Answer:
B
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - 
y = 3x² + 6x + 1 ← is in standard form
with a = 3 and b = 6 , then
= - 
= - 1
Substitute x = - 1 into y for corresponding y- coordinate
y = 3(- 1)² + 6(- 1) + 1
= 3(1) - 6 + 1
= 3 - 5
= - 2
vertex = (- 1, - 2 )
Answer:
Step-by-step explanation:
Divide both sides by 2
x - 1 = 5
Add 1 to both sides
x - 1 + 1 = 5 + 1
Combine
x = 6
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
C) 49.30
If you need me to explain how I got the answer let me know (:
