F(x)=8−4x−x^3 g(x)=x^2+7x−9 Find f(x)+g(x).

1 answer:

7 0

The question requires us to add the two functions.
F(x)=8−4x−x³
g(x)=x²<span>+7x−9

</span>F(x)+g(x) = (8−4x−x³)+(x²+7x−9)
=8-9+7x-4x+x²-x³
= -1+3x+x²-x³

=x²-x³+3x-1

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A boat sails 285 miles south and then 132 miles west. What is the magnitude of the boats resultant vector?

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The magnitude of the boats resultant vector is 314.1 mi

<h3>What is a vector?</h3>

A vector is a physical quantity that has both magnitude and direction.

<h3>What is a resultant vector?</h3>

A resultant vector is the sum of two or more vectors.

<h3>How to find the boats resultant vector?</h3>

Since the boat sails 285 miles south and then 132 miles west, we have that its first direction vector is r = (285 mi)j. Also, its direction vector west is r' = -(132 mi)i

So, the resultant vector R = r + r'

= (285 mi)j + (132 mi)i

= (132 mi)i + (285 mi)j

So, the magnitude of the resultant vector is R = √(r² + r'²)

So, substituting thevalues of the variables into the equation, we have

R = √(r² + r'²)

R = √((285 mi)² + (132 mi)²)

R = √(81225 mi² + 17424 mi²)

R = √(98649 mi²)

R = 314.08 mi

R ≅ 314.1 mi

So, the resultant vector is 314.1 mi