Solve the following system of equations. Express your answer as an ordered pair in the format(a,b), with no spaces between the n
1 answer:
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Answer:
Ryan's maximum time to complete a puzzle is 5 hours
Ryan's minimum time to complete a puzzle is 1 hour
Step-by-step explanation:
<u><em>The complete question is</em></u>
On average, Ryan can finish a puzzle in 3 hours but, depending on the difficulty of the puzzle, his time can vary from the average by 2 hours.
Which absolute value equation can be used to calculate Ryan's maximum and minimum time to complete a puzzle?
Let x represent the maximum and minimum time
we know that
The absolute value of the difference between x and the average must be equal to 2
so
Solve the absolute value
First case (positive case)
Second case (negative case)
Multiply by -1 both sides
therefore
Ryan's maximum time to complete a puzzle is 5 hours
Ryan's minimum time to complete a puzzle is 1 hour
Hi there! Marcie made a mistake in the last step of the solving process.
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!