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3 years ago

Input output f(x)= -5(x+7)

Mathematics

1 answer:

KengaRu [80]3 years ago

5 0

Answer:

x= -7

Step-by-step explanation:

f(x) = -5(x+7)

0 = -5x -35

5x = -35

equals to x= -7

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

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

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:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

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 $\frac{1}{5}$ :

So:

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

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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3 years ago

23q−34) and (−16q−r)

faltersainse [42]

Answer:

r = 7 q - 34

Step-by-step explanation:

Solve for r:

-34 + 7 q - r = 0

Subtract 7 q - 34 from both sides:

-r = 34 - 7 q

Multiply both sides by -1:

Answer: r = 7 q - 34

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4 years ago

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Answer:

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If A (-3, 4) is one endpoint of a segment and B(-4,7) is the midpoint of the segment, find the other endpoint.

Nutka1998 [239]

Answer:

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3 years ago