Answer:
The value of (f/g) (8) = -169
Step-by-step explanation:
<u>Step 1: explaining the question</u>
The quotient (f/g) is not defined at values of x ⇒ both the functions must be defined at a point for the combination to be defined.
⇒(f/g)(x) =(f(x)) / (g(x))
If f(x)= 3-2 and g(x)=1/x+5
⇒then according to the preceding formula: (f/g)(x) =(f(x)) / (g(x))
⇒(f/g)(8) = f(8) / g(8)
to solve this we have to find the value of both f(8) and g(8)
<u>Step 2: find value of f(8) and g(8)</u>
⇒ we know that f(x) = 3-2x and we know dat f(x) = f(8)
⇒ f(8) = 3-2(8)
f(8) = 3-16 = -13
⇒we know that g(x) = 1/x+5 and g(x) = g(8)
⇒ g(8) = 1/8+5
g(8) =1/13
These 2 equations we will insert in the following : ⇒(f/g)(8) = f(8) / g(8)
⇒ f/g (8) = -13 / (1/13) = -13 * 13/1 = -169
The value of (f/g) (8) = -169
Answer:
The bottle will last for 20 days.
Step-by-step explanation:
Given that:
Number of drops in a dose = 4 drops
Dose is taken three times a day, therefore,
Number of drops taken in a day = 4*3 = 12 drops
One milliliter = 20 drops
12 mL = 20*12 = 240 drops
Number of days the bottle will last can be find out by calculating total number of drops by the number of drops consumed in a day.
Number of days bottle will last = 
Hence,
The bottle will last for 20 days.
Answer:
37
Step-by-step explanation:
Answer:
Step-by-step explanation:
Sally paints at a rate of 1/7th room / hour
Steve paints at a rate of 1/6th room / hour
If they both painted together, they would paint 1/7 + 1/6 = 13/42 room/hour
so to paint the whole room, it would take 1/(13/42) = 42/13 =
<u>
3.23 hours (3 significant figures)</u>
