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nikklg [1K]
3 years ago
7

A polynomial function upper P left parenthesis x right parenthesis with rational coefficients has the given roots. Find two addi

tional roots of upper P left parenthesis x right parenthesis equals 0. i and 7 + 8i
Mathematics
1 answer:
mylen [45]3 years ago
5 0

Given that a polynomial function P(x) has rational coefficients.

Two roots are already given which are i and 7+8i,

Now we have to find two additional roots of P(x)=0

Given roots i and 7+8i are complex roots and we know that complex roots always occur in conjugate pairs so that means conjugate of given roots will also be the roots.

conjugate of a+bi is given by a-bi

So using that logic, conjugate of i is i

also conjugate of 7+8i is 7-8i

Hence final answer for the remaining roots are (-i) and (7-8i).

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19 4/12 + 17 2/11 - 16 6/9 =
SOVA2 [1]

Answer:

19 28/33

Step-by-step explanation:

lets work out the whole number parts first:

= 19 + 17 - 16 = 20.

4/12 + 2/11 - 6/9

= 1/3 + 2/11 - 6/9

Find the LCM of the denominators:

3 = 3

11 = 11

9 = 3*3

- so the LCM is 3*3*11 = 99.

So we have:

33/99 + 18/99 - 66/99

= 51/99 - 66/99

= -15/99

= -5/33

So the answer is  20 - 5/33

= 19 28/33

You just had to subtract 5/33 from 20.

6 0
4 years ago
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katen-ka-za [31]
First question:b 
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3 0
3 years ago
How many subjective functions are there from {1,2,3,4} to {1,2,3}
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Answer:

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Step-by-step explanation:

4 0
3 years ago
The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500. After 2 years,
Dmitry_Shevchenko [17]
<span>The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500. After 2 years, the item is worth $551.25. Which equation represents y, the value of the item after x years? idk sorry</span>
8 0
3 years ago
Read 2 more answers
Calculate the monthly lease payment for a 36-month lease on a car with a $29,000 MSRP, a 79% residual value, and a money factor
Scrat [10]
<h3>Option A</h3><h3>The monthly lease payment for a 36-month lease on a car  is $ 358.64</h3>

<em><u>Solution:</u></em>

Given that,

MSRP of car = $29,000

Percentage of residual = 79% = \frac{79}{100} = 0.79

<em><u>Find residual value</u></em>

\text{Residual value } = \text{ MSRP } \times \text{ Percentage of residual } \\\\\text{Residual value } = 29000 \times 0.79 \\\\\text{Residual value } = 22910

<em><u>Find the depreciation amount</u></em>

Depreciation amount = cost - residual value

Depreciation amount =  29000 - 22910 = 6090

<em><u>Find Base monthly lease payment</u></em>

\text{Base monthly lease payment } = \frac{ \text{ Depreciation amount  }}{ \text{ number of months }}

\text{ Base monthly lease payment } = \frac{6090}{36} = 169.1667

<em><u>Find Interest per month</u></em>

\text{ Interest per month } = (cost + residual ) \times \text{ money factor }

\text{Interest per month } = (29000 + 22910) \times 0.00365= 189.4715

<em><u>Find monthly lease payment</u></em>

Monthly lease payment = Base monthly lease payment + Interest per month

Monthly lease payment = 169.1667 + 189.4715 = 358.6382 \approx 358.64

Thus monthly lease payment is $ 358.64

Option A is correct

5 0
4 years ago
Read 2 more answers
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