Answer:
A, C, D
Step-by-step explanation:
One way to answer this question is to use synthetic division to find the remainder from division of the polynomial by (x-3). If the polynomial is written in Horner form, evaluating the polynomial for x=3 is substantially similar.
A(x) = ((x -2)x -4)x +3
A(3) = ((3 -2)3 -4)3 +3 = -3 +3 = 0 . . . . . has a factor of (x -3)
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B(x) = ((x +3)x -2)x -6
B(3) = ((3 +3)3 -2)3 -6 = (16)3 -6 = 42 . . . (x -3) is not a factor
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C(x) = (x -2)x^3 -27
C(3) = (3 -2)3^3 -27 = 0 . . . . . . . . . . . . . has a factor of (x -3)
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D(x) = (x^3 -20)x -21
D(3) = (3^3 -20)3 -21 = (7)3 -21 = 0 . . . . has a factor of (x -3)
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The polynomials of choice are A(x), C(x), and D(x).
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:
Add from top to bottom:
Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:
(x, y) = (3, 5)
Answer:
Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
-
is the point estimate for the population proportion and is calculated as follows:
#The margin of error, ME can be calculated for the confidence intervals using the formula:
#The number of individuals in the sample is the product of the point estimate and population size:
Hence, there are 645 individuals in the sample.
1/12 does not belong with the other three fractions.
2/12, 3/12, and 4/12 can all be simplified to 1/6, 1/4/, and 1/3. However, 1/12 can't be simplified.
Answer:
324
Step-by-step explanation:
4×3=12
12×3=36
36×3=108
108×3=324
it's being multiplied by 3's
