A vertical asymptote is what you get when you try to divide by 0. To find where you get these, you need to look at the denominator and what values of x will make the denominator equal to 0.
In your denominator, you have (x+7)(x-5)(x-3).
What values of x makes (x+7)(x-5)(x-3)=0?
If x = -7, if x = 5, or if x = 3, then that entire expression will equal zero. (Same idea as when you solve equations by factoring.
Now the only place this can get trickier is if one of those factors — one of (x+7), (x-5), or (x-3) — also appears in the numerator. If that happens, then it’s more involved whether you have an asymptote or not. But that doesn’t happen in this example.
So the short version: Asymptotes happen when you try to divide by zero. Dividing by zero is not a good thing. So you just ask yourself, “What will make the denominator 0?”
Answer:
enlargement
Step-by-step explanation:
Actual picture is smaller than the scaled one
Scaling is used to enlarge the actual picture
So the answer is enlargement
Miles per hour
(15 and 3/4) miles per 3 hours
remember that
(a+b)/c=(a/c)+(b/c)
and
a and c/d=a+c/d
so
(15 and 3/4)/3=(15/3)+(3/4)/3
remember that dividing by a number is like multiplying by a fraction
15/3=5
(3/4)/3=(3/4) times (1/3)=3/12=1/4
(15/3)+(3/4)/3=5+1/4=5 and 1/4
answer is 5 and 1/4 miles per hour
Answer:
1500000 cubic centimeters
Answer:
5) 64
3) a loaf of bread
6) 2
4) see saw
Step-by-step explanation: