of the vertex is
= - ![\frac{b}{2a}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B2a%7D)
x² - 4x - 5 ← is in standard form
with a = 1, b = - 4, thus
= -
= 2
Substitute this value into the quadratic for corresponding value of y
(2)² - 4(2) - 5 = 4 - 8 - 5 = - 9
vertex = (2, - 9 )
Answer:
4. F(x) = (x -8)^2 -6
Step-by-step explanation:
The function ...
f(x) = (x -h)^2 +k
shifts the parent function h units to the right and k units up. Here, the parent function is shifted right and down, so h > 0, k < 0. This matches choice 4.
F(x) = (x -8)^2 -6
Answer:
(7,11) 20 characters long