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murzikaleks [220]
3 years ago
15

Given that(4,6) is on the graph of f(x) find the corresponding point for the function f(-4x)

Mathematics
1 answer:
Len [333]3 years ago
5 0

Answer:

(-1,6)

Step-by-step explanation:

Given that(4,6) is on the graph of f(x)

f(-4x) means x is multiplied by -4

When x is multiplied by -1  then there will be reflection over y axis

We multiply every point by -1. so multiply the x values of the given point (4,6) by -1

New point is (-4,6)

If any number is multiplied with x then there will be a horizontal compression or stretch.

4 is multiplied with x , so there will be horizontal compression because 4 is greater than 1

To get new point, we divide the x values by 4 for compression

we already got (-4,6) after multiplying by -1

Now we divide the x coordinate -4 by 4 = -1

So corresponding point for the function f(-4x) is (-1,6)


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Answer:

Her aunt buy <u>75</u> trucks.

Step-by-step explanation:

Given:

Henry had 20 convertibles and 5 trucks in his miniature car collection. After Henry's aunt bought him some more miniature trucks, Henry noticed that a fifth of his collection were convertible.

Now, to find the trucks her aunt buy.

Let the total collection of Henry be x.

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<em>Number of convertibles Henry had in his collection = 20.</em>

As, Henry's \frac{1}{5} collection were convertible.

Now, to get the total number of collection:

\frac{1}{5}\ of\ x=20.

\frac{1}{5} \times x=20

<em>Multiplying both sides by 20 we get:</em>

x=100.

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So, the total number of trucks he had in his collection is:

<u><em>Total collection of Henry - number of convertibles Henry had in his collection.</em></u>

=100-20

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<em>Hence, Henry had total 80 trucks in his collection.</em>

<em>And 5 trucks he had already in his miniature car collection.</em>

Now, to get the number of trucks her aunt buy we subtract trucks he had already in his miniature car collection from the total number of trucks in Henry's collection:

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