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3 years ago

Please help me with this please

Mathematics

2 answers:

stiv31 [10]3 years ago

7 0

The graph is a non-linear function

ICE Princess25 [194]3 years ago

4 0

This is a nonlinear function
it is nonlinear because well it’s not a line but it is still a function. a function is a graph that does not have overlapping y values, this graph follows the rule therefore it is a function

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The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?

lorasvet [3.4K]

The domain of the function can be obtained by pluging the values of the range into f(x), i.e domain = {k^2 + 2k + 1 = 25, k^2 + 2k + 1 = 64} = {k^2 + 2k - 24 = 0, k^2 + 2k - 63 = 0}. Solving the two quadratic equations, we have that the range is {-9, -6, 4, 7}.I hope that my answer is helpful! Let me know if you need something more :)

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3 years ago

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.

Write a function g that determines the thickness of the folded paper (in mm) in terms of the number folds made, n. (Notice that g(0) 0.05,)

$g(n )= (05)2^n$

The function g has an inverse. The function g⁻¹ determines the number of folds needed to give the folded paper a thickness of t mm. Write a function formula for g⁻¹).

SOLUTION:

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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4 years ago

Predict what will happen to the graph of the function f(x) = xã, if the function

Crank

The answer is D
Hope this helps!
If you want a detailed step by step ask me

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4 years ago

Which of these is a solution to the equation 2( x – 5) = 9 – 3 x + 6 + 8 + 3 x + 7? x = 80 x = 20 x = 40 x = 10

bija089 [108]

The solution to the equation is x = 20.

Step-by-step explanation:

The equation is 2( x – 5) = 9 – 3 x + 6 + 8 + 3 x + 7

2x - 10 = 30

2x = 30+10

2x = 40

x = 40/2

x = 20

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3 years ago

Express this amount in dozens. (Use decimal form.) 7.5 cupcakes ...?

kompoz [17]

0.625 dozen

1/12 x 7.5
= 0.625

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3 years ago