Answer:
○ A. No, x = -6 is not a zero of the polynomial.
The quotient is x - 29, and the remainder is 234.
Step-by-step explanation:
[x - 3][x - 20] >> Factored Form
Obviously, this is not a zero. Now, to get the remainder, we have to plug in the vertical line of <em>x = -6</em> into its conjugate, meaning an expression with opposite signs, which is <em>x + 6</em>. This is the expression we divide the dividend by, so you will have this:
\frac{{x}^{2} - 23x - 60}{x + 6}
Since the divisor is in the form of <em>x - c</em>, using Synthetic Division, we get this:
x - 29 + \frac{234}{x + 6}
You see? You have <em>x - 29</em> in the quotient, and you have 234 as the numerator remainder.
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Answer:
f(6) =6^2 - 2(6)
f(6) = 36 - 12
f(6) = 24
f(-3) = (-3)^2 - 2(-3)
f(-3) = 9+6
f(-3) = 15
f(-4) = (-4)^2 - 2(-4)
f(-4) = 16 + 8
f(-4) = 24
Step-by-step explanation:
Answer:
En 2001 el pueblo poseía 45.826 habitantes.
Step-by-step explanation:
Un pueblo tenía 13.578 habitantes en 1970. En 1988 la población se incrementó 1,5 veces con respecto a 1970. Para calcular entonces la población en 1988 debes realizar el siguiente cálculo:
13.578*1,5= 20.367
Por lo que en 1988 el pueblo poseía 20.367 habitantes.
En 2001 se incrementó la población 2,25 veces en relación a 1988. Para calcular entonces la población en 2001 debes realizar el siguiente cálculo:
20.367* 2,25= 45.825,75≅ 45.826
Por lo que <u><em>en 2001 el pueblo poseía 45.826 habitantes.</em></u>
The number of pieces per stack after 3 cuts represented by a power expression can be written as
- The number of equal pieces per cut = 3
- The number of cuts made = 3
<u>Using a power </u><u>expression</u><u> </u><u>:</u>
- The number of of equal pieces per cut is raised to a power which represents the number of cuts made
- Thus we have
- After 1 cut ;

- After 2 cuts ;
- After 3 cuts ;
Therefore, the Number of pieces present in stack after 3 cuts is 
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"0.32 with a line above it" could refer to two possible numbers, either

or

.
In either case, 0.32 will be the smaller of the two numbers simply because it terminates with two digits after the decimal point, while the others keep going, basically adding a small positive number to 0.32.