Answer: L greater than 31
Step-by-step explanation:
Trevor is swimming laps to raise at over 100 dollars for the local food bank. He earns $1.85 per lap and has already swum 23 laps.
This means that the total amount that he has raised is number of laps that he has swum × the amount he earns per lap. Therefore,
Amount that he has already raised
= 1.85 × 23 = $42.55
100 - 42.55 = 57.45
He still needs to raise an amount greater than $57.45
To raise this amount, he needs to swim more laps. Number of laps that he needs to swim will be
57.45/1.85 = 31.05
Approximately 31 laps
Let the number of laps that he needs to swim be L
The inequality to show how many more laps Trevor needs to swim in order to raise more than $100 will be
L greater than 31
The number would be 18.
Half of 18 = 9
Two thirds of 18 = 12
9 + 12 = 21
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:
The length of the total 8 pieces in 0.8 meters = 6.4 meters
How many pieces there are in the remaining 0.4 meter = 6.5
Step-by-step explanation:
0.8 x 8 = 6.4
9 meters - 6.4 meters = the remaining 2.6 meters
2.6 x 0.4 = 6 1/2 pieces of ribbon in 0.4 meters.
Answer:
Step-by-step explanation:
The midpoint of two points is the average of the x coordinates and the average of the y coordinates.
Given
A(3, -1)
and we let the other end point B be B(x,y)
and midpoint is (-7,10)
So, the average of 3 and x is -7, and
the average of -1 and y is 10
We can solve for x first:
and now solving for y:
So, the other point B is:
