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AURORKA [14]
3 years ago
10

Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property

<u>Algebra I</u>

  • Combining Like Terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)
  2. Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7
  3. Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7
  4. Combine like terms (Z):          (f - g)(x) = x² - 3x - 70
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Answer:

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Step-by-step explanation:

The computation of the selling price of the goods are shown below:

As we know that

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6 0
3 years ago
Sarah kicked a ball in the air. The function
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Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

f=30 t- 6t^{2} (1)

Where f models the height of the ball in meters and t the time.

Now, let's find the time t when the ball Sara kicked hits the ground (this is when f=0 m):

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Rearranging the equation:

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Dividing both sides of the equation by 6:

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This quadratic equation can be written in the form at^{2}+bt+c=0, and can be solved with the following formula:  

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Solving we have the following result:

t=5 s  This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0
3 years ago
A pony keg (quarter barrel) of beer contains 62 pints.  If the local drinking establishment sells draft beer in 400mL pilsner gl
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HeLp!!
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Answer:

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Hope this helps!

4 0
3 years ago
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