Answer:
A, B, F
Step-by-step explanation:
2/3 - x + 1/6 = 6x
Collect like terms
2/3 + 1/6 = 6x + x
(4+1) / 6 = 7x
5/6 = 7x
x = 5/6 ÷ 7
= 5/6 × 1/7
x = 5/42
a) 4 - 6x + 1 = 36x
4 + 1 = 36x + 6x
5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
b) 5/6 - x = 6x
5/6 = 6x + x
5/6 = 7x
This is equivalent to the third step of the simplification
c) 4 - x + 1 = 6x
4 + 1 = 6x + x
5 = 7x
x = 5/7
Not equivalent to any of the steps in the simplification above
d) 5/6 + x = 6x
5/6 = 6x - x
5/6 = 5x
x = 5/6 ÷ 5
= 5/6 × 1/5
x = 5/30
Not equivalent to any of the steps in the simplification above
e) 5 = 30x
x = 5/30
Not equivalent to any of the steps in the simplification above
f) 5 = 42x
x = 5/42
Equivalent to the last step of the simplification above
For an exponential distribution, the standard deviation is equal to the mean.
(a) the standard deviation is 4 miles.
262.5 miles
explanation 1/4 is half of 1/2 so 52.5 is half of 105 and then 210 for an hour of travel
Answer:
third option
Step-by-step explanation:
four times a number: 4n
add 8 to it: 4n + 8
All of this equals to -12.
Hence: 4n + 8 = -12
Answer:
y = -4/5x + 3
Step-by-step explanation:
Chose any two points on the line:
(5, -2)
(-5, 6)
Slope = (y2 - y1) / (x2 - x1)
6 -(-2) / -5 - 5
8 / -10
-4/5
Equation:
y = mx + b
Plug in x and y using any coords and then plug in m (the slope):
-2 = -4/5 * 5 + b
-2 = -20/4 + b
-2 = -5 + b
Add 5 on both sides:
3 = b
Now our equation is:
y = -4/5x + 3
Please let me know if I've done something wrong!