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mina [271]
3 years ago
5

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the y-intercept, x-intercepts, and the shape of the grap

h.

Mathematics
1 answer:
olchik [2.2K]3 years ago
6 0
Hello,

f(x)=x^3-11x²+36x-36
y-intercept
x=0==>y=-36
x-intercepts
f(2)=2^3-11*4+72-36=8-44+36=0

f(x)=(x-2)(x²-9x+18)
g(x)=x²-9x+18
g(3)=3²-9*3+18=0
g(x)=(x-3)(x-6)

f(x)=(x-2)(x-3)(x-6)



f'(x)=3x²-22x+36=(x-(11+√13)/3)(x-(11-√13)/3)
x≈4,8685... or x≈9,7981






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A certain forest covers an area of 2900 km. Suppose that each year this area decreases by 8.5%. What will the area be after 8 ye
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3 years ago
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Answer:

The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 141, \sigma = 7

Fastest 6%

At most in the 6th percentile, that is, at most a value of X when Z has a pvalue of 0.07. So we have to find X when Z = -1.555.

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-1.555 = \frac{X - 141}{7}

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The swimmer must complete the 200-meter backstroke in no more than 130 seconds.

3 0
3 years ago
If AB = 15, BC = 12, and CA = 8, list the angles of abc in order from smallest to largest.
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<span>angles of abc in order from smallest to largest.
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Hope it helps

p.s. 
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3 years ago
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From a survey of 60 students attending a university, it was found that 9 were living off campus, 36 were undergraduates, and 3 w
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