Answer:
C: (3,1)
Step-by-step explanation:
y = -4x² + 24x - 35
y = -4(x² - 6x) - 35
y = -4[x² - 2(x)(3) + 3² - 3²] - 35
y = -4(x - 3)² -4(-9) - 35
y = -4(x - 3)² + 36 - 35
y = -4(x - 3)² + 1
Vertex (3,1)
5/54 or approximately 0.092592593
There are 6^3 = 216 possible outcomes of rolling these 3 dice. Let's count the number of possible rolls that meet the criteria b < y < r, manually.
r = 1 or 2 is obviously impossible. So let's look at r = 3 through 6.
r = 3, y = 2, b = 1 is the only possibility for r=3. So n = 1
r = 4, y = 3, b = {1,2}, so n = 1 + 2 = 3
r = 4, y = 2, b = 1, so n = 3 + 1 = 4
r = 5, y = 4, b = {1,2,3}, so n = 4 + 3 = 7
r = 5, y = 3, b = {1,2}, so n = 7 + 2 = 9
r = 5, y = 2, b = 1, so n = 9 + 1 = 10
And I see a pattern, for the most restrictive r, there is 1 possibility. For the next most restrictive, there's 2+1 = 3 possibilities. Then the next one is 3+2+1
= 6 possibilities. So for r = 6, there should be 4+3+2+1 = 10 possibilities.
Let's see
r = 6, y = 5, b = {4,3,2,1}, so n = 10 + 4 = 14
r = 6, y = 4, b = {3,2,1}, so n = 14 + 3 = 17
r = 6, y = 3, b = {2,1}, so n = 17 + 2 = 19
r = 6, y = 2, b = 1, so n = 19 + 1 = 20
And the pattern holds. So there are 20 possible rolls that meet the desired criteria out of 216 possible rolls. So 20/216 = 5/54.
Answer:
(first and brainliest??) 27 degrees
Step-by-step explanation:
The top triangle's missing angle is 75 degrees because 85+20=105 and 180-105=75. Knowing this, we know that the angle that's connecting the two triangles is also 75 degrees. 78+75=153 and 180-153=27
Answer:
even
Step-by-step explanation:
An even function is symmetrical about the y- axis.
The graph of the function given is symmetrical about the t- axis and is therefore even.
