Step-by-step explanation:
For a parabola y = ax² + bx + c, the vertex occurs at x = -b / (2a).
For f(x), a = -2, b = 0, and c = 9. So the vertex is at:
x = -0 / (2×-2)
x = 0
At x=0:
f(0) = -2(0)² + 9
f(0) = 9
The maximum of g(x) is at 11.
So g(x) has a greater maximum value than f(x).
Answer:
D. 81
Step-by-step explanation:
I think the attached photo supports for your question to be answered
Here is my answer:
Number of days: 30
Mean of the data set = (68 + 70*2 +74*2 +76*4 +78 +80*5 + 82*3 +84*5 + 88 +88*3 + 92*3) /30 = 81
5(2x+3) by adding them you get this equation.
tan = opp/adj
x = 13(tan 45)
x = 13
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a² + b² = c²
13² + 13² = 338²
square root of 338 is not a rational number so turn into mixed radical.
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Answer:
i) is irrational and ii) is rational
Step-by-step explanation:
i) does not keep a consistent pattern. If it was .11011011011.... it would be a rational number, but since it keeps changing its pattern it would be considered irrational. ii) is rational because it has a consistent pattern that doesn't change.