Answer:
d
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 3 = 0 ⇒ x = - 3 ← equation of vertical asymptote
Answer:
c=7
Step-by-step explanation:
The problem says that 8 less than 4 times c is less than twenty, so we can first show 8 less than 20.
4c -( I did this because it said 4 times the number c)
Then, we show 8 less than that.
4c-8
It says it is twenty, and that means it equals twenty.
4c-8=20
Now we solve!
4c-8=20
+8 +8
*we add 8 to both sides*
4c=28
*we divide both sides by 4 since we want to isolate c*
c=28/4
c=7
I hope this helped!
Answer:
Number of Favorable Outcomes over Total Number
Step-by-step explanation:
Answer:
36 boards
Step-by-step explanation:
The boards are as long as the room, so I only had to worry about the width. If the boards were 1/2 ft wide, I would need 2 boards for every foot of width. For 16 ft, I would need 32 boards.
Instead of dividing, I wrote the equivalent multiplication by multiplying by the reciprocal of 11/24 (the reciprocal of 11/24 is 24/11)
I simplified by dividing both 2 and 24 by 2, and both 11 and 33 by 11.
Therefore he needs 36 boards