H(h(x)) means to use the entire function h(x) as the x value in the function h(x)..
h(h(x)) = (x²+1)² + 1
= (x²+1)(x²+1) + 1
= (x^4 + x² + x² + 1) + 1
= x^4 + 2x² + 2
g(h(x)) means to use the entire function h(x) as the x value in the function g(x)..
g(h(x)) = 3(x² + 1)
= 3x² + 3
g(h(x))
9 miles, you dont even need much math, just common sense. divide 12 by 4 and you get three. multiply 3 by 3 to get 9.
Answer:
Step-by-step explanation:
Juan has 20 books to sell. He sells the books for $15 each.
The range of the function is the set of all possible values of the dependent variable. The dependent variable here is the amount of money that is made and this amount depends on
the number of books, x sold
The amount of money Juan makes from selling books is represented by a fucntion. f(x)=15x
The maximum amount that can be made from 20 books at a rate of $15 each would be 20×15 = $300
The minimum amount that fan be made is $0 and this is when no book is sold. Let y = f(x). So the range is
0 lesser than or equal to y lesser than or equal to 300
Answer:
a) There is a 66.7% chance that you were given box 1
b) There is a 80% chance that you were given box 1
Step-by-step explanation:
To find this, we need to note that there is a 1/10 chance of getting a defective bulb with box 1 and a 1/20 chance in box 2.
a) To find the answer to this, find the probability of getting a defective bulb for each box. Since there is only one bulb pulled in this example, we just use the base numbers given.
Box 1 = 1/10
Box 2 = 1/2
From this we can see that Box 1 is twice as likely that you get a defective bulb. As a result, the percentage chance would be 2/3 or 66.7%
b) For this answer, we need to square each of the probabilities in order to get the probability of getting a defective one twice.
Box 1 = 1/10^2 = 1/100
Box 2 = 1/20^2 = 1/400
As a result, Box 1 is four times more likely. This means that it would be a 4/5 chance and have a probability of 80%
P=2*(5ft +7 ft)
P=2*12 ft
P=24 ft - is the answer
