Eighteen cause 27 divided by 3 is 9. so 9 x 2 = 18
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:
First option: 
Step-by-step explanation:
The missing graph is attached.
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
We can observe that:
1. Both lines have the same y-intercept:
2. The lines are solid, then the symbol of the inequality must be 
or 
.
3. Since both shaded regions are below the solid lines, the symbol is:
Based on this and looking at the options given, we can conclude that the graph represents the following system of inequalities:
Answer:
Step-by-step explanation:
P(x) = a(x - 2)2(x + 4), a ≠ 0
Use the given point (0,-10) to find a.
-10 = a(0 - 2)2(0 + 5) = a(4)(5) = 20a
a = -10/20 = -1/2
P(x) = (-1/2)(x - 2)2(x + 5)
You can expand this if you wish
This is solved by breaking the equasion down.
2 { 5 [12 + 5 (500 - 100) + 399 ]}
2 { 5 [12 + 5 (400) + 399]}
2 { 5 [12 + 2000 + 399]}
2 { 5 [2411]}
2 {12055}
24110
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