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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Final answer:
Since absolute values determine the distance between the number and the value whether the value is positive or negative. As distance is always positive.
Thus, |a| is always nonnegative, even though |a|=-a for negative values of a.
Step-by-step explanation:
Step 1
It is said that |a| is always nonnegative even though even though |a|=-a for negative values of a.
Step 2
This is because by the definition of an absolute value, any real number inside an absolute value symbol || will always be positive.
If there are 7 bananas out of 14 pieces of fruit the probability of selecting a banana is 7/14. 7/14 can be reduced to 1/2. 7 divided by 7 is 1, and 14 divided by 7 is 2 making the answer 1/2!
We are given: Degrees Celsius and degrees Fahrenheit are related by formula
To find : Solve formula for F in terms of C.
Solution: We have ,
First we need to get rid 9 from right denominator.
In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.
9C = 5 (F-32).
Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.
9C = 5F - 160.
Adding 160 on both sides,
9C+160 = 5F - 160+160.
9C+160 =5F
Dividing both sides by 5, we get
(9C+160)/5 =5F/5.
Splitting fraction 1/5, we get
.
