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Ugo [173]
3 years ago
15

Find the zeros of the polynomial function f(x)= x(4x-3)(3x+2) Please show work thank you

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
6 0

Answer:

x = -2/3, 0, 3/4

Step-by-step explanation:

The zeros of the polynomial are the solutions or roots or x-intercepts of the function. To find them, use the zero product property to solve for x. Use the property by setting each factor equal to 0.

x = 0                            4x-3=0                 3x+2 = 0

                                     x = 3/4                    x = -2/3

cestrela7 [59]3 years ago
3 0

Answer:

x=0      x = 3/4                x = -2/3  

Step-by-step explanation:

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

We can find the zero's by setting the function equal to zero

0 = x(4x-3)(3x+2)

Using the zero product property

x =0  4x-3 =0              3x+2 =0

x=0    4x-3+3 =0+3      3x+2-2 = 0-2

x=0     4x=3                   3x = -2              

x=0      x = 3/4                x = -2/3          

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Complete the given diagram by dragging expressions to each leg of the triangle. Then, correctly complete the equation to derive
Nimfa-mama [501]

The equation to derive the distance d is \sqrt{(x2-x1)^2+(y2-y1)^2}. The lengths of the other legs of the given triangle are (y2 - y1) and (x2 - x1).

<h3>What is the formula for calculating the distance between two points?</h3>

Consider the two points (x1, y1) and (x2, y2)

The formula used for calculating the distance between the two points is

distance = \sqrt{(x2-x1)^2+(y2-y1)^2}

<h3>Calculation:</h3>

Given that,

The triangle in the graph has vertices (x1, y1), (x2, y2), and (x2, y1)

Since this triangle makes 90°, it is a right-angled triangle.

Hypotenuse = (x1, y1) to (x2, y2), Adjacent = (x1, y1) to (x2,y1), and Opposite = (x2, y1) to (x2, y2).

Consider the length of the hypotenuse = d

So, using the distance formula, the length of the hypotenuse(d) is,

d = \sqrt{(x2-x1)^2+(y2-y1)^2}

And the lengths of the other two legs of the given triangle are,

Length of the adjacent side: (x1, y1) to (x2,y1)

= \sqrt{(x2-x1)^2+(y1-y1)^2}

= \sqrt{(x2-x1)^2+0}

= (x2-x1)

Length of the opposite side: (x2, y1) to (x2, y2)

= \sqrt{(x2-x2)^2+(y2-y1)^2}

= \sqrt{0+(y2-y1)^2}

= (y2-y1)

Therefore, the derived distances for the given triangle are:

d=\sqrt{(x2-x1)^2+(y2-y1)^2}, (x2 - x1), and (y2 - y1).

Learn more about the distance between two points here:

brainly.com/question/661229

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4 0
2 years ago
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Answer:

x = 3.2

Step-by-step explanation:

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x = 3.2

So, therefore, x would be 3.2

8 0
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VARVARA [1.3K]
<h3><u>Answer:</u></h3>

The simple interest is $3352.

<h3><u>Step-by-step explanation:</u></h3>

Using PRT/100, we can find the interest.

  • => 41,900 x 4 x 2/100
  • => 419 x 4 x 2
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<h3><u>Conclusion:</u></h3>

Therefore, the simple interest is $3352.

Hoped this helped.

BrainiacUser1357

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