<span>f(x) = 4x + 3
g(x) = -2x + 5
(f o g) (5) means the function of g when g is a function of 5
(the function of the function concept)
so we need to get g(5) firstly
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<span>g(x) = -2x + 5
g(5)= -2(5) + 5 = -5
After that, f(g(5)) = f(-5) = 4(-5) + 3 = -20 + 3 = -17
I hope that helps
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Answer:
27
Step-by-step explanation:
First find 2/3 of the original price
48*2/3 =32
Now subtract the coupon
32 -5
27
You will pay 27 dollars before tax
Answer:
Step-by-step explanation:
Let's start by making up as many teams as we can with the 32 student. Given that each team is different, we can make 10 teams of 3 each. (we still have 23 more teams to make).
The last two people make a team of only 2. No matter which student from the 30 other students is picked, the team of two and the one the student is coming from will have one student in common. Though there are more borrowings that take place (many more), the results remain as stated. At least 2 teams will have 1 person in common.
The method is called the pigeon hole method.
Answer: 24 grams of element would remain.
Step-by-step explanation:
Exponential function for decay:
....(i) , where A = initial value , b = decay factor, x = time , n= time per period
As per given,
A = 569 grams , 
n= 5 years, t = 23 years
Put all values in (i) , we get

Hence, after 23 years , 24 grams of element would remain.
1.5×12=18
300÷18=16.6667
you need to work close to 17 hours to earn that much when rounded to the nearest number.