Answer:
x=6
Step-by-step explanation:
Step 1:
Subtract 3x from both sides:
4x + 8 - 3x = 3x + 14 - 3x
x + 8 = 14
Step 2:
Subtract 8 from both sides:
x + 8 - 8 = 14 - 8
x = 6
Step-by-step explanation:
Given
y = x + 3.....equation 1
y = x - y
or y + y = x
or 2y = x
or y = x / 2......equation 2
Now
Putting equation 2 in equation 1
x / 2 = x + 3
x - x/2 = - 3
<u>2x</u><u> </u><u> </u><u>-</u><u> </u><u>x </u> = - 3
2
x / 2 = -3
x = - 6
Now
y = x/ 2
= - 6/2
= - 3
Hope this helps
Answer:
Correct choice is A
Step-by-step explanation:
If a function has an inverse, then there is at most one x-value for each y-value.
The tangent function is periodic with period
Hence, at each value for which
is defined,
for each integer n. Therefore, the function
does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form

where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes
and 
Answer:
the probability is 4/9 (44,44%)
Step-by-step explanation:
Assuming that each point inside the square is equally probable, then the probability is uniformly distributed in area of the square. Thus
probability = area where condition is true / total area of the square
for a circle of radius 1/3 inside the square ,the area where this condition is satisfied is a square with sides 1-1/3 = 2/3 , thus
probability = (2/3)²/1² = 4/9
thus the probability is 4/9 (44,44%)