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EastWind [94]
2 years ago
5

The Values in the table represent a function.

Mathematics
1 answer:
Anna35 [415]2 years ago
8 0

Answer:

  • f(-6) = 8
  • f(3) = -2
  • x = 4

Step-by-step explanation:

An ordered pair is related to function notation by ...

  (x, y)   ⇔   f(x) = y

where <em>f</em> is the function name, and <em>( )</em> enclose the argument(s) of the function.

__

<h3>a)</h3>

The ordered pair (-6, 8) gets translated into the above form as ...

  f(-6) = 8

__

<h3>b)</h3>

We are looking for the f(x) value that has 3 in the x-column.

  f(3) = -2

__

<h3>c) </h3>

We are looking for the x value that has -5 in the f(x) column.

  f(4) = -5

  f(x) = -5 when x = 4

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The students in a college marching band are arranged in rows. The recursive rule f(n) = f(n − 1) + 8 and f(1) = 13 gives the num
anzhelika [568]

Answer:

There are 24 more trumpet players than clarinet players

Step-by-step explanation:

The given information are;

The recursive rule or the number of band members in a row is f(n) = f(n - 1) + 8

Where f(1) = 13

The members of the band players in row 1 = The clarinet players

The members of the band players in row 4 = The trumpet players

Therefore, the number of clarinet players = f(1) = 13

The number of band members in row 2, f(2)  = f(1) + 8 = 13 + 8 = 21

The number of band members in row 3, f(3)  = f(2) + 8 = 21 + 8 = 29

The number of band members in row 4, f(4)  = f(3) + 8 = 29 + 8 = 37

Therefore, given that the trumpet players are in row 4, the number of trumpet players = The number of band members in row 4 = 37 Trumpet players

The difference in the number of trumpet and clarinet = The number of more trumpet players than clarinet players = 37 - 13 = 24 more trumpet players than clarinet players

There are 24 more trumpet players than clarinet players.

3 0
3 years ago
Help help help help help
Mkey [24]

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

<em>Additional comment</em>

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

5 0
2 years ago
The product of two consecutive odd integers is 143 find their sum
Alexus [3.1K]
11*13=143
11+13=24
The sum of the two consecutive odd integers is 24
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3 years ago
A cereal manufacturer packages breakfast cereal in individual - sized boxes measuring 2 inches by 3 inches by 4 inches. The same
Ilia_Sergeevich [38]

Answer:

2.5

Step-by-step explanation:


3 0
3 years ago
Solve the equation the square of 2x + 1 equals the square of x + 4
gavmur [86]
I am sorry this is where I can get too.

8 0
3 years ago
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