A train ticket in a certain city is $2.00. People who use the train also have the option of purchasing a frequent rider pass for
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For a function f(x), its average rate of change on an interval [a, b] is given by what's called the "difference quotient",
and is basically the ratio of the difference in values of f(x) at the endpoints to the difference in the endpoints themselves.
I assume the 6 intervals below each table correspond to each table immediately above them.
From the first table, we get the following average rates of change (after arranging the intervals from left to right):
• [-3, -2] : (f(-2) - f(-3)) / (-2 - (-3)) = (7 - 12)/1 = -5
• [-2, -1] : (f(-1) - f(-2)) / (-1 - (-2)) = (4 - 7)/1 = -3
• [-1, 0] : (f(0) - f(-1)) / (0 - (-1)) = (3 - 4)/1 = -1
• [0, 1] : (f(1) - f(0)) / (1 - 0) = (4 - 3)/1 = 1
• [1, 2] : (f(2) - f(1)) / (2 - 1) = (7 - 4)/1 = 3
• [2, 3] : (f(3) - f(2)) / (3 - 2) = (12 - 7)/1 = 5
Just do the same for the other two tables. Note that each listed interval has length 1, so practically, each average rate of change over [a, b] is exactly f(b) - f(a).
For parts (c) and (d):
• (c) You'll notice that each of the average rates of change are odd numbers …
• (d) … but they're not necessarily all the same size, and they follow slightly different patterns.
Answer:
<h2>y = 7x-47</h2>Step-by-step explanation:
The one way to determine factors of x³ + 11x² – 3x – 33 will be .
It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The steps involved in the factorization are;
1. For each pair of parentheses, we create a common factor.
2. We use x2 as a common factor for the first parenthesis.
3. We use common factor 3 for the second parenthesis.
We will find the final solution as .
Hence the one way to determine factors of x³ + 11x² – 3x – 33 will be .
To learn more about the factorization refer to the link;