It depends on how b approaches 0
If b is positive and gets closer to zero, then we say b is approaching 0 from the right, or from the positive side. Let's say a = 1. The equation a/b turns into 1/b. Looking at a table of values, 1/b will steadily increase without bound as positive b values get closer to 0.
On the other side, if b is negative and gets closer to zero, then 1/b will be negative and those negative values will decrease without bound. So 1/b approaches negative infinity if we approach 0 on the left (or negative) side.
The graph of y = 1/x shows this. See the diagram below. Note the vertical asymptote at x = 0. The portion to the right of it has the curve go upward to positive infinity as x approaches 0. The curve to the left goes down to negative infinity as x approaches 0.
Answer:
the distance is 9
Step-by-step explanation:
1.Addition property add both equations together
2.Division property of equity
3.Solution
4.Distribution of 3*-1
5.Addition property of equality
6.Division property of equity
7.Solution
Answer:
y=10x+15
Step-by-step explanation:
The slope intercept form is represent by this equation
Where m is the slope, and b is the y intercept( when x is zero).
Looking at the graph, we already found the y intercept.
When x=0, y is at 15 so our y intercept is 15 so our equation updated look like
Now let find the slope
Slope is
Let use two arbitrary points to find the slope
Let use (3,45) and 6,75).
So our slope is 10 so our equation look like
Since the denominators are unequal, we find the L.C.M (lowest common multiple) for both denominators.
The L. C. M for 7 and 8 is 56.
Now,
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Now that the denominators are equal, we can add them.
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Therefore, the numerator is and the denominator is .