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Law Incorporation [45]
3 years ago
10

the function f(x)= x+3 represents the length of a rectangle. the function g(x)=12x-5 represents the width of the rectangle. use

(f • g)(3) to determine the area of the rectangle.
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
6 0

Answer:

(f • g)(3) = 186

Step-by-step explanation:

The area of a rectangle is (length)(width).

Here, (length) = x + 3 and (width) = 12x - 5, and so the area as a function of x is

(f • g)(x) = (x + 3)(12x - 5) = 12x^2 - 5x + 36x - 15.

This simplifies to:

(f • g)(x) = (x + 3)(12x - 5) = 12x^2 + 31x - 15.

Evaluating this function at x = 3, as instructed, we get:

 (f • g)(3) = (12)( - 5) = 12(3)^2 + 31(3) - 15.

Carrying out the indicated operations, we get:  108 + 93 - 15, or

(f • g)(3) = 186

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Answer:

A linear function has the form y=mx+b

A line has a proportional relationship if y/x is always the same ratio for any value.

The slope m=(y2-y1)/(x2-x1) for some two points on a line is always constant, else it wouldn't create a line.

A line won't be proportional if you adapt b because the ratio of y/x won't match the slope anymore.

In the end this means all lines with proportional relationships must intersect (0,0) or in other words f(0)=0.

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Step-by-step explanation:

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3 years ago
Which expression is equal to<br> 5, ?<br> A<br> 542<br> B.<br> 51<br> Cw<br> D.<br> 254
nirvana33 [79]

Answer:

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3 years ago
Identify the equivalent expression for each of the expression below 3√x
antiseptic1488 [7]

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7 0
4 years ago
-(1+7x)-6(-7-x)=36 what is x equal to
Katyanochek1 [597]

Answer:

x = 5

Step-by-step explanation:

Step 1: Write equation

-(1 + 7x) - 6(-7 - x) = 36

Step 2: Solve for <em>x</em>

  1. Distribute: -1 - 7x + 42 + 6x = 36
  2. Combine like terms: -x + 41 = 36
  3. Subtract 41 on both sides: -x = -5
  4. Divide both sides: x = 5

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

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Read 2 more answers
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