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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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What would be the integer for this problem <br> ???+-8=-2
KiRa [710]

Answer:10

Step-by-step explanation:

10 because 10 minus 8 would be 2

3 0
3 years ago
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Both sides of an equation can be multiplied by the same number without changing the solution of the equation.
kifflom [539]

Answer:

Just as you can add or subtract the same exact quantity on both sides of an equation, you can also multiply both sides of an equation by the same quantity to write an equivalent equation. Let's look at a numeric equation, to start.

Step-by-step explanation:

7 0
3 years ago
Can somebody help me with this? Explanation please<br><br> Brainliest and 5/5 stars will be given
Anastaziya [24]

Answer:53 books

Step-by-step explanation:

6 0
3 years ago
Robert spun the fair spinner shown below 1,060 times,
prisoha [69]

Answer:

About 400 times

Step-by-step explanation:

Given

n = 1060

See attachment for spinner

Required

Determine the number of times an outcome of 1, 3 or 8 is expected

First, calculate the theoretical probability of 1, 3, or 8

This is calculated as:

Pr = P(1) + P(3) + P(8)

The spinner is divided into 8 equal segments and each outcome appears once.

So, we have:

Pr = \frac{1}{8}+\frac{1}{8}+\frac{1}{8}

Take LCM and add

Pr = \frac{1+1+1}{8}

Pr = \frac{3}{8}

So, the expected number of times (E) is:

E = Pr * n

E = \frac{3}{8} * 1060

E = \frac{3* 1060}{8}

E = \frac{3180}{8}

E = 397.5

Approximate

E = 398

<em>This means about 400 times</em>

8 0
3 years ago
Fifth grade
Kitty [74]

The fraction of the original mass that was lost in the second month is 1/12.

<h3>What is the fraction?</h3>

A fraction is a non-integer that is made up of numerators and denominators. An example of a fraction is 1/10.

Weight lost in the first month = 1/6 x 120 = 20kg

Weight lost in the second month = 1/10 x (120 - 20)

=  1/10 x 100 = 10kg

Fraction of the original mass that was lost in the second month : weight lost in the second month / total mass

10 kg / 120 = 1/12

To learn more about multiplication of fractions, please check: brainly.com/question/1114498

#SPJ1

6 0
2 years ago
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