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Tanzania [10]
3 years ago
14

Find a degree 3 polynomial with real coefficients having zeros 2 and 3i and a lead coefficient of 1. Write P in expanded form. B

e sure to write the full equation including
P(x)=​
Mathematics
1 answer:
Natali [406]3 years ago
7 0

Answer:

f(x)=x³-2x²+9x-18

Step-by-step explanation:

complex zeros always occur in pairs.

zeros are 2,3i,-3i

f(x)=(x-2)(x-3i)(x+3i)=(x-2)((x)^2-(3i)^2)

=(x-2)(x^2-9i^2)

=(x-2)(x^2+9)

=x^3-2x^2+9x-18

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2 years ago
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Dylan walked 1/2 miles in 20 minutes. How far will he go (in miles) in 120 minutes? ​
viva [34]

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He will have gone 3 miles after 120 minutes

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A ship leaves port on a bearing of 34.0 and travels 10.4 mi. the ship then turns due east and travels 4.6mi. how far is the ship
Natasha2012 [34]
A bearing of 34° corresponds to corresponding angle of θ=90-34=56°
The (x,y) values for the position of the ship after completing its first heading are:
x=(10.4cos 56)
y=(10.4sin56)

The trigonometric angle for θ=90-90=0
The (x,y) values for the postion of the ship after completing the second bearing is:
x=(10.4 cos56)+(4.6cos0)≈10.4 mi
y=(10.4sin56)+(4.6sin0)≈8.6mi

the distance from the port will therefore be:
d=√(10.4²+8.6²)≈13.5 miles

It trigonometric angles is:
θ=arctan(y/x)
θ=arctan(8.6/10.4)
θ≈39.6°
Thus the bearing angle is:
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6 0
3 years ago
A) <br> 1<br> 4<br> B) <br> 1<br> 8<br> C) <br> 1<br> 12<br> D) <br> 1<br> 16
vitfil [10]

Answer:

The answer is below.

Step-by-step explanation:

3 0
3 years ago
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th
Allisa [31]

Answer:

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The combined total needs to be 6 hours or greater.

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I hope this helps you :)

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3 years ago
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