<span>a) f(n) is the number of students in your calculus class whose birthday is on the nth day of the year.
f(n) is not invertible because several different days, n, may have the same number of students, f(n). Then for one specific f(n) you cannot determine a unique n.
b) f(x) is the volume in litters of x kilograms of water at 4 degrees celsius.?
f(x) is invertible because each x gives a different f(x), then you can determine unambiguously which f(x) corresponds to each x.
</span>
Answer:
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
b) The solution of the system is:
m = 2.5
p = 2.5
Step-by-step explanat:
It is desired to obtain 5 pounds of a mixture containing 40% peanuts and 60% almonds.
It has a mixture of 20% peanuts and 80% almonds.
p: number of pounds of peanuts
m = amount of mixture
The equation that represents the amount of peanut and mixture that is needed is:
p + m = 5 pounds
m = 5-p (i)
The amount of peanut in total that the mixture should have is:
p + 0.2m = 0.6 (5)
p + 0.2m = 3 (ii)
a) The system that models the situation is:
p + 0.2m = 3
p + m = 5
Now we substitute (i) in (ii) and clear p.
p + 0.2 (5-p) = 3
p-0.2p = 2
p = 2.5 pounds
Now we find m
m = 5 - 2.5
m = 2.5 pounds
b) The solution of the system is:
m = 2.5
p = 2.5
AB = CB, AD = CD, DB = BD
Answer:
20x + 13
Step-by-step explanation:
5(4x + 3) - 2
5× 4x + 5×3 - 2
20x + 15 - 2
20x + 13
If 10 oranges cost 4.70, then the price of one orange must be 4.70:10
4.70:10=0.47
FINAL ANSWER—0.47
