Answer:
A. Amount(hours worked)
Step-by-step explanation:
Function notation is a way of converting a written description of a function to a concise form that is easy to read.
It is another way of representing the y-value in a function, y = ƒ(something)
Let's convert the word expression to function notation:
- "The amount charged for labour depends on the time the repair technician works."
- "The amount depends on the hours worked."
- "The amount is a function of the hours worked."
- Amount = amount(hours worked)
Answer is C.
<span>A carpenter charges a flat fee of $150 plus $45 per hour.
Total = 150 + 45h
Hope it helps</span>
Answer:
The average rate of change is 8.
Step-by-step explanation:
The formula to calculate the average rate of change of a function F(x) is:
![\frac{F(b)-F(a)}{b-a}](https://tex.z-dn.net/?f=%5Cfrac%7BF%28b%29-F%28a%29%7D%7Bb-a%7D)
In this case, F(x) = ![0.5x^{2} +5x+9](https://tex.z-dn.net/?f=0.5x%5E%7B2%7D%20%2B5x%2B9)
a=2 and b=4
You have to evaluate x=2 (which is a in the formula) and x=4 (which is b in the formula) in the function.
In order to obtain F(b) and F(a) you have to replace x=4 and x=2 in the given function:
F(b) = ![(0.5)4^{2} + 5(4) +9= 37](https://tex.z-dn.net/?f=%280.5%294%5E%7B2%7D%20%2B%205%284%29%20%2B9%3D%2037)
F(a) = ![(0.5)2^{2} + 5(2)+9=21](https://tex.z-dn.net/?f=%280.5%292%5E%7B2%7D%20%2B%205%282%29%2B9%3D21)
![\frac{F(b)-F(a)}{b-a} = \frac{37-21}{4-2}=\frac{16}{2} = 8](https://tex.z-dn.net/?f=%5Cfrac%7BF%28b%29-F%28a%29%7D%7Bb-a%7D%20%3D%20%5Cfrac%7B37-21%7D%7B4-2%7D%3D%5Cfrac%7B16%7D%7B2%7D%20%3D%208)
The answer is 8.
Answer:
37.5
Step-by-step explanation:
16/46 = 20/(20+x)
or, 16(20+x) = 46×20
or, 320 + 16x = 920
or, 16x = 600
or, x = 600/16
x = 37.5
5. After 6 hours, the concentration is halved. After 12 hours, it will be quartered. If the original concentration is 200 nmol, a quarter is 50 nmol.
14. The population doubles after 3 hours, and a day is 24 hours. That means that the original population should be multiplied by
, or
. 3 million times
is 3 * 256 million, or 768 million.
15. The concentration is halved every 8 hours and the original concentration is 100 nmol. So now, how many times do you halve 100 to get to 12.5?
100/2 = 50, 50/2 = 25, 25/2 = 12.5. That's three times. 3 * 8 is 24 hours, or 1 day.