Svetlana's hair is 4 cm long. Her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long. Write an ineq
2 answers:
Answer: The required inequality is
Step-by-step explanation: Given that Svetlana's hair is 4 cm long and her hair grows 1.5 cm per month. Svetlana wants her hair to be less than 16 cm long.
We are to write an equality to determine the number of months, m, Svetlana can allow her hair to grow so that it is less than 16 cm long.
The total length of her hairs in months 'm' is given by
Since Svetlana can allow her hair to grow so that it is less than 16 cm long, so we must write
Thus, the required inequality is
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Answer:
They are represented by downward parabola
They have the same equations of line of symmetry
Their vertices have same x-coordinates but different y-coordinates
They have the same domains
They have different ranges
They have different maximum values at same x values
The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up
Step-by-step explanation:
y = -2x² is a quadratic equation which represents by a parabola
From the red graph:
The graph of y = -2x² is represented by downward parabola
It has a maximum vertex (0 , 0)
The line of symmetry at x = 0
Its maximum value = 0 at x = 0
Its domain is {x: x ∈ R}
Its range is {y: y ≤ 0}
From the blue graph:
The graph of y = -2x² + 4 is represented by down ward parabola
It has a maximum vertex (0 , 4)
The line of symmetry at x = 0
Its maximum value = 4 at x = 0
Its domain is {x: x ∈ R}
Its range is {y: y ≤ 4}
From the two graphs
They are represented by downward parabola
They have the same equations of line of symmetry
Their vertices have same x-coordinates but different y-coordinates
They have same domains
They have different ranges
They have different maximum values at same x values
The graph of y = -2x² + 4 is the image of the graph y = -2x² after translation 4 units up
