Answer:
$30.90
Step-by-step explanation: 30 + .09 = 30.09
The last one pretty sure.
Answer:
2 feet by 1.25 feet
Step-by-step explanation:
The arcade floor has dimensions 120 ft by 75 ft.
The scale of the drawing on grid paper is 1 in : 5 feet. This is a reduced scale. This means that the size of the arcade floor was reduced in the drawing.
Let us simply the ratio 1 in : 5 feet.
1 foot = 12 inches
=> 5 feet = 5 * 12 = 60 inches
The ratio can be rewritten as 1 in : 60 in = 1 : 60.
Hence, multiply the individual dimensions of the arcade floor by 
.
120 feet will be:
120 * = 2 feet
75 feet will be:
75 * = 1.25 feet
Therefore, the dimensions of the scale drawing are 2 feet by 1.25 feet.
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?”
