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melisa1 [442]
3 years ago
6

A trimaran boat, with a top speed of 55 knots, won the tournament cup in 2010. Its top speed is 6 knots more than 3.5 times the

top speed of the winner monohull in the 2007 tournament. Find the top speed of the monohull in the 2007 tournament
Mathematics
1 answer:
slavikrds [6]3 years ago
4 0

Answer:

14 knots

Step-by-step explanation:

We know the speed (55 knots) is 6 more than 3.5 times the winner of the monohull in the 2007 tournament.

So let's set the variable for the speed of the monohull to <em>m</em>. Now, let's set up an equation:

55 = 6 + (3.5 * m)

We can solve this by first subtracting 6 from both sides to get:

49 = 3.5 * m

Dividing both sides by 3.5 we get:

14 = m

That means that the top speed of the monohull in the 2007 tournament was 14 knots

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Let f(x) = 5x - 3 and g(x)= 3x?. Perform the function operation and then find the domain of the result.
lorasvet [3.4K]

Answer:

(f - g)(x) = -3x² + 5x - 3.

<u>Domain:</u> Interval notation: ( –∞, ∞)

              Inequality notation:  –∞ < <em>x</em> < ∞

Step-by-step explanation:

Given the subtraction of function operations, (f - g)(x) where: f(x) = 5x - 3, and g(x) = 3x²:

<h2 /><h2><u>(f - g)(x)</u>:</h2>

In order to perform the required subtraction between f(x) and g(x), we must subtract the value given in g(x) from f(x).

(f - g)(x) = 5x - 3 - 3x²

Rearrange terms in descending order of degree:  

(f - g)(x) = 5x - 3 - 3x² ⇒ -3x² + 5x - 3

Therefore, (f - g)(x) = -3x² + 5x - 3.

<h2 /><h2><u>Domain:</u></h2>

Next, the given prompt requires to find the domain of the result. If you observe its graph, then you'll see that the graph progressively widens toward the negative infinity (–∞).   Since the resulting function operations is a downward-facing quadratic function, then it means that its domain values are all real numbers, as there are no domain constraints or undefined points on the graph.

Therefore, the domain of the function, (f - g)(x) = -3x² + 5x - 3 is the set of all real numbers that are common to both f(x) and g(x).

<h3><u>Domain: </u></h3>

⇒  Interval notation: ( –∞, ∞)

⇒  Inequality notation:  –∞ < <em>x</em> < ∞

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3 years ago
4 students share 3/4 of a pizza. how much of the pizza does each student get
alexgriva [62]
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Answer:

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Step-by-step explanation:

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so

The equation that represent this situation is

0.25x+y=12

5 0
3 years ago
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