3 years ago

Express your answer as a polynomial in standard form.

Mathematics

1 answer:

lana [24]3 years ago

7 0

9514 1404 393

Answer:

f(g(x)) = -3x^2 -2x -3

Step-by-step explanation:

Given:

f(x) = -x-7

g(x) = 3x^2 +2x -4

Find:

f(g(x))

Solution:

Substitute per the function definitions.

f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7

f(g(x)) = -3x^2 -2x -3

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Given:

100m = distance

120s = time

Asked:

Speed = ?

Formula:

Speed = d/t

Solution:

Speed = 100m/120s

Speed = 0.83333333333

Speed = 0.83m/s

Final Answer:

The speed of the sailboat is 0.83m/s

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3 years ago

The areas of the squares adjacent to two sides of a right triangle are shown below.

UkoKoshka [18]

Answer:

$85\:\mathrm{units^2}$

Step-by-step explanation:

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All right triangles must follow the Pythagorean Theorem $a^2+b^2=c^2$ where $c$ is the hypotenuse of the triangle.

Therefore, let $h$ be the side length of this largest square. Since the area of a square with side length $s$ is given by $s^2$ , $h^2$ will represent the area of the square: