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IceJOKER [234]
3 years ago
11

The total cost after tax to repair Kimber's cracked phone screen is represented by 0.04(30h) + 30h, where h represents the numbe

r of hours it takes to repair kimber's phone. what part of the expression represents the amount of tax she must pay? EXPLAIN YOUR ANSWER IN COMPLETE SENTENCES.
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
3 0

we are given

The total cost after tax to repair Kimber's cracked phone screen is represented by 0.04(30h) + 30h

where

h represents the number of hours it takes to repair kimber's phone

so,

C=0.04(30h)+30h

we know that

tax will always be some percentage of the entire cost

Here , we have 0.04(30h) ...which means 0.04 of 30h

and 30h is already given

so, 0.04(30h) is 4% of 30h

so, this term must be tax

the expression represents the amount of tax she must pay is 0.04(30h).......Answer

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y > 3x + 10

y < -3x - 1

<h3> Part A:</h3>

You'd graph the given systems of linear inequalities the same way as you graph the linear equations.  

To graph y > 3x + 10, plot the y-intercept, (0, 10), then use the slope, m = 3 (rise 3, run 1), to plot other points on the graph.  Use a dashed line (because of the ">" symbol).  

Follow the same steps for the other linear inequality. Plot the y-intercept, (0, -1), then use the slope, m = -3 (down 3, run 1) to plot other points. Use a dashed line (because of the "<" symbol).  

Pick a test point on either side of the boundary line and plug it into the original problem.  This will help determine which side of the boundary line is the solution.  Plug in a test point that is not on the boundary line.

Use the point of origin, (0, 0) as the test point. Plug in these values into the given systems of linear inequalities to see whether it will provide a true statement.  

y > 3x + 10

0 > 3(0) + 10

0 > 0 + 10

0 > 10 (False statement).  

y < -3x - 1

0 < -3(0) - 1

0 < 0 - 1

0 < -1 (false statement).  

Since the point of origin provided a false statement to the given systems of linear inequalities, you must shade the half-plane region where it doesn't contain the test point.  

<h3>Part B: </h3>

You'll do the same process as what I've done for the test point. Plug in the values of (8, 10) into the given systems of linear inequalities. If it provides a false statement, then it means that it is not a solution to the system.  

y > 3x + 10

10 > 3(8) + 10

10 > 24 + 10

10 > 34 (False statement).  

y < -3x - 1  

10 < -3(8) - 1

10 < -24 - 1

10 < -25 (false statement).  

Therefore, (8, 10) is not a solution to the system.    

8 0
2 years ago
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