The first thing to is factor the denominator of the rational function:

to do this we'll need to find two number whose product is -3 and its sum is -2; those numbers are 1 and -3, so:

Now we can rewrite our rational function as follows:

Notice that we have a common factor (x-3) in both numerator and denominator; therefore we can cancel them:

Taking all the above into consideration we realize that x=3 is a removable discontinuity; the correct answer is the first one: there is a hole in x=3 and asymptote at x=-1.
Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
Answer:
cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster
Step-by-step explanation:
(85 x 85) - (77 - 77) = 1296
square root of 1296 is 36
77 + 36 = 113
113 - 85 = 28
this means that cherry st. is 28 yds faster
using the Pythagorean Theorum