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Natali5045456 [20]
3 years ago
8

- 8y + 9x = -5 8y + 7x = -75

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0

Answer:

x = -5 , y = -5

Step-by-step explanation:

- 8y + 9x = -5

8y + 7x = -75

__________

0 + 16x = - 80

x = -80 / 16

x = -5

- 8y + 9x = -5

-8y + 9(-5) = -5

-8y - 45 = -5

-8y = -5 + 45

-8y = 40

y = 40/-8

y = -5

hope it helps!

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If log2 5 = k, determine an expression for log32 5 in terms of k.
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Answer:

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Step-by-step explanation:

Let's start by using change of base property:

log_b(x)=\frac{log_a(x)}{log_a(b)}

So, for log_2(5)

log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)

Now, using change of base for log_3_2(5)

log_3_2(5)=\frac{log(5)}{log(32)}

You can express 32 as:

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Using reduction of power property:

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Therefore:

log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)

As you can see the only difference between (1) and (2) is the coefficient \frac{1}{5} :

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\frac{log(5)}{log(2)} =k\\

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Which mapping represents a function?
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The answer to the question is B
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