Answer:
9/13
Step-by-step explanation:
Step-by-step explanation: rise = y₂ - y₁ = -1 - (-10) = -1 + 10 = 9 run = x₂ - x₁ = 9 - (-4) = 9 + 4 = 13
Solution: A scatter plot is made to model the number of calories in different portions of fish sticks. The data used for the scatter plot are shown in the table below:
Number of portions
5 3 8 6 1 4
Number of calories
250 150 400 300 50 200
What does the slope of the model represent?
Answer: The number of calories in each portion of fish sticks
The first step is to determine the zeros of p(x).
From the Remainder Theorem,
p(a) = 0 => (x-a) is a factor of p(x), and x=a is a zero of p(x).
Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).
Perform long division.
x² - 16
-------------------------------------
x-3 | x³ - 3x² - 16x + 48
x³ - 3x²
-----------------------------------
- 16x + 48
- 16x + 48
Note that x² - 6 = (x+4)(x-4).
Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)
To determine when p(x) is negative, we shall test between the zeros of p(x)
x p(x) Sign
---- --------- ---------
-4 0
0 48 +
3 0
3.5 -1.875 -
4 0
p(x) is negative in the interval x = (3, 4).
Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
Answer:
2:2
Step-by-step explanation:
7/3 and 9/2
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