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Evgen [1.6K]
3 years ago
10

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

tandard form.
7, -11, and 2 + 6i

f(x) = x4 - 53x2 + 468x - 3080

f(x) = x4 - 9x3 - 42x2 + 234x - 3080

f(x) = x4 - 117x2 + 468x - 3080

f(x) = x4 - 9x3 + 42x2 - 234x + 3080
Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0
The first thing you should do is to determine all the zeros, and you will have 7, -11, 2 + 6i, 2 - 6i.
 After that you have to <span>subtract and (x) from every each zero that you have above, which means 
</span>7-x, &#10;&#10; -11-x, &#10;&#10;2 + 6i-x,&#10;&#10; 2 - 6i-x&#10;
<span>And the last step is to multiply them together, and that's all you need! 
</span>(7-x)(-11-x)(2 + 6i-x)(2 - 6i-x)
<span>I am pretty sure that everything hase become clear! Regards.</span>
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Step-by-step explanation:

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3 years ago
What’s 448+1.75+80.3 step by step
Serga [27]

Answer:

530.05

Step-by-step explanation:

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6 0
3 years ago
In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. If there were 45 basket
-BARSIC- [3]

Answer:

B. r + l = 45; 2r + 3l = 96

39 regular; 6 long-distance

Step-by-step explanation:

There were 45 baskets, so

(1) r + l = 45

There were 96 points in the game, so

(2) 2r + 3l = 96

Solve equation (1) for l

                    l = 45 – r     Substitute the value for l in Equation (2)

2r + 3(45 – r) = 96      Remove parentheses

 2r + 135 - 3r = 96      Combine like terms

         -r + 135 = 96      Subtract 135 from each side

                  -r = -39      Multiply each side by -1

                  r = 39      Substitute the value of r in Equation (1)

           39 + l = 45        Subtract 39 from each side

                   l = 6

===============

Check:

(1) 39 + 6 = 45

         45 = 45

(2) 2×39 + 3×6 = 96

           78 + 18 = 96

                   96 = 96


4 0
3 years ago
Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of si
Inessa [10]

Using relations in a right triangle, it is found that:

  • \sin{x} = \frac{6}{10} = 0.6
  • \cos{y} = \frac{6}{10} = 0.6
  • Since x and y are complementary angles, we have that sin(xº) = cos(yº).

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

The hypotenuse in this problem is given as follows:

h^2 = 6^2 + 8^2

h = \sqrt{100}

h = 10.

The sine of x is:

\sin{x} = \frac{6}{10} = 0.6

The cosine of y is:

\cos{y} = \frac{6}{10} = 0.6

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

8 0
2 years ago
What is the value of x if <br> 4x - 9 = 11?<br> A. 1/2<br> B.2<br> C.5<br> D.20
Maru [420]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
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