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zalisa [80]
3 years ago
9

Put these numbers in descending order 0.516 , 0.615 , 0.609 , 0.506

Mathematics
2 answers:
den301095 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

0.615,  0.609, 0.516, 0.506

Margaret [11]3 years ago
8 0

The answer in descending order is 0.615, 0.609, 0.516 and 0.506

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Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the zeros 4 and 3−
Neko [114]

Answer:

P(x) = x^3 - 10x^2+ 34x-40

Step-by-step explanation:

Given

p =1 -- Leading coefficient

Zeros: 4\ and\ 3  - i

Required

Determine the polynomial

Represent the zeros with a and b

Such that

a = 4

b = 3 - i

The polynomial is:

P(x) = p * (x - a) * (x - b)

P(x) = 1 * (x - 4) * (x - (3 - i))

However, to solve further: We need to symmetrise over 3-i  and its conjugate

P(x) = 1 * (x - 4) * (x - (3 - i))* (x - (3 + i))

P(x) =  (x - 4) * (x - (3 - i))* (x - (3 + i))\\\\

To define a suitable function, the expression becomes

P(x) =  (x - 4) * ((x - 3)^2+1)

P(x) =  (x - 4) * ((x - 3)(x - 3)+1)

P(x) =  (x - 4) * (x^2 - 6x + 9+1)

P(x) =  (x - 4) * (x^2 - 6x +10)

Open bracket

P(x) = x^3 - 6x^2 +10x - 4x^2 + 24x-40

P(x) = x^3 - 6x^2  - 4x^2+10x + 24x-40

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5 0
3 years ago
Chris Christina collects stamps she is 47 stamps and all she has 20 from Europe the number of African stamps is 2 times the numb
AVprozaik [17]

Answer:

Step-by-step explanation:

Let x represent the number of stamps from Europe.

Let y represent the number of stamps from Africa.

Let z represent the number of stamps from Asia.

She has 47 stamps in all. This means that

x + y + z = 47 - - - - - - - - - - - 1

The number of African stamps is 2 times the number of Asian stamps. This means that

y = 2z

She has 20 stamps from Europe. Therefore, substituting x = 20 and y = 2z into equation 1, it becomes

20 + 2z + z = 47

3z = 47 - 20 = 27

z = 27/3 = 9

y = 2z = 2 × 9

y = 18

She has 20 stamps from Europe, 18 stamps from Africa and 9 stamps Asia.

7 0
3 years ago
Five and three eights in decimal form
sergey [27]
The answer is 5.375

Hope that helps
3 0
3 years ago
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Mike took a taxi from his home to the airport. The taxi driver charged an initial fee of $6 plus $3 per mile. The total fare was
snow_tiger [21]

Answer:

x=6

Step-by-step explanation:

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-6  -6

<u>18</u>=<u>3x</u>

3    3

6=x

x=6

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3 years ago
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Anettt [7]
It'd be a lot easier to help you if you'd share the answer graphs.

Just so that you know:

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</span>
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2.  Now move the entire graph 1 unit to the left.  This gives you the graph of y = log (x+1).

3.  Now translate this entire graph up 3 units.  This gives you the graph of <span>f(x) = log(x + 3) + 1.</span>
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3 years ago
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