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2 years ago

What is the value of the rational expression below when x is equal to 4? x+20/x+4

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

7 0

Answer:

Step-by-step explanation:

All we need to do here is plug in the number 4 for the variable x. Wherever there's an x, kidnap it and replace it with a 4!

$\frac{x + 20}{x + 4}$

x = 4

$\frac{4 + 20}{4 + 4}$

Do the addition.

4 + 20 = 24

4 + 4 = 8

$\frac{24}{8}$

We can simplify this! What is 24 divided by 8?

24/8 = 3

The answer is 3!

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2 years ago

Find thhe remainder when 7^203 is divided by 4

Aleksandr [31]

Using the square-and-multiply approach, we have

$7^{203}=7\times(7^{101})^2$
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and so, using the property that, if $a_1\equiv b_1\mod n$ and $a_2\equiv b_2\mod n$ , then $a_1a_2\equiv b_1b_2\mod n$ , we get

$7\equiv3\mod4$
$7^2\equiv9\equiv1\mod4$
$7^3\equiv7\times1\equiv7\equiv3\mod4$
$7^6\equiv9\equiv1\mod4$
$7^{12}\equiv1\mod4$
$7^{25}\equiv7\times1\equiv7\equiv3\mod4$
$7^{50}\equiv9\equiv1\mod4$
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2 years ago

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Step-by-step explanation:

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2 years ago