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Romashka [77]
3 years ago
11

Sam's Grades

Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

90-

Step-by-step explanation:

Bc A-

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Based on the Fundamental Theorem of Algebra, how many complex roots does each of the following equations have? Write your answer
Galina-37 [17]
According to the fundamental theorem of algebra, <span>every polynomial of degree n has n complex zeroes.

Part A:

Given

x(x^2-4)(x^2+16)=0 \\  \\ \Rightarrow x(x^4+12x^2-64)=0 \\  \\ \Rightarrow x^5+12x^3-64x=0

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Part B:

Given

(x^2+4)(x+5)^2 = 0 \\  \\ \Rightarrow(x^2+4)(x^2+10x+25)=0 \\  \\ \Rightarrow x^4+10x^3+25x^2+4x^2+40x+100=0 \\  \\ \Rightarrow x^4+10x^3+29x^2+40x+100=0

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Part C:

Given

x^6-4x^5-24x^2+10x-3=0

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Part D:

Given

x^7+128=0

</span><span>Thus, the given polynomial is of degree 7 and hence has 7 complex roots.</span>



Part E:

Given

(x^3+9)(x^2-4)=0 \\  \\ \Rightarrow x^5-4x^3+9x^2-36=0

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4 0
3 years ago
Because of the high heat and low humidity in the summer in Death Valley, California, a visitor requires about one quart of water
Helen [10]

Answer:

The answer to your question is   mass = 8.73 kg

Step-by-step explanation:

Data

1 quart ----- 2 mi

density = 0.99 g/ml

total distance = 30 km

Process

1.- Convert 2 mi to km

                  1 mi ------------------- 1.61 km

                  2 mi ------------------  x

                  x = (2 x 1.61)/1

                  x = 3.22 km

2.- Calculate the quarts drank

                   1 quart --------------------- 3.22 km

                   x          --------------------- 30 km

                   x = (30 x 1)/3.22

                   x = 9.32 quarts

3.- Convert quarts to milliliters

                   1 quart --------------------- 946.35 ml

                 9.32 quart ------------------- x

                  x = (9.32 x 946.35) / 1

                  x = 8817 ml

4.- Calculate the grams of water

     density = mass / volume

     mass = volume x density

-Substitution

     mass = 8817 x 0.99 g/ml

-Result

     mass = 8729 g

5.- Convert to kg

     mass = 8729/1000 kg

     mass = 8.73 kg

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3 years ago
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