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Monica [59]
3 years ago
7

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

tandard form. 3, -13, and 5 + 4i
Mathematics
1 answer:
myrzilka [38]3 years ago
5 0
Complex zeros exist in conjugate pairs so the fourth zero is 5 - 4i
So we have

P(x)  = ( x - 3)(x + 13)(x - (5 + 4i))(x - (5 - 4i))

   = (x - 3)(x + 13)( x - 5 - 4i)(x - 5 + 4i)

  = (x^2 + 10x - 39)(x^2 - 5x + 4ix - 5x + 25 -20i - 4ix  + 20i -16i^2)

 = (x^2 + 10x - 39)(x^2 - 10x + 41)

= x^4 - 10x^3 + 41x^2 + 10x^3  - 100x^2 + 410x  - 39x^2 + 390x - 1599

=  x^4 - 98x^2 + 800x - 1599  Answer
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(25 points) Ricardo wants to mix 1 part yellow paint to 3 parts blue paint to make a certain shade
Lapatulllka [165]

Answer:

6 pints of blue

Step-by-step explanation:

note- 8 pints = 1 gallon

Original ratio- 3 parts blue to 1 part yellow ( 3b:1y)

This will make 4 pints if we say that 1 part can be one pint
Ricardo needs 8 pints

Divide the amount needed by how much one portion will make

8/4= 2

Multiply original ratio by 2 to see how many pints of each he’ll need for his new amounts

1y*2= 2 pints yellow paint

3b*2=6 pints of blue paint

So to make 8 pints of green with 3 parts blue to 1 part yellow Ricardo will need 6 pints of blue paint


Let me know if you have any questions and I hope this helps! :)

6 0
2 years ago
Find the sum and choose the correct answer.2n 3 + 4n 2 - 7 and -n 3 + 8n - 9
Delvig [45]
N<span><span><span>​3</span><span>​​</span></span>+4<span>n<span><span>​2</span><span>​​</span></span></span>+8n−16
  hope helped
</span>
7 0
3 years ago
Read 2 more answers
A card is selected at random from a deck of cards. What is the probability of randomly selecting a diamond or a 7?
Dominik [7]

Answer:

your answer is 4/13ths. #markasbrainliest

7 0
3 years ago
Use unit rate to find the unknown value 16/32 equals blank over 14​
grigory [225]

Answer:

x = 7

Step-by-step explanation:

simplify 16/32

16/32 divided by 8/8=2/4

2/4 divided by 2=1/2

so

1/2 = x/14

to get to 14  from 2 you need to multiply by 7

1/2 times 2/2 = 7/14

so x = 7

5 0
3 years ago
Melanie invested $3,800 in an account paying an interest rate of 2 % compounded
GaryK [48]

Answer:

.85

Step-by-step explanation:

Compound interest formula

PV(1+\frac{i}{n})^{nt}

Melanie:

3800(1+\frac{.02}{4})^{(6*4)\\}\\=3800(1+.005)^{24}\\3800*1.1272=4283.21

Sebastian:

3800(1+\frac{.02}{12})^{12*6}\\3800(1.0017)^{72}\\3800*1.1274=4284.06

4824.06-4283.21= .85

4 0
3 years ago
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