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IRINA_888 [86]
3 years ago
5

Find an input that yield an output of -1 rule y=-2x+33

Mathematics
1 answer:
djyliett [7]3 years ago
3 0

Input (x-value)

Output (y-value)

You need to find the x-value that produces a y-value of -1. Since you know:

y = -1       Use the rule, and substitute/plug this into the equation

y = -2x + 33       Plug in -1 for "y" in the equation since y = -1

-1 = -2x + 33        Subtract 33 on both sides

-1 - 33 = -2x + 33 - 33

-34 = -2x      Divide -2 on both sides to get "x" by itself

\frac{-34}{-2}=\frac{-2x}{-2}

17 = x

An input of 17 yields an output of -1

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So </span>1284673 <span>has a sum of digits 31 whose sum of digits is 4, so this isn't a multiple of nine.  It will give a remainder of 4 when divided by 9; let's check.

</span>1284673 = 142741 \times 9 + 4 \quad\checkmark<span>

</span>Let's focus on remainders when we divide by nine. The digit summing works because 1 and 10 have the same remainder when divided by nine, namely 1.  So we see multiplying by 10 doesn't change the remainder.  So 100 \times a + 10 \times b + c has the same remainder as a+b+c.

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Answer:

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Step-by-step explanation:

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These functions are ...

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The Lagrangian is ...

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