Answer:
hole at x=-3
Step-by-step explanation:
The hole is the discontinuity that exists after the fraction reduces. (Still doesn't exist for original of course)
The discontinuities for this expression is when the bottom is 0. x^2-9=0 when x=3 or x=-3 since squaring either and then subtracting 9 would lead to 0.
So anyways we have (x+3)/(x^2-9)
= (x+3)/((x-3)(x+3))
Now this equals 1/(x-3) with a hole at x=-3 since the x+3 factor was "cancelled" from the denominator.
Answer:
2 students from each of the 15 classes
Step-by-step explanation:
Just took the test on Edge
Look at it this way:
-- Since the two groups have the ratio of 4 to 7, then the first group has 4 parts
and the other group has 7 parts.
-- If the first group has 4 parts and the other group has 7 parts, then they have
11 parts all together.
-- Those 11 parts are all parts of 33. There must be ( 33 / 11 ) = 3 items in each part.
Now you can go back to the groups . . .
-- The first group has 4 parts.
With 3 items in each part, that's (4 x 3) = 12 items.
-- The other group has 7 parts.
With 3 items in each part, that's (7 x 3) = 21 items.
The correct answer would be the last one.
3.8765+4.824+1.733 > 3.88 +4.82+1.73
This link is a good visual prompt of where the tenths, hundredths, thousandths, etc are.
Explanation:
Okay we are rounding to the hundredths. When we round a decimal up, we are basically being lazy so we just simplify the number. When we look at a number we are going to round we first need to spot where we are rounding up. In this case it is the hundredths. Ex. 4.234/ Now the number that we are rounding "needs help from his buddy on his right" If the number on the right is 5 or greater, he is strong enough to help out. But if the number is 4 or lower he is too weak to help out. So lets do an example: Ex. 4.234. We see that 3 is the hundredths and the 3 turns to his buddy on the right and asks if can help. But since his buddy is 4 he can't help out.
Working out the problem:
The first option we are given the answers are in tenths so we can rule that out
The second option we are given the answers are rounded into hundredths so lets round the numbers/ 3.825= 3.83, but the answers given (3.82) do not match up.
The third option: The answers are in hundredths so lets round the numbers.. 3.824= 3.82, but the answers given(3.81) do not match up
*Now by process of elimination you would now know that the 4th is the correct answer but lets work it out anyways, plus doing that is a bad habit to get into*
The fourth option: the answers given are in hundredths so let round the numbers.. 3.8765 (tricky since the answer all the way to the right is above 5 it rounds the helping buddy up) like so: 3.877... 3.877= 3.88. This turns out to be the right answer as you round up all of the hundredths places.
I hope this helps you out and hope you can understand this! Have a GREAT DAY!
