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irga5000 [103]
3 years ago
9

When f(x) = x2+9 and g(x) = x-9, find f(x)-g(x).

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

Answer:

\huge{ \boxed{ \sf{ {x}^{2}  - x + 18}}}

Step-by-step explanation:

\underline{ \text{Given}}:

\sf{f(x) =  {x}^{2} +9  \: and \:  g(x) = x-9}

\underline{ \text{To \: find}} :  \sf{ \: f(x) \:  -  \: g(x)}

Put the values:

\mapsto{ \sf{ {x}^{2}  + 9 - ( x  - 9)}}

While subtracting , sign of each term of the second expression changes.

\mapsto{ \sf{ {x}^{2}  + 9 - x + 9}}

Add the numbers : 9 and 9

\mapsto{ \boxed{ \sf{{x}^{2}  - x + 18}}}

Hope I helped!

Best regards! :D

~\text{TheAnimeGirl}

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There is a bag filled with 5 blue, 2 red and 3 green marbles,
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Answer:

0.62

Step-by-step explanation:

There are a total of 10 marbles in the bag.

P(blue and not blue) = 5/10 × 5/10 = 25/100

P(red and not red) = 2/10 × 8/10 = 16/100

P(green and not green) = 3/10 × 7/10 = 21/100

P = 25/100 + 16/100 + 21/100

P = 62/100

P = 0.62

Alternatively, you can calculate it this way:

P(both blue) = (5/10)² = 25/100

P(both red) = (2/10)² = 4/100

P(both green) = (3/10)² = 9/100

P = 1 − (25/100 + 4/10 + 9/100)

P = 1 − 38/100

P = 62/100

P = 0.62

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Step-by-step explanation:

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