Answer:
D. 3x - 3
Step-by-step explanation:
To find (f-g)(x) you have to subtract each fuction
(f-g)(x) = f(x) - g(x)
(f-g)(x) = 5x -2 - (2x+1)
(f-g)(x) = 5x -2 -2x -1
(f-g)(x) = 3x -3
Answer:
nonlinear because the second row isn't going up by the same number
Answer:
![(2,8]](https://tex.z-dn.net/?f=%282%2C8%5D)
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
and 
Combine the first two inequalities:
and 
For the inequality to be true, we must have:

In interval notation, the inequality is:
![(2,8]](https://tex.z-dn.net/?f=%282%2C8%5D)
Answer:
9.694 years
Step-by-step explanation:
Let the investment is $P.
So, we are asked to determine the time it will grow to triple with the compound interest rate of 12%.
Let the time is y years.
So, from the formula of compound interest we can write
⇒
⇒
Now, taking log both sides we get,
y log 1.12 = log 3 {Since,
}
⇒ 0.04922y = 0.477712
⇒ y = 9.694 years (Answer)
Answer:
- 4 1/6 min or 4 min 10 sec
Step-by-step explanation:
<u>Filling rate is:</u>
- 15 ÷ 1 1/4 = 15 ÷ 5/4 = 15 × 4/5 = 12 l/min
<u>Total volume is 50 l, time required to fill is:</u>
- 50/12 = 4 2/12 = 4 1/6 min or 4 min 10 sec