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3 years ago

Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| > 1

Mathematics

1 answer:

Lisa [10]3 years ago

7 0

Answer:

See attachment

Step-by-step explanation:

The given inequality is $|x|>1$

By the definition of the absolute value function, we obtain the compound inequality.

$-x>1\:or\:x>1$

When we simplify we get:

$x1$

The graph for the solution set is shown in the attachment

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2 years ago

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jeka57 [31]

Given:

The given expression is $2^{x+5}=13^{2 x}$

We need to determine the value of x using either base - 10 or base - e logarithms.

Value of x:

Let us determine the value of x using the base - e logarithms.

Applying the log rule that if $f(x)=g(x)$ then $\ln (f(x))=\ln (g(x))$

Thus, we get;

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Applying the log rule, $\log _{a}\left(x^{b}\right)=b \cdot \log _{a}(x)$ , we get;

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Expanding, we get;

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Subtracting both sides by $5 \ln (2)$ , we get;

$x \ln (2)=2 x \ln (13)-5 \ln (2)$

Subtracting both sides by $2 x \ln (13)$ , we get;

$x \ln (2)-2 x \ln (13)=-5 \ln (2)$

Taking out the common term x, we have;

$x( \ln (2)-2 \ln (13))=-5 \ln (2)$

$x=\frac{-5 \ln (2)}{\ln (2)-2 \ln (13)}$

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3 years ago

Lin needs to save up $20 for a new game. How much money does she have if she has saved 25% of her goal?

ira [324]

The answer is 5$
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2 years ago

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