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Irina18 [472]
3 years ago
13

If f(x)=3x+2and g(x)=x^2-9 find (f-g)(x)

Mathematics
1 answer:
mel-nik [20]3 years ago
5 0

Step-by-step explanation:

If f(x)=3x+2and g(x)=x^2-9

find (f-g)(x)

f(x)- g(x) = [3x + 2] - [x^2 - 9]

= -x^2 + 3x + 11

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3 years ago
Visitors to a carnival are invited to guess the number of beans in a jar. The person who guesses the correct number wins $300 if
andrew11 [14]

The relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.

Since visitors to a carnival are invited to guess the number of beans in a jar, and the person who guesses the correct number wins $ 300, but if multiple people guess correctly, the prize will be divided evenly among them, to determine what is the relationship between the number of people who guess correctly and the amount of money each person will recieve the following logical reasoning must be performed:

Since the prize is a fixed number, 300, it is a value that will not change. In turn, the more people who have guessed right, the lower the amount of money that each of them will win (because the number 300 will be divided by a greater number).

Therefore, the relationship between the two variables is inverse proportionality, that is, the greater the number of people, the less the amount of money earned.

Learn more in brainly.com/question/2548537

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Write the equation of a line that passes through the<br> point (0, 2) and has a slope of -2/3.
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Step-by-step explanation:

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8 0
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3 0
3 years ago
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Which graph shows the solution to this system of inequalities?<br><br> y&lt;-1/3x+1<br> y&lt;_2x-3
kari74 [83]

The graph that shows the solution to the system of inequalities is: C (see the image attached below).

<h3>How to Determine the Graph of the Solution to a System of Inequalities?</h3>

Given the following systems of inequalities:

y < -1/3x + 1

y ≤ 2x - 3

Below are the features of the graph that represents a solution to the system of inequalities:

  • The boundary line of y < -1/3x + 1 would be a dashed line and the shaded area would be below it, because of the inequality sign, "<".
  • The boundary lines of y ≤ 2x - 3 would be a solid line and the shaded area would be below it, because of the inequality sign, "≤".
  • The slope of the shaded line that represents  y < -1/3x + 1, would be -1/3, and the line would be a decreasing line which intersects the y-axis at 1.
  • The slope of the line that represents y ≤ 2x - 3, would be 2, and the line would also be an increasing line that intersects the y-axis at -3.

Therefore, the graph that shows the solution to the system of inequalities is: C (see the image attached below).

Learn more about the graph of the system of inequalities on:

brainly.com/question/10694672

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8 0
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