Recall that
. When
, we can write
You have
whenever
is a multiple of
. But
, which would make
undefined. So
must be a vertical asymptote.
So assume
for any integer
. Then
and since
for all
, it follows that
, or
.
9514 1404 393
Answer:
y = -5/3x -13/3
Step-by-step explanation:
In any "solve for ..." problem, it is useful to start by identifying where the target is and what has been done to it. Here, y is in one term on the left side of the equation and it has had these things done to it:
We want to undo these in reverse order. We undo addition by adding the opposite. We undo multiplication by multiplying by the reciprocal (equivalently, dividing). <em>Whatever we do to one side of the equation, we must also do to the other side</em>.
So, first we add the opposite of -5x to both sides of the equation.
-5x +5x -3y = 13 +5x
-3y = 13 +5x . . . . . . . . . collect terms
Next, we undo the multiplication by -3. We can do that by multiplying both sides by 1/(-3) = -1/3.
(-1/3)(-3y) = (-1/3)(13 +5x)
y = -5/3x -13/3 . . . . . also we rearranged the terms to standard form
Answer:
he pays $18.19 hope this helps have a nice day please give me brainliest
Step-by-step explanation:
Consecutive means in order. So let's call the first integer x. The next number in line would be x+1 and the largest integer would be x+2. Let's prove that so you're not confused. If x is 3, then x+1 is 4 (next in line), and x+2 is 5 next after that. See? So if we add all those together we set them equal to 267 and solve for x: x + x+1 + x+2 = 267. Combining like terms gives us 3x + 3 = 267 and 3x = 264. Now dividing both sides by 3 we get that x = 88. That's the smallest integer; the largest is found by adding 88 + 2 which is 90. So that means that the numbers are 88, 89, 90, and that adding them up = 267. Let's check that now: 88+89+90=267 so we're good.