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vodka [1.7K]
3 years ago
6

Simplify and justify steps 4(a+2b)=3(2a-b)+6a-7b

Mathematics
1 answer:
natima [27]3 years ago
6 0
4( a + 2b ) = 4a + 4*(2b) = 4a + 8b;
3( 2a - b ) = 3*(2a) - 3b = 6a - 3b;
3( 2a - b ) + 6a - 7b = 6a - 3b + 6a - 7b = 6a + 6a -3b -7b = 12a - 10b;
Finally, 4a + 8b = 12a - 10b;
8b + 10b = 12a - 4a;
18b = 8a ;
9b = 4a.
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Evaluate f(-12) given f(x) = -21x - 12
frozen [14]

Answer:

The answer for the given function is f( -12 ) = 240.

Step-by-step explanation:

Given:

f(x)=-21x-12

To Find :

F ( -12 ) = ?

Solution:

Function:

  1. A function is like a machine that gives an output for a given input.
  2. A function has an independent variable which is called the input of the function.
  3. The output for a given input is called the dependent variable.

For Example

f ( x ) = x + 3

x = independent variable

f ( x ) = Output for a given input

Here we have

f(x)=-21x-12\\Put\ x=-21\\\therefore f(-12) = -21\times -12 - 12\\\therefore f(-12) = 252 - 12\\\therefore f(-12) = 240

Therefore f(-12) = 240

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Answer:

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Step by step explanation:

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Answer:

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Step-by-step explanation:

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  1 = 1·1·1 = 1³

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The rule is ...

  f(n) = n³

The cubes of 5 through 9 will complete the set of numbers ...

  1, 8, 27, 64, 125, 216, 343, 512, 729

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