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andreev551 [17]
3 years ago
14

Let f(x)=2x+2. solve f^-1(x) when x=4

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0
F⁻¹(x) is the notation for the inverse of an equation, so you just need to find the inverse equation. that's found by swapping your x and y variables:

<span>f(x) = 2x + 2  ... replace f(x) with y
y = 2x + 2  ... swap x and y variables
x = 2y + 2  ... solve for y

x = 2y + 2  ... subtract 2
x - 2 = 2y  ... divide by 2
(x - 2)/2 = y

so, </span>f⁻¹(x) = (x - 2)/2  ... now you need to solve that for when x = 4. plug it in:

f⁻¹(x) = (4 - 2)/2  ... simplify the top of the fraction
f⁻¹(x) = 2/2
f⁻¹(x) = 1 is your answer.
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D 40,000nm

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Which of the following statements best describes the graph of x + y = 2?
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C; On this line, any two values have to add to 2.

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How many different ways can you make 82 cents using current u.s. currency
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 <span>You can probably just work it out. 

You need non-negative integer solutions to p+5n+10d+25q = 82. 

If p = leftovers, then you simply need 5n + 10d + 25q ≤ 80. 


So this is the same as n + 2d + 5q ≤ 16 

So now you simply have to "crank out" the cases. 

Case q=0 [ n + 2d ≤ 16 ] 

Case (q=0,d=0) → n = 0 through 16 [17 possibilities] 
Case (q=0,d=1) → n = 0 through 14 [15 possibilities] 
... 
Case (q=0,d=7) → n = 0 through 2 [3 possibilities] 
Case (q=0,d=8) → n = 0 [1 possibility] 

Total from q=0 case: 1 + 3 + ... + 15 + 17 = 81 

Case q=1 [ n + 2d ≤ 11 ] 
Case (q=1,d=0) → n = 0 through 11 [12] 
Case (q=1,d=1) → n = 0 through 9 [10] 
... 
Case (q=1,d=5) → n = 0 through 1 [2] 

Total from q=1 case: 2 + 4 + ... + 10 + 12 = 42 

Case q=2 [ n + 2 ≤ 6 ] 
Case (q=2,d=0) → n = 0 through 6 [7] 
Case (q=2,d=1) → n = 0 through 4 [5] 
Case (q=2,d=2) → n = 0 through 2 [3] 
Case (q=2,d=3) → n = 0 [1] 

Total from case q=2: 1 + 3 + 5 + 7 = 16 

Case q=3 [ n + 2d ≤ 1 ] 
Here d must be 0, so there is only the case: 
Case (q=3,d=0) → n = 0 through 1 [2] 

So the case q=3 only has 2. 

Grand total: 2 + 16 + 42 + 81 = 141 </span>
3 0
3 years ago
What two numbers multiply to 20 and add up to 17
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That is not possible, since 20 has the factors of 1,2,4,5,10, and 20. None of those add up to 17, maybe your question has a mistake in it. For further questions, you can message me. Hope this helps! Please rate brainiest answer.
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