Part (a)
Independent variable = age
Dependent variable = height
"depends on age" indicates that age is independent.
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Part (b)
Independent variable = amount of sleep
Dependent variable = mood
The key word is "determines". The stuff before this word is the independent variable which affects the dependent variable.
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Part (c)
Independent variable = time water has been running
dependent variable = amount of water in the tub
Time is usually the independent variable
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Part (d)
Independent variable = speed
dependent variable = distance from home
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Part (e)
Independent variable = amount of homework done
dependent variable = speed
This seems like an odd pairing of homework and speed. Could there be a typo? I noticed that part (f) is very similar
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Part (f)
Independent variable = amount of hw that is assigned
dependent variable = amount of homework done
Like with part (a), the stuff before "depends" is the dependent variable
4x+y=16 multiply both sides by -3 and will get
2x+3y=-2
-12x -3y = -48
2x +3y = -2
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-10x 0 = -50
-10x = -50
x = -50/(-10) = 5
x = 5
4x+y=16
4*5+y=16
20+y=16
y = 16-20
y = -4
x = 5
y = - 4
hope helped
Remember.
positive number x positive number = positive number
positive number x negative number = negative number
negative number x positive number = negative number
negative number x negative number = positive number
So if both numbers have the same sign, either both positive or both negative, then the product will be positive.
Yes, stop signs are octagon shaped. So, true.
The coefficient in (4x-2) is the -2
