Answer:
No Real Solutions
Step-by-step explanation:
So we have:

First, determine the domain restrictions. The expression under the radical cannot be less than 0. Therefore:

Therefore, our final answers must be greater than or equal to 3:
Now, going back to the original equation, subtract x from both sides:

Now, square both sides:

Distribute:

Subtract 4x and add 12 to both sides:

This isn't factor-able. Let's use the quadratic formula. a is 1, b is -4 and c is 12:

Substitute:

Simplify the radical:

The number under the radical is negative. In other words, there are no real solutions.
Answer:
It is the point on a plane (a four quadrant plane) where a line crosses through the y-axis
Step-by-step explanation:
Answer:
To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Step-by-step explanation:
Answer:

Step-by-step explanation:
Find the LCM of the denominators and then solve:


Answer:
Step-by-step explanation:
- The speed of the boat in the lake = x
- The speed of the current = 3 km/h
<u>Required equation:</u>
- 54 / (x + 3) + 42 / (x - 3) = 96/x
- 9x(x - 3) + 7x(x + 3) = 16(x + 3)(x - 3)
- 9x² - 27x + 7x² + 21x = 16x² - 144
- 6x = 144
- x = 144/6
- x = 24 km/h