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lakkis [162]
3 years ago
6

(Algebra 2) write a polynomial function of least degree with integral coefficients that has the given zeros.

Mathematics
1 answer:
saveliy_v [14]3 years ago
6 0

Answer:

x^{2} -2ix+3=0 .

Step-by-step explanation:

Given the zeroes of the polynomial are

a=-i . and b=3i

The recquired polynomial is (x-a)(x-b)=0

On substituting the values of a and b we get

(x+i)(x-3i)=0

x^{2} -3xi+ix-3i^{2}=0

x^{2} -2ix+3=0 .       (∵i^{2}=-1)

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monitta

The chart that could be used to display the data is D. Circle graph because the data is numerical

<h3>What is a circle graph?</h3>

A circle graph, also known as a pie chart, is a circular statistical visual that is divided into slices to demonstrate numerical proportion. In a pie chart, the arc length of each slice is proportional to the quantity shown. A pie chart is a graphical representation of data that takes the form of a circular chart or pie, with the slices representing the magnitude of the data. A list of numerical variables as well as category categories is required to represent data in the form of a pie chart.

A circle graph, also known as a pie chart, is a type of graph that is used to visually represent information and statistics. A circle graph is commonly used to demonstrate a study's proportionate outcomes. The arcs of a circle graph are proportional to the percentage of the population who responded to a specific question.

In this case, it can be used to show the students' grade points. Finally, D is the correct answer.

Learn more about graphs on:

brainly.com/question/24461724

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7 0
1 year ago
Read 2 more answers
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
Liono4ka [1.6K]

The solution of the radical equation is x = 5 / 3.

<h3>How to solve radical equation?</h3>

The radical equation can be solved by isolating x.

Therefore, the radical equation can be solved as follows:

√3x - 1   - 2 = 0

add 2 to both sides

√3x - 1   - 2 = 0

√3x - 1   - 2 + 2 = 0 + 2

√3x - 1 = 2

square both sides

√3x - 1 = 2

(√3x - 1 )² = 2²

Hence,

(√3x - 1 )² = 2²

3x - 1 = 4

Therefore, add 1 to both sides

3x - 1 = 4

3x - 1 + 1 = 4 + 1

3x = 5

divide both sides by 3

3x  = 5

3x / 3 = 5 / 3

x = 5 / 3

Therefore, the solution of the radical equation is x = 5 / 3.

learn more on radical equation here: brainly.com/question/28442352

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7 0
1 year ago
Jason bought 10 of the 30 raffle tickets for a drawing. What is the probability that Jason will win all 3 of the prizes if once
anastassius [24]

For the first drawing, there are  30  tickets altogether, and Jason
has  10  of them.  The probability that one of his tickets will win is

                                                               10 / 30 .

For the second drawing, there are  29  tickets altogether, and Jason
has  9  of them.  The probability that one of his tickets will win is

                                                                 9 / 29 .

For the third drawing, there are  28  tickets altogether, and Jason
has  8  of them.  The probability that one of his tickets will win is

                                                                 8 / 28 .

The probability that all three of these things will happen is

                      (10/30) x (9/29) x (8/28)  =  720 / 24,360

                                                             =  6 / 203  =  2.96 percent (rounded)    

7 0
3 years ago
Read 2 more answers
Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and di
butalik [34]
The graph of the journey is shown in the speed-time graph below

At the time = 3 minutes, Peter would have achieved the speed V. 

The distance he travelled is the area under the line as shown in the graph

We first need to find the V by using the area of a rectangle formula

Area= \frac{(b)(h)}{2}
330= \frac{3h}{2}
660=3h
h=660/3=220

so V=220
the gradient the f slope then given as \frac{220}{3}

6 0
4 years ago
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A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7% vinegar, and the second brand co
Lina20 [59]

Answer: There is 162 ml of first brand and 108 ml of second brand.

Step-by-step explanation:

Since we have given that

Percentage of vinegar that the first brand contains = 7%

Percentage of vinegar that the second brand contains = 12%

Percentage of vinegar in mixture = 9%

Total amount of dressing = 270 ml

We will use "Mixture and Allegation":

First brand                  Second brand

     7%                                12%

                       9%

--------------------------------------------------------

12%-9%             :                9%-7%

 3%                   :                    2%

So, ratio of first brand to second brand in a mixture is 3:2.

So, Amount of first brand she should use is given by

\dfrac{3}{5}\times 270\\\\=162\ ml

Amount of second brand she should use is given by

\dfrac{2}{5}\times 270\\\\=108\ ml

Hence, there is 162 ml of first brand and 108 ml of second brand.

4 0
4 years ago
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