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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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Which numbers are greater than 3x10^-7
USPshnik [31]
3x10^-7 = 3 / (10^7) = 3 / 10000000 = 0.0000003;
A number greater then 0.0000003 is 1.
6 0
3 years ago
8. The trapezoids are similar. The area of the smaller trapezoid is 131 m2. Find the area of the larger trapezoid to the nearest
kolbaska11 [484]

Answer:

3,726\ m^{2}

Step-by-step explanation:

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor

Let

z----> the scale factor

x----> corresponding side of the larger trapezoid

y----> corresponding side of the smaller trapezoid

z=\frac{x}{y}

we have

x=64\ m

y=12\ m

substitute

z=\frac{64}{12}

step 2

Find the area of the larger trapezoid

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z----> the scale factor

x----> area of the larger trapezoid

y----> area of the smaller trapezoid

z^{2}=\frac{x}{y}

we have

z=\frac{64}{12}

y=131\ m^{2}

substitute

(\frac{64}{12})^{2}=\frac{x}{131}

x=(\frac{4,096}{144})(131)

x=3,726\ m^{2}

5 0
3 years ago
Ivana printer prints 40 pages in 5 minutes.How many pages will the printer print in 8 minutes
Lana71 [14]

64 pages

divide 40 by 5 for pages printed in 1 minute then multiply this by 8

\frac{40}{5} × 8 = 8 × 8 = 64 pages


6 0
3 years ago
Read 2 more answers
Find the Y intercept of the graph
zhenek [66]

Answer:

6

Step-by-step explanation:

The intercept would be 6 because that's the point on the Y line or the line going vertically.    

8 0
2 years ago
Can you solve for y plz
vredina [299]
Solve the top equation for x and then substitute that into the bottom equation and solve for y:
Top equation: subtract 4 from both sides to get x = y - 4
Substitution and simplify:
y = 4(y - 4) - 10
y = 4y - 16 - 10
y = 4y - 26
-3y = -26
y = 26/3 or 8 1/3 or 8.333 (those are all the same but in different forms)
8 0
3 years ago
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