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dezoksy [38]
3 years ago
5

What is the end behavior of the graph of f(x) = x5 – 8x4 + 16x3?

Mathematics
2 answers:
ryzh [129]3 years ago
7 0

Answer:

Step-by-step explanation:

f(x) = x⁵ – 8x⁴ + 16x³

As x approaches +∞, the highest term, x⁵, approaches +∞.

As x approaches -∞, x⁵ approaches -∞ (a negative number raised to an odd exponent is also negative).

Now let's factor:

f(x) = x³ (x² – 8x + 16)

f(x) = x³ (x – 4)²

f(x) has roots at x=0 and x=4.  x=4 is a repeated root (because it's squared), so the graph touches the x-axis but does not cross at x=4.

The graph crosses the x-axis at x=0.

jeyben [28]3 years ago
7 0

Answer:

The graph touches, but does not cross, the x–axis at x = .4

The graph of the function crosses the x–axis at x = .0

Step-by-step explanation:

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A random sample of 4000 U.S. citizens yielded 2150 who are in favor of outlawing cheesing. Find the point estimate for estimatin
Darina [25.2K]

Answer:

0.5375

Step-by-step explanation:

The point estimate of  proportion of all Americans who are in favor of outlawing cheese can be computed as

p=x/n

Here. x is the number of favorable outcomes and n is sample size.

We are given that x=2150 and n=4000, So,

p=2150/4000

p=0.5375.

Thus, the point estimate of  proportion of all Americans who are in favor of outlawing cheese is 0.5375.

6 0
4 years ago
In a circle with an 8-inch radius, a central angle has a measure of 60°. How long is the segment joining the endpoints of the ar
g100num [7]
Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.

                          Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in

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3 0
3 years ago
Read 2 more answers
I forget how to turn fractions into percent
Illusion [34]
<span>Divide the top of the fraction by the bottom,t<span>hen multiply your answer by 100</span></span>
3 0
3 years ago
The length of a rectangle is shown below:
ludmilkaskok [199]

Answer:

C(5,-4), D(-4,-4)

Have a great day :)

Step-by-step explanation:

7 0
3 years ago
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What is the probability that five randomly selected students will have a mean score that is greater than the mean achieved by th
katrin2010 [14]

Answer:

the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

Step-by-step explanation:

From the five randomly selected students ; 160, 175, 163, 149, 153

mean average of the students = 160+175+163+149+153/5

= mean = x-bar = 800/5

mean x-bar = 160

from probability distribution, P(x-bar > 160) = P[ x-bar - miu / SD > 160 -150.8 /3.94]

P( Z>2.34) = from normal Z-distribution table

= 0.0096419

= 0.0096

hence the probability that five randomly selected students will have a mean score that is greater than the mean achieved by the students = 0.0096

where SD = standard deviation = 3.94 and Miu = 150.8

5 0
3 years ago
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