<span>
Let's analyze Hannah's work, step-by-step, to see if she made any mistakes. </span>In Step 1, Hannah wrote
<span> as the sum of two separate derivatives </span>
<span>using the </span><span>sum rule.
</span>
This step is perfectly fine. In Step 2,
was kept as it is, and
was rewritten as
using the constant rule.Indeed, according to the constant rule, the derivative of a constant number is equal to zero.
This step is perfectly fine. In Step 3,
was rewritten as
supposedly using the constant multiple rule.
The problem is that according to the constant multiple rule,
should be rewritten as
and not as
.
<span>
Therefore, Hannah made a mistake in this step.</span>
Answer:
I don't know sorry for no answer
The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.
<h3>How to Interpret the Slope of a Function?</h3>
The slope of any function is the unit rate or average rate of change of the given function for that situation.
Given the function, E(x) = 130 + 28x, where:
E(x) is the amount an electrician charges per job
130 is the flat rate service which is the starting value or y-intercept
28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.
Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.
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The value of b is -16 and the value of ac is 60 after comparing with the standard equation.
<h3>What is a quadratic equation?</h3>
Any equation of the form 
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic function:
= 3x² - 16x + 20
On comparing with standard function:
b = -16
a = 3
c = 20
ac = 3(20) = 60
Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.
Learn more about quadratic equations here:
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2+(-24x^2-24x)÷(12x^3-24x)
