If the function is:
f (x ) = 5 ( x +2 ) / ( 3 ( x-1 ) ( x - 7) then for: f ( x ) = 0
5 ( x + 2 ) = 0
x + 2 = 0
x = -2
Answer: E ) -2 ( only )
Answer:
W
Step-by-step explanation:
the rule of a 90⁰ counterclockwise rotation is (x,y) -> (-y,x)
For example, if you rotated a point at (3,2) by 90⁰ counterclockwise. You would change it to (-2,3).
Answer:
$12
Step-by-step explanation:
If you're taking off 25% of the regular cost, "taking off" means subtracting. So if we subtract 25% OF 16, the word "of" means to multiply here. So our expression then becomes:
16 - .25(16)
16 - 4 = 12
So the CD will sell for $12.
Answer:
- <u>They can catch up with the bus at 10:40 am.</u>
Explanation:
1. Set the time when Liana and her mother can leave (8:40 am) as t₀ = 0; thus the time of driving for them will be t.
2. The average speed at whic Liana's mother drive: 60 miles/hour
3. Thus, the distance they will have driven will be:
- distance = average speed × time = 60t
4. The time the bus left was 8:00 am, which is 40 minutes before Liana and her mom can leave.
Thus, the time wil have driven when Liana and her mom have driven t hours minutes will be: t + 40 min / 60 min/ hour = t + 2/3
5. The average speed of teh bus is 45 miles / hour
6. The distance the bus will have driven will be:
- distance = average speed × time = 45(t + 2/3)
7. When Liana and her mother catch up with the bus, the distances driven by both of them are equal:
Thus, Liana and her mom can catch up with the bus after 2 hours, since 8:40 am; this is, 10:40 am.
