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photoshop1234 [79]
3 years ago
13

Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical va

lues of the coefficients. (a) x4 − 2x3 + x2 + 3x − 2 x2 − 2x + 1
Mathematics
1 answer:
butalik [34]3 years ago
5 0

\dfrac{x^4-2x^3+x^2+3x-2}{x^2-2x+1}

The degree of the numerator exceeds the degree of the denominator, so first you have to divide:

x^2+\dfrac{3x-2}{x^2-2x+1}

Now, x^2-2x+1=(x-1)^2, so the remainder term can be expanded to get

\boxed{x^2+\dfrac a{x-1}+\dfrac b{(x-1)^2}}

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In a genetic experiment involving flower color in phlox, a ratio of 3 blue-flowered plants to 1 whiteflowered plant was expected
aliya0001 [1]

Answer: The observed ratio is different from the expected ratio.

Step-by-step explanation:

Since we have given that

Expected ratio :

Ratio of blue flowered plants to white flowered plant = 3:1

Observed results:

Number of blue flowered plants = 35

Number of white flowered plants = 14

So, Ratio of blue flowered plants : white flowered plants

35:14\\\\=5:2

So, 5:2 ≠ 3:1

Hence, the observed ratio is different from the expected ratio.

3 0
3 years ago
A graph is constructed of the length of the side of a square compared to the area of a square. what would the function rule be t
sergeinik [125]
Based on the given description above, it is said that the graph is made of the length of the side of a square. By definition, a square has equal sides, and the area of getting the square is A=s^2. Therefore, the function rule for this to find the area for any given side length would be y = x^2. Given the y is the area of the graph and x is the length of the side. Hope this answer helps.
4 0
2 years ago
Which fraction is equal to one third
KIM [24]

Answer:

2/6, 3/9, 4/12 ...

Step-by-step explanation:

We can find equivalent fractions to 1/3 by multiplying the numerator, or top number, and the denominator, or bottom number, by the same factor.

7 0
3 years ago
Suppose you obtain a chi-square statistic of 67.81. Are your results statistically significant if the critical value obtained fr
Svetach [21]

Answer:

Result is statistically significant.

Step-by-step explanation:

Given that :

Chisquare statistic, χ² = 67.81

Critical value for the distribution, χ²critical = 3.84

α = 0.05

The Decison region :

If χ² statistic > Critical value ; Reject H0 ; this. Eans that result is statistically significant.

Therefore, since, 67.81 > 3.84 ; This means that the result is statistically significant at 0.05

8 0
3 years ago
Which data set is represented by the modified box plot? 45,50,55,60,65,70,75,80,85,90,95,100,105,110,115
stellarik [79]
120,125,130,135,140,145,150,155,160,165,170,175,180,185
7 0
2 years ago
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