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erma4kov [3.2K]
2 years ago
5

-

Mathematics
1 answer:
REY [17]2 years ago
3 0

The true statement about the graph of the function f(x) = x3 - 2x2 + 4x – 8 is (B) The function has 1 real zero that occurs 1 time.

<h3>How to determine the true statement</h3>

The function of f(x) is represented as:

f(x)=x^3-2x^2+4x-8

Differentiate the function f(x)

f'(x)=3x^2-4x+4

Calculate the minimum value using:

x = -\frac b{2a}

So, we have:

x = -\frac {-4}{2*3}

x = \frac {2}{3}

Substitute 2/3 in f'(x)

f'(2/3)=3*(2/3)^2-4(2/3)+4

f'(2/3)=\frac 83

The value of f'(2/3) is greater than 0.

This means that the function f(x) has 1 real zero, and it occurs once at point (2,0)

Hence, the true statement is (b)

Read more about functions at:

brainly.com/question/13136492

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hope this helps

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On the first day of your garage sale, you earned 12x+9 dollars. The next day you earned 22x dollars. Is it possible you earned t
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Read 2 more answers
a rectangular garden is fenced on alls ides with 256 feet fencing. the garden is 8 feet longer than it is wide
pickupchik [31]

The length and width of the rectangular garden is estimated as-

  • Length = 68 ft
  • width= 60 ft
<h3>How to calculate perimeter of the rectangle?</h3>

A rectangle's perimeter is the total length and distance of its border across all sides. The perimeter of a rectangular box is a linear measurement that is expressed in meters, feet, cm, or yards. Let us first examine the two primary characteristics of a rectangle.

  • A rectangle's four angles are all 90°.
  • A rectangle's opposite sides are of equal length.

The perimeter of the rectangle is given as-

Perimeter = 2(length + width)

perimeter= 256

Let the width of the rectangle be x.

Length is 8 feet longer than width, Thus,

length = x+8

Substitute the values in the formula of perimeter;

256 = 2( x+ 8+ x)

256 = 2( 2x + 8)

128= 2x + 8

120= 2x

x=60

Thus, width = 60 ft.

Length = 60 + 8 = 68 ft.

Therefore, the length and width of the rectangular garden is estimated.

To know more about the area of the rectangle, here

brainly.com/question/2607596

#SPJ4

The complete question is -

A rectangular garden is fenced on all sides with 256 feet of fencing. The garden is 8feet longer than it is wide. Find the length and width of the garden.

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