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Agata [3.3K]
3 years ago
7

This graph shows transformations between f(x) = 10x and g(x) = a · 10x. Identify the following functions. p(x) = 4 · 10x q(x) =

–4 · 10x

Mathematics
2 answers:
LiRa [457]3 years ago
6 0

Answer:

a d b c

Step-by-step explanation:

wel3 years ago
4 0

Anwers:

1. line A

2. line D

3. line B

4. line C

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

Given the original function:

f(x) = 10x

and g(x) = a · 10x is the general from of all transformed functions from the above original function.

  • p(x) = 4 · 10x

The graph of this function is stretched vertically => line A

  • q(x) = –4 · 10x

The graph of this function is stretched vertically and is reflected through the x-asix => line D.

  • r(x) = (1/4) x 10x

The graph of this function is compressed vertically => line B

  • s(x) = (-1/4) x 10x

The graph of this function is compressed vertically and is reflected through the x-asix => line C

Hope it will find you well.

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Answer:

V=-1

Step-by-step explanation:

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3 years ago
What is the equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10?
dybincka [34]

What you should do first is simplify the equation into the y = mx + b format. Move 2x to the other side. Know that in doing this, 2x must become the opposite of what it currently is (-2) in order for the equation to remain true. We also have to take away the '10' because the line is parallel, not exactly the same, which means a different y intercept. This looks like:

5y = -2x + b

Next, simplify y to make things easier. This can be done by dividing both sides by 5, like so:

\frac{5}{5}y = -\frac{2}{5}x + b

What you should also know is that if a line is parallel to another, then this means the slope has to be the same because they both have the same changes in rise and run. With this in mind, simply plug in the x and y values.

(-4) = -\frac{2}{5} * (5) + b

--> -4 = \frac{10}{5} + b

---> -4 = -2 + b

Add 2 to both sides to isolate b.

-4 + 2 = b

Which means that -2 = b.

Now that we have the y intercept, we can write the equation of the line, which is y = -\frac{2}{5}x - 2.

Hope this was helpful.

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jill is thinking of two numbers. they have the sum of 27 and a difference of 7. what are the two numbers?
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Answer:

  • Cost of fish = Php. 60, amount of fish = x kg
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a) <u>Required inequality (not a system as only one condition is given):</u>

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<u>Simplified:</u>

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  • <em>The graph is attached</em>

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