Answer: 4 outcomes
Step-by-step explanation:
For two number cubes, the total possible outcomes are:
6 events for the first and 6 events for the second, then the total number of combinations is 6*6 = 36
If the dice are different, the possible outcomes are:
Dice 1 = 3, Dice 2 = 2
Dice 1 = 2, Dice 2 = 3
Dice 1 = 4, Dice 2 = 1
Dice 1 = 1, Dice 2 = 4
Then we have 4 outcomes in the collection for event E.
Answer:
Step-by-step explanation:
First, look at y = log x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. A real zero occurs at x = 1, as log 1 = 0 => (1, 0). This point is also the x-intercept of y = log x.
Then look at y = log to the base 4 of x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. Again, a real zero occurs at x = 1, as log to the base 4 of 1 = 0 => (1, 0).
Finally, look at y=log to the base 4 of (x-2). The graph is the same as that of y = log to the base 4 of x, EXCEPT that the whole graph is translated 2 units to the right. Thus, the graph crosses the x-axis at (3, 0), which is also the x-intercept.
Answer
A. Many solution
Step by step explanation
Points on line 1 : (-3, 6) and (3, 4)
Points on line 2: (-6, 7) and (9, 2)
Now let's find the slope of the line 1
Slope formula =
Slope of line 1 = (4 - 6) / (3 - (-3)
= -2/(3 + 3)
= -2/6
Slope of line 1 = -1/3
The equation of the line y - y 1 = m(x - x1)
y - 6 = -1/3 (x - (-3))
y -6 = -1/3 (x + 3)
y -6 = -1/3x - 1
y = -1/3x + 5
Slope of line 2 = (2 - 7) / (9 -(-6))
= -5/(9 + 6)
= -5/15
Slope of line 2 = -1/3
The equation of line
y - y1 = m(x - x1)
y - 7 = -1/3(x - (-6))
y - 7 = -1/3(x + 6)
y -7 = -1/3 x - 2
y = -1/3 x + 5
The line 1 and line 2 have the same slopes and the same y-intercept. Both are the same equation. Therefore, there will be many solution.
Answer : A. 0 Solution
Thank you.
Answer: ?
Step-by-step explanation: