F (x) = -x2 + 8x - 11 h(x) = -x-7 find f (9) + (-14)
1 answer:
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Answer:
(x, y) = (-1, -3) or (4, 12)
Step-by-step explanation:
A graphing calculator can show the solutions to this system.
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You can equate expressions for y and solve for x.
3x = x^2 -4
x^2 -3x = 4 . . . . add 4-3x
x^2 -3x +2.25 = 6.25 . . . . complete the square by adding (-3/2)^2 where -3 is the coefficient of x.
(x -1.5)^2 = 2.5^2 . . . . . . rewrite as squares
x -1.5 = ±2.5 . . . . . . . . . . take the square root
x = 1.5 ± 2.5 = -1, +4
y = 3x = -3, +12, respectively
Solutions are ...
(x, y) = (-1, -3) . . . . and . . . . (4, 12)
Answer:
The probability is
Step-by-step explanation:
From the question we are told
The population proportion is
The sample size is
The number of graduate who had job is k = 209
Generally given that the sample size is large enough (i.e n > 30) then the mean of this sampling distribution is
Generally the standard deviation of this sampling distribution is
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Generally the sample proportion is mathematically represented as
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Generally probability of obtaining a sample proportion as low as or lower than this, if the university’s claim is true, is mathematically represented as
From the z table the area under the normal curve to the left corresponding to -3.022 is
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