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Levart [38]
3 years ago
7

HELP ASAPAND IF YOU COULD EXPLAIN, THATD BE GREAT​

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer:

-41

Step-by-step explanation:

the problem is basically saying that we need to first substitute 5 in for x in the f(x) function first.

then we need to take that answer that we got and substitute it for x in the g(x) function.

i will do this step by step for you

start with the f(x) function

f(x) = 4x + 3

substitute 5 in for x

f(x) = 4(5) + 3

solve

f(x) = 20 + 3

f(x) = 23

now we use our answer from the f(x) function we just solved, and we put it into the g(x) function.

basically you are going to now substitute 23 for x in the g(x) function.

i will also do this step by step for you.

take the g(x) function

g(x) = -2x + 5

substitute 23 for x

g(x) = -2(23) + 5

solve

g(x) = -46 + 5

g(x) = -41

<u>so now your overall answer is -41.</u>

<u>hope this helped!!!! good luck <3</u>

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Part (1)

n is some positive integer. Let's say for now that n is even. So n = 2k, for some integer k

This means n-1 = 2k-1 is odd since subtracting 1 from an even number leads to an odd number.

Now multiply n with n-1 to get

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Now multiply n and n-1

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Part (2)

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Another way to see how 2n+1 is odd is to divide 2n+1 over 2 and you'll find that we get (2n+1)/2 = 2n/2+1/2 = n+0.5

The 0.5 at the end is not an integer, so there's no way that (2n+1)/2 is an integer; therefore 2n+1 is odd.

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