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Alja [10]
2 years ago
12

I need to use Multi-Step function inverse to find the following:

Mathematics
1 answer:
dexar [7]2 years ago
5 0

<u>Answer</u>:

f^{-1}(x) = \sqrt[5]{\frac{x+7}{9} -10}

<u>Explanation</u>:

given : f(x) = 9( x^5 + 10 ) - 7

replace x and y with each other.

  • x = 9( y^5 + 10 ) - 7

solve for y

  • x + 7 = 9( y^5 + 10 )
  • ( y^5 + 10 ) = \frac{x + 7}{9}
  • y^5 + 10 = \frac{x + 7}{9}
  • y^5 = \frac{x + 7}{9} - 10
  • y = \sqrt[5]{\frac{x+7}{9} -10}

Therefore,

  • f^{-1}(x) = \sqrt[5]{\frac{x+7}{9} -10}
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Answer:

The total points by Washington High School =  162 points

The total points by  Johnson High School   =  159 points

The total points by  Roosevelt High School =  108 points

The total points by  Lewis High School =  196 points

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points= 2 points

Step-by-step explanation:

Points awarded for first place = 10 points

Points awarded for second place = 8 points

Points awarded for third place = 7 points

About Washington High School

10 first places  = 10 x ( 10) = 100 points

6 second places  = 6 x ( 8) = 48 points

2 first places  = 2 x ( 7) = 14 points

So, the total points by  Washington High School  = Sum of all points  

=  100 + 48 + 14   =  162 points     .............. (1)

About Johnson High School

8 first places  = 8 x ( 10) = 80 points

9 second places  = 9 x ( 8) = 72 points

1 first places  = 1 x ( 7) = 7 points

So, the total points by  Johnson High School  = Sum of all points  

=  80 + 72 + 7   =  159 points    .............. (2)

About Roosevelt High School

4 first places  = 4 x ( 10) = 40 points

5 second places  = 5 x ( 8) = 40 points

4 first places  = 4 x ( 7) = 28 points

So, the total points by  Roosevelt High School  = Sum of all points  

=  40 + 40 + 28   =  108 points  .............. (3)

About Lewis High School

3 first places  = 3 x ( 10) = 30 points

3 second places  = 3 x ( 8) = 24 points

6 first places  = 6 x ( 7) = 42 points

So, the total points by  Lewis High School  = Sum of all points  

=  30 + 42 + 24   =  96 points      .............. (4)

Now, comparing all four equation, we get that:

Washington High School  has WON the meet.

Johnson High School came second.

The difference in the points  = 162 - 159 = 2 points

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Given data

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From equation 1

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