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 magnitude of WX is ⇒ c
Step-by-step explanation:
The magnitude of XY (its length) where,
is IXYI =
∵ W = (-2 , 8 , -3)
∵ X = (1 , 4 , -1)
- To find the magnitude of WX use the formula above
∴ = -2 and = 1
∴ = 8 and = 4
∴ = -3 and = -1
- Substitute these values in the rule above
∵ IWXI =
∴ IWXI =
The magnitude of WX is
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Answer:
5
Step-by-step explanation:
Whole numbers are positive numbers without decimals. First, list all the whole number factors of 36:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
Next, see which one of those pairs has the highest sum:
1+36=37
2+18=20
3+12=15
4+9=13
6+6=12
The greatest possible sum the numbers can have is 37.
Hope this helps!!
Answer:
2.4x-4.4
Step-by-step explanation:
0.3(4x-8)-0.5(-2.4x+4)
1.2x-2.4+1.2x-2
2.4x-4.4