Formula for finding the axis of symmetry: x = -b/2a
x^2 - 2x - 15
a = 1; b = -2 (plug these into the formula above)
-(-2)/2(1) = 2/2 = 1
Let a₁ , a₂ , a₃ , a₄ ,... .be a given sequence.
The common ratio of this sequence is the following:
a₂/a₁ = a₃/a₂ = a₄/a₃ = r
Example: 5, 25, 125, 625, ...The common ration is:
25/5 = 125/25 = 625/125 = 5. So r=5 is the common ratio
Answer:
Step-by-step explanation:
6) the answer is option b
y = - x + 3
x - y = 1
From the graph, the point at which the lines of the two equations meet is the solution to the system of equations
The points = x = 2 and y = 1
If you substitute these values in option b, it satisfies the equations.
7) the correct option is d
-x + y = -3 - - - - - - -1
2x -y = 6 - - - - - - 2
If we solve using elimination method,
Multiply equation 1 by 2 and equation 2 by 1
-2x + 2y = -6
2x -y = 6
Adding both equations
y = 0 and substituting y = 0 in equation 2,
x = 3
So y = 0 and x = 3
So it has only one solution
8) The lines of the two equations meet at a point where x = 3 and y = 0
Option d is the correct answer
-x +y = -3
2x - y = 6
Substituting x = 3 and y = 0 in option d,
- 3 + 0 = -3
6 - 0 = 6
9) y = x-2
x = 17-4y
Substituting y = x - 2 in x = 17 - 4y, we have
x = 17 -4(x - 2)
Opening the bracket
x = 17 - 4x + 8
x + 4x = 17 + 8
5x = 25
x = 25/5 = 5
Answer:
9
Step-by-step explanation:
17 + 8x = 3x + 62
-3x +8x = -17 +62
5x= 45
x= 9
Answer:
0.5
Step-by-step explanation:
Sort the given data in ascending order:
47, 48, 50, 52, 53, 53, 55, 68
Possible outlier is number 68. Check whether this number is an outlier:
The interquartile range is
Multiply it by 1.5:
and add to third quartile:
Since number 68 is an outlier.
The median of the sample with outlier is
The median of the sample without outlier is 52
The difference between the median of the data, including the possible outlier and excluding the possible outlier is 52.5-52=0.5