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3 years ago

Which number is between 5/6 and 13

Mathematics

1 answer:

UNO [17]3 years ago

4 0

1-12 is between 5/6 and 13.
6/6 is after 5/6 and that just equals 1

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Find the inverse of the following function. Then prove they are inverses of one another.

solmaris [256]

Answer: $\dfrac{x^2+1}{2}$

Step-by-step explanation:

Given

$f(x)=\sqrt{2x-1}$

We can write it as

$\Rightarrow y=\sqrt{2x-1}$

Express x in terms of y

$\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}$

Replace y be x to get the inverse

$\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}$

To prove, it is inverse of f(x). $f(f^{-1}(x))=x$

$\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x$

So, they are inverse of each other.

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3 years ago

I really need help fast

xenn [34]

Answer:

Tom jogged farther.

Step-by-step explanation:

2 1/2 + 3 1/8 = 5 5/8 5 6/8 would be equalt to 5 3/4 but since it isn't 5 3/4 is farther.

Tom jogged 1/8 farther.

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3 years ago

Evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4

Monica [59]

Answer:

Step-by-step explanation:

g(5) = 5^2 - 4 = 25 - 4 = 21

f(21) = 5(21) + 2 = 105 + 2 = 107

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3 years ago

Pls answer this 5 and _____ are reciprocal numbers.

Jet001 [13]

Answer:

1/5

Step-by-step explanation:

Reciprocal just means flipped you can put any whole number over 1 if it helps to see that

5/1 = 5

Since reciprocal is asking you to flip 5/1 meaning numerator becomes denominator and vice versa you end up with 1/5 being the reciprocal of 5

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3 years ago

giá tiền cước của một hãng taxi được tính như sau :giá mở đến 1km đầu là 12000 đồng ; 10500 đồng/km cho 20 km tiếp theo và 99000

dolphi86 [110]

Answer:

Ông sáu sẽ mất 4281000 đồng

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3 years ago