Based on the sample response given, the statements included in the explanation on the horizontal line test are:
- a reference to the horizontal-line test.
- a statement that the function is one-to-one.
- inverse is a function.
<h3>What is the horizontal-line test?</h3>
The horizontal line test is used to not only find out if a graph has an inverse function, but also if that inverse is also a function itself.
To pass the horizontal line test, the function has to be one-to-one which means that a horizontal line can intersect the graphed function at one point in all places. If this happens, then there is an inverse and the inverse itself is a function.
Find out more on the horizontal line test at brainly.com/question/11471811
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Answer:
position 1 5 8 12 19 25
term -8 8 20 36 64 88
Step-by-step explanation:
(n - 1) is position ( n ∈ N)
d is the distance between the numbers in the sequence
a1 is the first number in the sequence
we have the fuction: a(n) = a1 + (n - 1)d
see in the table, with position = 1, term = -8 => a1 + d = -8
position = 25, term = 88 => a1 + 25d = 88
=> we have: a1 + d = -8
a1 + 25d = 88
=> a1 = -12
d = 4
=> a(n) = -12 + 4(n - 1)
=> term = 8, position = (8 + 12)/4 = 5
position = 8, term = -12 + 4.8 = 20
term = 36, position = (36 + 12)/4 = 12
position = 19, term = -12 + 4.19 = 64
The correct answer is Choice B: 720.
To solve this, you have to use the Fundamental Counting Principal. You find the total number of options for each of the digits, then multiply them together.
For the first one, there are 10 options, then 9 options and finally 8 options.
10 x 9 x 8 = 720
The probability of one arrives within the next 10 minutes
when he already been waiting for one jour for a taxi is,
P (X > 70 | X > 60) = P (X > 10) = 1 – P (X ≤ 10)
= 1 – {1 – e ^ -((1 / 10) 10)} = e ^ -1
= 0.3679
The probability of one arrives within the next 10 minutes
when he already been waiting for one hour for a taxi is 0.3679
Answer:
B. 
Step-by-step explanation:
The given quadratic trinomial is;

Comparing this to
, we have a=5,b=17,c=6.

Two factors of 30 that add up to 17 is 15 and 2.
We split the middle term to obtain;

We factor by grouping;

Factor further

The correct answer is B.