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Hitman42 [59]
3 years ago
11

Perform the indicated operation. f(x) = x^3 + 5x g(x) = 4x Find (f . g)(x)

Mathematics
1 answer:
cestrela7 [59]3 years ago
3 0

Step-by-step explanation:

f(x) =  {x}^{3}  + 5x \\ g(x) = 4x \\  \\  \therefore \: (f.g)(x) = f(x) . g(x) \\  = (  {x}^{3}  + 5x ).4x \\  =  {x}^{3} .4x + 5x.4x \\    \red{{  \boxed{\bold{\therefore \: (f.g)(x) = 4 {x}^{4}  + 20 {x}^{2} }}}}

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The answer is an intersect between both lines.
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A skateboarding ramp is 13in. high and rises at an angle of 13°. How long is the base of the ramp? Round to the nearest inch.
charle [14.2K]
<h3>Answer:  Approximately 56 inches</h3>

===========================================================

Explanation:

The diagram is shown below. We know the vertical part of the triangle is 13 inches, which is the side opposite the reference angle 13 degrees. The adjacent side is unknown. We'll call it x. This is how long the base of the ramp is, which is the horizontal distance along the entire ramp. This distance is on the ground. The ramp itself is the hypotenuse but it seems like your teacher isn't wanting to know this value. So we'll ignore the hypotenuse.

We'll use the tangent rule to connect the opposite and adjacent sides.

tan(angle) = opposite/adjacent

tan(13) = 13/x

x*tan(13) = 13

x = 13/tan(13)

x = 56.309186365694

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5 0
2 years ago
Factor x^3-4x^2-3x+18=0 given that 3 is a zero.
Mandarinka [93]

Answer:

B: (x + 2)(x - 3)^2

Step-by-step explanation:

This is only going to have 3 roots. One of them is (x - 3)

D does not look right. So let's solve it using synthetic division.

3 || 1    - 4      -3       18

            3       -3      -18

========================

     1     -1       -6        0


So what you have is a quadratic

  • x^2 - x - 6 = 0 which will factor
  • (x - 3)(x + 2) = 0
  • x - 3  = 0
  • x = 3
  • x + 2 =0
  • x = - 2
  • (x - 3)(x - 3)(x + 2 ) = 0

The answer is B

3 0
3 years ago
9 yd<br> 9 yd<br> 5 yd<br> 3 yd<br> Perimeter:<br> Area:
Kipish [7]

Area:66 Perimeter:36

Step-by-step explanation:

Perimeter: 9+9+5+3+4+6: 36

as 9-5 is 3

and 9-3 is 6

Area: 9*6 +3*4: 66

5 0
2 years ago
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