So when you are trying to find the solution to the system of equations make sure that you have it where y= -4/5x-6 and y= -30 are written like this:
-30=-4/5x-6
And then solve for x:
Add 6 on both sides.
-24=-4/5x
Then multiply by the reciprocal of -4/5.
-5/4*-24=-5/4*-4/5x
x=30
But then you are gonna want to plug 30 in for x in y=-4/5x-6 to make sure that it is the same as y=-30.
Answer:
increase
Step-by-step explanation:
- Given data is: 71, 67, 67, 17, 69, 84, 21, 87
- Arranging in ascending order we find: 17, 21, 67, 67, 69, 71, 84, 87
- 4th term = 67, 5th term = 69
- -> median = Sum of 4th and 5th term/2 = (67 + 69)/2 = 132/2 = 66
- Now, when one of the 67 is replaced by 71, the new data set in ascending order will be: 17, 21, 67, 69, 71, 71, 84, 87
- Here, 4th term = 69, 5th term = 71
- New median = (69 + 71)/2 = 140/2 = 70
- -> new median > initial median
CONCLUSION: Median will increase if the number 71 replaced one of the 67's in the set.
Answer:
the answer is 589.4
Step-by-step explanation:
In doing this equation you do the order of operations:
(2.1 x 104)= 218.4
(3.5 x 106)= 371
you then add the answers together to get:
218.4 + 371 = 589.4
MN + NP = MP
6x - 7 + 2x + 3 = 60
8x - 4 = 60
8x = 64
x = 8
MN = 6(8) - 7 = 56 - 7 = 49
answer
x = 8
MN = 49