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dmitriy555 [2]
3 years ago
13

Please help. I don’t understand this math problem . I’ll mark you as brainliest if correct

Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:

  f(x)=3\log_4{(2-x)}

Step-by-step explanation:

You know that a log function has a vertical asymptote at x=0 and an x-intercept at (1, 0). It trends upward to the right.

The given graph has a vertical asymptote at x=2, indicating the transformation involves a right-shift of 2 units. It trends upward to the left of the vertical asymptote, suggesting a reflection is involved. At 1 unit left of the vertical asymptote, the graph crosses y=0, so there is no horizontal scaling involved.

At this point, you can write a version of the function f(x) that incorporates the reflection and translation:

  f(x) = k·log(-(x -2)) = k·log(2-x)

To find the vertical scale factor k, we make use of the additional point that is given.

  f(-2) = 3

  k·log(2 -(-2)) = 3 . . . . substitute into our f(x) so far

  k = 3/log(4) . . . . . . . . solve for k

Now, the function can be written as ...

  f(x)=\dfrac{3}{\log{4}}\log{(2-x)}=3\dfrac{\log{(2-x)}}{\log{4}}

Using the "change of base" formula for logarithms we can compact this to ...

  \boxed{f(x)=3\log_4{(2-x)}}

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Can you write the equation for a circle if the given point does not lie on the circle? Explain .
Pachacha [2.7K]

Answer:

No

Step-by-step explanation:

The equation of a circle with center (a,b) and radius r is given as:

{(x - a)}^{2}  +  {(y - b)}^{2}  =  {r}^{2}

If a given point (x,y) does not lie on this circle, it will not satisfy its equation.

This means the distance from the point to the center is not equal to the radius.

It is either less or greater than the radius.

Hence you cannot write the equation of the circle.

3 0
2 years ago
A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and
Lunna [17]

Answer:

C=27inch\ by\ 27inch

Step-by-step explanation:

Squares h=4inch

Volume v=1444in^3

Generally the equation for Volume of box is mathematically given by

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 1444=l^2*4

 l^2=361

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Since

Length of cardboard is

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Therefore

Dimensions of the piece of cardboard is

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7 0
2 years ago
Which number line model of the sum of 8 + -12 correctly ​
hoa [83]

Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

4 0
2 years ago
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Write 935.97 in expanded form
Korolek [52]
<span> 935.97 = 900 + 30 + 5 + 0.9 + 0.07

hope it helps</span>
7 0
3 years ago
F K = {(x, y) | x - y = 5}, is Set K a function?
muminat

Answer:

Yes, because the linear function  x - y = 5 is a function

Step-by-step explanation:

x - y = 5  can look like   y = x - 5  with slope 1 and y-intercept -5

so this is a function  which makes set K a function.

3 0
3 years ago
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