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Galina-37 [17]
3 years ago
15

Write any equation in slope intercept form that has a slope of3/2 and passes through (2,7)

Mathematics
1 answer:
Paha777 [63]3 years ago
7 0

slope intercept form - (y = mx + b)

slope (m) is (3/2) So, y = 3/2x + b

To find b you plug in the x and y value (2,7)
7 = 3/2 × 2 + b

Isolate x on one side by finding the value of 3/2 × 2 which is 3.

Subtract 3 from both sides which leaves you with 4 = b, so the value of b is 4

Now the slope intercept form is (y = 3/2x + 4)
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with x = -4 => HI = - 4 + 12 = 8

Step-by-step explanation:

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The function g has an inverse. The function g − 1 determines the number of folds needed to give the folded paper a thickness of
Amanda [17]

Answer:

\mathbf{g^{-1} (t) = log _2  \ 20 \ t}

Step-by-step explanation:

Here is the full question

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times. We'll assume we can make "perfect folds," where each fold makes the folded paper exactly twice as thick as before - and we can make as many folds as we want.

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<u>SOLUTION:</u>

If we represent g(n) with  t;

Then

\mathbf{t = (0.05)2^n} \\ \\ \mathbf{\dfrac{t}{0.05} = 2^n} \\ \\ \mathbf{\dfrac {100 \ t }{ 5} = 2^n} \\  \\ \mathbf{20 t = 2^n}

Taking logarithm of both sides; we have :

\mathbf{log (20 t) = n log 2}    \ \ \    \mathbf{(since  \ ,  log  \ a^b = b \ log \ a) }  \\ \\ \mathbf{n =  \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) =  \dfrac{log \ 20 t }{log \ 2 }} \\ \\ \mathbf{g^{-1} (t) = log _2  \ 20 \ t}

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3 years ago
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Nimfa-mama [501]

Answer:

The answer is C

Step-by-step explanation:


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guapka [62]

Answer:

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Step-by-step explanation:

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