Answer:
g(x) has the greater max: 11 versus 6
Step-by-step explanation:
One can readily discern the max value of the graph; it is 6 and occurs at x =1.
Regarding the function g(x) = (-1/2)x^2 + 4x + 3: Find the vertex, which also represents the max value:
Here the coefficients are a = -1/2, b = 4 and c = 3, so that the axis of symmetry is:
x = -b/(2a), which here is x = -4 / ( 2·[-1/2] ) = -4 / (-1) = 4
At x = 4, the function (y) value is
g(4) = (-1/2)(4)² + 4(4) + 3, or
g(4) = -8 + 16 + 3, or 11
This is greater than the max value of the graphed function.
Answer:
of fish in this aquarium are guppies.
Step-by-step explanation:
Let x be the number of guppies and y be the number of swordtails in the aquarium,
According to the question,
By cross multiplication,
Thus, the ratio of guppies and swordtail fishes is 8 : 9
Let guppies = 8x, swordtail = 9x
Where, x is any number,
Since, the aquarium contains only two kinds of fish, guppies and swordtails,
So, the total fishes = 8x + 9x = 17x
Hence, the fraction of fish in the aquarium are guppies = 
Answer:
2/3
Step-by-step explanation:
Answer:
A,C,D
Step-by-step explanation:
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