Step-by-step explanation:
X-1/X=3
X-1=3×X
X-1=3X
-3X+X=1
-2X=1
X=1/2 Answer
Answer:
B. (-1, 2)
Step-by-step explanation:
A piecewise-defined function may be discontinuous at the boundaries of its pieces, and it may be discontinuous if it is undefined anywhere within one of its pieces. So, you need to check all of these possibilities.
The boundary locations are x = -1, 0, and 4.
At x=-1, the function has the value e^-1 on one side of the boundary and -1 on the other side, so is discontinuous at x=-1. This rules out choice A.
At x=0, the function has the value 0 on both sides of the boundary, so it is continuous there.
At x=4, the function has the value 10 on one side of the boundary and the value cos(12) on the other side, so is discontinuous at x=4.
In the piece between 0 and 4, the function is defined as 5x/(x-2), so will be undefined where the denominator is zero, at x=2.
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In summary, the function is discontinuous at x=-1, x=2, x=4. So, any interval containing these x-values can be ruled out. The only remaining possibility is ...
B. (-1, 2)
C = 5p + 200
her folks are willing to spend 295....so c = 295....so sub in 295 for c and solve for p, the number of people that can attend
295 = 5p + 200
295 - 200 = 5p
95 = 5p
95/5 = p
19 = p <=== so 19 people can attend the party
Answer:
A) If it is the weekend, then it is Saturday.
B) False
C) If it is the first day of the weekend, then it is Saturday. If it is Saturday, then it is the first day of the weekend.
~theLocoCoco
The coordinates at the midpoint of any line are the averages of the coordinates at the end-points. So 7 has to be the average of 10 and k .
(1/2) (10 + k) = 7
5 + k/2 = 7
k/2 = 2
<em>k = 4</em>
