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SSSSS [86.1K]
3 years ago
14

The table represents a function.

Mathematics
1 answer:
Elenna [48]3 years ago
3 0

f(5) is -8 ⇒ 1st answer

Step-by-step explanation:

Function is a relation between set of of ordered pairs (x , y),and every x has only one y

Examples:

  • {(-1 , 2) , (2 , 4) , (5 , -3)} is a function because x = -1 has only y = 2, x = 2 has only y = 4 and x = 5 has only y = -3
  • {(-2 , 4) , (0 , -1) , (-2 , 5)} is not a function because x = -2 has y = 4 and 5

The notation of the function is f(x) = y

The table:

→    x     :    f(x)

→    -4    :    -2

→    -1     :    5

→     3    :    4

→     5    :   -8

From the table

∵ x = -4

- The corresponding value of y to x = -4 is -2

∴ f(-4) = -2

∵ x = -1

- The corresponding value of y to x = -1 is 5

∴ f(-1) = 5

∵ x = 3

- The corresponding value of y to x = 3 is 4

∴ f(3) = 4

∵ x = 5

- The corresponding value of y to x = 5 is -8

∴ f(5) =-8

f(5) is -8

Learn more:

You can learn more about the functions in brainly.com/question/10879401

#LearnwithBrainly

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Expand using pascal triangle (3x+2)^4
Liula [17]

Answer:

The answer is

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Step-by-step explanation:

(3x + 2)⁴

<u>Using the Pascal's triangle</u>

For an exponent of 4 we have

( a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b³

Using a = 3x and b = 2 we have

( 3x +2)⁴ = ( 3x)⁴ + 4 [ (3x)³(2) ] + 6[ (3x)²(2)²] + 4 [ 3x(2)³ ] + 2⁴

Expand and simplify

That's

➢ ( 3x +2)⁴ = 81x⁴ + 4[ (27x³)(2) ] + 6 [ (9x²)(4) ] + 4 [ 3x(8) ] + 16

➢ 81x⁴ 4( 54x³) + 6(36x²) + 4( 24x) + 16

We have the final answer as

<h3>81x⁴ + 216x³ + 216x² + 94x + 16</h3>

Hope this helps you

6 0
3 years ago
Mason's favorite brand of peanut butter is available in two sizes. Each size and its price are shown in the table. Use the table
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Answer:

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Step-by-step explanation:

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