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Ilia_Sergeevich [38]
3 years ago
5

Mason wants to buy some pull toys for his dogs. Each toy costs $3. He knows that 1 toy costs $3, 2 toys cost $6, and 3 toys cost

$9.
How much will 4 toys cost?
Mathematics
1 answer:
Ainat [17]3 years ago
5 0
1 toy costs $3  (  $3 x 1 = $3)<span>
2 toys cost $6  ( </span> $3 x 2 = $6)<span>
3 toys cost $9  </span>(  $3 x 3 = $9)
4 toys cost $12 ( $3 x 4 = $12)

answer 4 toys will cost $12
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For the functions f(x) = x^2+ 8x + 2 and g(x) = -5+9, find (f•g)(x)and (f.g)(-1).
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Answer:  (f·g)(x) = -5x³ - 31x² + 62x + 18

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(fog)(x) = 25x² - 130x + 155

(fog)(-1) = 310

<u>Step-by-step explanation:</u>

f(x) = x² + 8x + 2          g(x) = -5x + 9

(f·g)(x) = (x² + 8x + 2)(-5x + 9)

          = -5x³ + 9x²

                    - 40x² + 72x

            <u>                    - 10x + 18</u>

          = -5x³ - 31x² + 62x + 18

(f·g)(-1)= -5(-1)³ - 31(-1)² + 62(-1) + 18

         =  -5(-1)  - 31(1)    - 62      + 18

         =    5     -   31      - 62      + 18

         =  -70

****************************************************************************************

(fog)(x) = (-5x + 9)² + 8(-5x + 9) + 2

           = 25x² - 90x + 81

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              <u>                   +   2</u>

           = 25x² - 130x + 155

(fog)(-1) = 25(-1)² - 130(-1) + 155

            =   25    +  130    + 155

            = 310

<em>It wasn't clear if you wanted multiplication or composition so I solved both.</em>

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