Answer:
x=-6
QUESTION 31
Step-by-step explanation:
3x+5=2x-1
Subtract 5 from both sides
3x+5-5=2x-1-5
Simplify
3x=2x-6
Subtract 2x from both sides
3x-2x=2x-6-2x
QUESTION 32
1/3(6x+12) = 1/2(4x-8) + 8
1/2(4x-8) = 4x-8/2 +8
1/3(6x+12) = 4x-8/2 +8
2(6x+12) = 12(x-2) + 48
12x+24
12x+24 = 12x+24
12x+24 - 24 = 12x+24 - 24
12x=12x
0=0
Answer:
1.01
Step-by-step explanation:
Mean with outliner = (39.55 + 40.51 + 41.01 + 37.76+ 35.32 + 33.28 + 34.38 + 36.48 + 39.87 + 50.32 + 40.59 + 41.71)/12 = 39.23 seconds.
In this case, the outlier comes to be the data: 50.32. If we don't consider that data point, the mean equals:
Mean wihout outliner = (39.55 + 40.51 + 41.01 + 37.76+ 35.32 + 33.28 + 34.38 + 36.48 + 39.87 + 40.59 + 41.71)/11 = 38.22
The difference is: 39.23 - 38.22 = 1.01
Given:
Translation of x represented by the translation rule <-6,8>.
To find:
The correct statement for the given rule of translation.
Solution:
Rule of translation is <-6,8>.
Here, x-coordinate represents horizontal shift and y-coordinate represents vertical shift.
x-coordinate is -6, which is negative. So, the figure translated 6 units left.
y-coordinate is 8, which is positive. So, the figure translated 8 units up.
Thus, translation in words is defined as "6 units to the left and 8 units up".
Therefore, the correct option is B.
