Answer:
x = 24.
r
0.
Step-by-step explanation:
2. The given equation is:

a) To eliminate the fractions multiply the equation throughout by the LCM of the denominators of the fraction. In this case, the LCM of (2, 3). The LCM is 6. So, multiply the entire equation by 6.
b) Half of the difference between an integer and 4 equals the sum of one - third of the integer and 2. Find the integer.
c) We have the equation:

Multiplying throughout by 6, we get:




Therefore, the solution of the equation is 24.
3. The given equation is: 
To solve for y:
We can rearrange the equation as:


or,
Note that we have to impose a condition on variable
. It would be that
can never be zero. i.e.,
. Otherwise, the value of
would be undefined.
Answer:
Option (d).
Step-by-step explanation:
Note: The base of log is missing in h(x).
Consider the given functions are
The function m(x) can be written as
...(1)
The translation is defined as
.... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).
Hence, option (d) is correct.
Answer:
13
Step-by-step explanation:
use pythagorean theorem
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Answer:
-1.5
Step-by-step explanation:
- 2 (y-2) = 4y + 8 - 2 (-4y - 3)
- 2y-4=4y+8+8y+6
- 2y-4=12y+14
- -4-14=14y-2y
- -18=12y
- y=-18/12
- y=-1.5