• William Shakespeare died on his birthday at
2 answers:
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<em>Solve: </em>
Start by isolating the x-variable as much as you can:
Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.
Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.
In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.
Start by isolating the x-variable as much as you can:
Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.
Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.
In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.
<em>Missing Options:</em>
<em>A. Erica's graph is incorrect, because the slope should be greater than 9.5. </em>
<em>B. Erica's graph is incorrect, because the y-intercept should be greater than 9.5. </em>
<em>C. Erica's graph is correct, because the slope should be less than 9.5. </em>
<em>D. Erica's graph is correct, because the y–intercept should be less than 9.5.</em>
<em></em>
Answer:
A. Erica's graph is incorrect, because the slope should be greater than 9.5.
Step-by-step explanation:
Given
Clive:
Erica:
--- slope
--- y intercept
First, we need to determine the equation of Erica's earnings using
Where
m = slope = 9
b = y intercept = 0
So, the equation becomes
This implies that Erica earns 9 dollars per hour
For Clive:
This means that Clive earns 9.5 dollars per hour
From the question, we understand that Erica earns more than Clive.
<em>So, we can conclude that Erica's graph is incorrect because the slope must be greater than 9.5.</em>
<em>When the slope is greater than 9.5, then she earns more than Clive.</em>