The label on the car's antifreeze container claims to protect the car between −40°C and 125°C. To convert Celsius temperature to Fahrenheit temperature, the formula is C = 5 over 9 (F − 32). Write and solve the inequality to determine the Fahrenheit temperature range at which this antifreeze protects the car.−40 > 5 over 9 (F − 32) > 125; −40 > F > 257
−40 < 5 over 9 (F − 32) < 125; −40 < F < 257
−40 < 5 over 9 (F − 32); −40 < F
5 over 9 (F − 32) < 125; F < 257
Answers
Between -40°C and 125°C
°C = 5/9 * (°F-32)
°C ÷ 5/9 = °F - 32
°C * 9/5 + 32 = °F
°F = -40°C * 9/5 + 32 = -360/5 + 32 = -72 + 32 = -40°F
°F = 125°C * 9/5 + 32 = 1125/5 + 32 = 225 + 32 = 257°F
−40 < 5 over 9 (F − 32) < 125; −40 < F < 257
Answer; −40 < 5 over 9 (F − 32) < 125; −40 < F < 257
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1/2
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The first thing you want to do is get y by itself. Subtract 7 from both sides:
2x-4y=-7
and then subtract 2x ( the goal is to make your equation look like this: y=mx+b):
-4y= -2x-7
Now, y is mostly isolated, all you have to do now is divide both sides by -4 in order for y to be completely by itself:
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Simplify completely:
y=1/2x+7/4
Now you have your equation you can easily read it as y=mx+b.
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