Answer:
x = 44
Step-by-step explanation:
log4(x + 20) = 3
Raise each side to the power of 4
4^ log4(x + 20) = 4^3
x+20 = 4^3
x+20 = 64
Subtract 20 from each side
x+20-20 = 64-20
x = 44
Answer:
-4
Step-by-step explanation:
('+')('-') = ('-')
Therefore,
(+2)(-2) = (-4)
<em>You missed adding the graph. After a little research, I am potentially able to find the graph. So, I am attaching the picture.</em>
Answer:
YES, the points shown on the line would be part of y = −2x.
Hence, option D is true.
Step-by-step explanation:
We know that when y varies directly with x, we get the equations such as
y ∝ x
y = kx
where k is the constant of variation.
Given the proportional relationship
y = −2x
so the value of k = -2
From the attached graph, it is clear that the points are (-2, 4) and (-1, 2)
substituting x = -2 and y = 4 in the equation
4 = -2(-2)
4 = 4
TRUE!
L.H.S = R.H.S
Hence, the point (-2, 4) is on the line y = −2x
In other words, the points (2, 4)
k = y/x
k = 4/-2
k = -2
Hence, the values of k correctly matches with the k value (k=2) in the equation y = -2x.
substituting x = -1 and y = 2 in the equation
2 = -2(-1)
2 = 2
TRUE!
L.H.S = R.H.S
Hence, the point (-1, 2) is on the line y = −2x
In other words, the points (-1, 2)
k = y/x
k = 2/-1
k = -2
Hence, the values of k correctly matches with the k value (k=2) in the equation y = -2x.
Therefore, we conclude that YES, the points shown on the line would be part of y = −2x.
Hence, option D is true.
Ok, if you roll the dice once - you'll get:
1, 2, 3, 4, 5 or 6.
If you roll it twice, you can get one of these combinations:
1,1 - 1,2 - 1,3 - 1,4 - 1,5 - 1,6
2,1 - 2,2 - 2,3 - 2,4 - 2,5 - 2,6
3,1 - 3,2 - 3,3 - 3,4 - 3,5 - 3,6
4,1 - 4,2 - 4,3 - 4,4 - 4,5 - 4,6
5,1 - 5,2 - 5,3 - 5,4 - 5,5 - 5,6
6,1 - 6,2 - 6,3 - 6,4 - 6,5 - 6,6
Here there are 36 combinations in total. Your chance of getting a 5 and a 2 is 1/36.
5,2 only appears once in this list of possible combinations. 2,5 doesn't count (as 2 would come up first).