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Kay [80]
3 years ago
14

How do i find the roots of this equation: f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0

Mathematics
1 answer:
Fantom [35]3 years ago
4 0
The equation is <span>f(x) = 2x5 - 9x4 + 12x3 - 12x2 + 10x - 3 = 0
remark:
the sum of coefficients is = 2-9+12-12+10-3=-7+7=0, so a=1 is a zero of f
f can be written as </span>f(x) = (x-1)Q(x), and f(x) / (x-1)= Q(x)
after euclid's division
Q(x) = 2x4 - 7x3 + 5x2 - 7x +3
so for finding the other roots, making Q(x) for product of factors is a must
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Step-by-step explanation:

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5 0
3 years ago
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Indicate whether the following variables are qualitative (QL) or quantitative (QU): a. Favorite color ____ b. Current Occupation
Whitepunk [10]

Answer:

a. Qualitative.

b. Qualitative.

c. Quantitative.

d. Quantitative.

e. Qualitative.

Step-by-step explanation:

a.

Favorite color can be classified into different categories such as blue,orange, white etc, so, favorite color is a qualitative variable.

b.

Current Occupation can be classified into different categories such as teacher, lawyer and doctor etc, so, current occupation is a qualitative variable.

c.

Number of extra credit problems solved can be meaningfully presented as numerical figures so, number of extra credit problems solved  is a quantitative variable.

d.

Number of students in class can be meaningfully presented as numerical figures so, number of of students in our class is a quantitative variable.

e.

Exam Grades can be classified into different categories such as A, B and C etc, so, exam grades is a qualitative variable.

4 0
4 years ago
How to solve fx=|4x|+5
olganol [36]
Replace x with |4x|+5 and simplify
7 0
3 years ago
I have a question for 7th grade math that is do today.The math question is what is 56+(-56)=? I would guess it equals 0 but am I
qaws [65]

Answer:

56 + -56 = 0

Step-by-step explanation:

because when there is a negative and a positive you add them together getting 0

Sorry its hard to explain but yes you are correct

I hope this helps

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3 0
3 years ago
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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

<h3>log_{10}(10)  = 1</h3>

So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
3 years ago
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