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?”
The total cost of the least expensive fence would be $800.
To minimize perimeter and maximize area we take factors that are as close to equal as possible. In this case, the closest whole number factors are 200 and 100. Since the north and south faces cost less, we will make those 100 ft and make the more expensive east and west faces 200 ft.
100 ft × $2/ft = $200 per side × 2 sides = $400 for the north and south facing sides.
200 ft × $1/ft = $200 per side × 2 sides = $400 for the east and west facing sides
$400 + $400 = $800
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To solve this all it takes is two simple steps
Simplify
1/2x =22
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Multiply both sides by 2
2 ·
= 2 · 22
x = 44
Answer:
3 miles per hour
Step-by-step explanation:
We need to subtract the two numbers to find the difference in speeds
4/5 - 3/4
We need to get a common denominator of 20
4/5 *4/4 - 3/4 *5/5
16/20 - 15/20
1/20
The car going 4/5 miles per minute is going 1/20 miles per minute faster than the car going 3/4 miles per minute.
The question asks for miles per hour, not miles per minute. We know that there are 60 minutes per hour.
1/20 miles per minute * 60 minutes / hour
60/20 miles/hour
3 miles/ hour
The car going 4/5 miles per minute is going 3 miles per hour faster than the car going 3/4 miles per minute.
Perimeter: x + (4x + 9) + (x + 11)
The value x is for the bottom of the triangle.
Simplified, it would be 6x + 20
