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tatiyna
3 years ago
14

Factor the polynomial completely over the set of complex numbers.

Mathematics
1 answer:
GenaCL600 [577]3 years ago
6 0

If you evaluate your polynomial at x= - 3, the polynomial = 0. So, that means ( x + 3 ) is a factor. Either using long division, or synthetic division, you'll find out that 2x^3 - 9x^2 + 3x + 4 remains. Then if you try x = 4 on that remaining polynomial, it will = 0. Use long division or synthetic division to find out that 2x^2 - x - 1 is left over. That trinomial factors into ( 2x + 1 ) ( x - 1 ).

factored form is ( x+3 )( x - 4 )( 2x + 1 )( x - 1 )

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Tamara purchased 1,500 shares of a mutual fund at an offer price of $7.08 per share. Later she sold the investment for $10.02 pe
den301095 [7]

Answer:

Return of investment = 44.5%

Step-by-step explanation:

Number of shares purchased by Tamara = 1500

Offer price per share = 7. 08

Total amount spent on purchasing shares = 1500 × 7.08 = 10620

Dividend receive per share = 0.21

Total dividend received on 1500 shares = no. of shares × dividend received per share

Total dividend received = 1500 × 0.21 = 315

Selling price per share = 10.02

Amount received by Tamara by selling the investment = no. of shares × selling price per share

Amount received by Tamara by selling the investment

= 1500 × 10.02

= 15030

Now, Net profit received on investment = S.P of Investment + Dividend received - C.P of investment

Net profit = 15030 + 315 - 10620 = 15345 - 10620 = 4725

Return on investment = \frac{Net\ profit}{Cost\ of\  investment} \times 100

= \frac{4725}{10620} \times 100 = 44.49%

≈ 44.5 %

6 0
4 years ago
For the pair of similar triangles find the length of side f
Wittaler [7]
I got 13.14 for f, since the scale factor is 1.75.
6 0
3 years ago
Im2 finding angles using algebra <br>find: m&lt;BEC ​
adoni [48]

Answer:

m<bec = 60

Step-by-step explanation:

3x +2x +x = 180 (combine like terms)

6x = 180 (divide 180 by 6 to get x alone on one side of the equation)

x = 30

BUT you're not done yet because it asked for m<bec which is 2x so you have to multiply 30(2) which is 60

8 0
3 years ago
A storeowner orders 25 calculators that cost $32 each.The storeowner can sell each calculator for 40$ .the storeowner sold 22 ca
pantera1 [17]

Answer:

$74 is the store owners profit

Step-by-step explanation:

25 (caculators) × $32 ( calculator cost)=$800 [(how much they costed when the owner order them it costed him $800)]

22 ( calculator that he sold) × $40 ( calculator cost) = $880 [( how much he made when he old them)]

$880-$6 ( because he had to return three calculators that he could not sell and had to pay a $2 charge for every one he return 3 (calculator)= $6) =$874(how much he made after selling that calculators

$874 - $800= $74

( he bought the cacaulators for $800 and sold them for $874 so you have to subtract the $800 dollars that he had to buy the calculators for, he made $74 )

6 0
3 years ago
In a year-long music course, you are required to attend 12 concerts. Last season, the lengths of the concerts were 92, 101, 98,
lianna [129]
Hello!

The five-number summary is the lowest number, highest number, median, quartile 1 and quartile 3

First you should order the numbers from least to greatest.

65, 78, 80, 90, 92, 92, 98, 101,106, 112, 116, 119

The lowest number is 65

The highest number is 119

Next you can find the median

The median is the number in the middle

The two numbers in the middle are 92 and 98

Since there are two numbers you take the average

92 + 98 = 190

190/2 = 95

The median is 95

Now we know the answer is either A or B

Next you can find the lower quartile

The lower quartile is the median of the numbers under the median

So we list all the numbers under 95

65, 78, 80, 90, 92, 92

The numbers in the middle are 80 and 90

The average between these two is 85

So the lower quartile is 85

From this we know the answer is B

The answer is B

Hope this helps!
3 0
4 years ago
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