Selection C is appropriate for a fence that extends x feet away from the house and utilizes the full 30 ft width of the house.
Answer:

Step-by-step explanation:
So we have the equation:

First, let's determine the domain restrictions. Recall that the radicand cannot be negative. In other words, it must be greater than or positive than 0. Thus:

Subtract 6 from both sides:

What this means is that our solutions must be greater than or equal to -6. If not, we ignore them.
So, let's subtract 5 from both sides from the original equation:

Square both sides:

Subtract 6 from both sides:

138 is greater than -6, so 138 is a solution and is the only solution.
And we're done!
Answer:
d/r
Step-by-step explanation:
d = rt
t = d/r
Answer:
(x+5)(x-3) / (x+5)(x+1)
Step-by-step explanation:
A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.
Answer:
1000.
Step-by-step explanation:
We need 4 weights where 3 of them add up to
900, 1400, 1600 or 1800g.
Not sure of the method for doing this!
Lets assume that the answer is 1000 g.
Then the 3 that make 1800 could be
1000 500 and 300
- then to make 900 we need a 100g tomato giving:
1000 500 300 and 100 grams
So the 1400 will be the 1000, 300 and 100 tomato
and the 1600 will be 1000, 500 and 100.
That seems to fit !!