Arithmetic, geometric, or neither?
1 answer:
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Answer:
The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)
Step-by-step explanation:
Given that the time Louis spends commuting to the gym can be represented by two expressions:
Time to gym:
Time from gym:
To find the expression that represents the total time Louis spends commuting to and from the gym each day :
The total time Louis spends commuting to and from the gym each day is equal to the sum of the Time to gym and Time from gym
Total time Louis spends commuting to and from the gym each day=2x-6y+6x-10y
=8x-16y
=8(x-2y)
Therefore Total time Louis spends commuting to and from the gym each day is 8(x-2y)
The expression that represents the total time Louis spends commuting to and from the gym each day is 8(x-2y)
Answer:
The equation of the axis of symmetry is x =
The coordinates of the vertex are ( ,
) ⇒ 2nd answer
Step-by-step explanation:
The quadratic function y = ax² + bx + c is represented graphically by a parabola which has a minimum/maximum vertex (h , k), where
- h =
and k is value y at x = h
- The axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = h
- The minimum/maximum value of the function is (h , k)
∵ y = 4x² + 5x - 1
∵ The form of the quadratic function is y = ax² + bx + c
∴ a = 4 , b = 5 , c = -1
∵ The coordinates of the vertex points are (h , k)
∵ h =
∴ h =
- To find k substitute x in the function by
∵ k = 4 ( )² + 5(
) - 1
∴ k = 4 ( ) + (
) - 1
∴ k = -
- 1
∴ k =
∴ The coordinates of the vertex are ( ,
)
∵ The equation of the axis of symmetry is x = h
∵ h =
∴ The equation of the axis of symmetry is x =