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inna [77]
3 years ago
13

Use the x-intercept method to find all real solutions of the equation. 14x^​3-53x^​2+41x-4=-4x^​3+x^​2+x+4

Mathematics
2 answers:
Fed [463]3 years ago
7 0

14x^3-4x^3-53x^2-x^2+41x-x-4-4=0  10x^3-54x^2+40x-8=0  2(5x-2)(x^2+5+2)=0  Divide both sides by 2   (5x-2)(x^2+5+2)=0  5x-2=0 5x=2 X=2/5  X^2+5+2=0 5+- sqrt (-5)^2-4×(1×2)/2×1  X= 5+- sqrt 17/2  So answer is   X= 5+- sqrt 17/2, 2/5

11Alexandr11 [23.1K]3 years ago
5 0

Answer:

The given polynomial function is

    \rightarrow14x^3-53x^2+41x-4=-4x^3+x^2+x+4\\\\ \rightarrow14x^3-53x^2+41x-4+4x^3-x^2-x-4=0\\\\ \rightarrow18x^3-54x^2+40x-8=0\\\\\rightarrow 9x^3-27x^2+20x-4=0

Now, we will plot graph of function on two dimensional coordinate plane

 The graph cuts x axis at three distinct points.So, there are three real solution of the polynomial expression.

  x_{1}=0.333\\\\x_{2}=0.667\\\\x_{3}=2

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Dimensional Analysis
AlladinOne [14]

A kilogram of silver contains 5.58×10²⁴ atoms.

<h3>How to determine the parameter</h3>

From the question given above, the following data were obtained:

  • 1 mole of silver = 107.9 g
  • Number of atoms in 1 mole of silver = 6.02×10²³ atoms.
  • Number of atoms in a kilogram of silver is unknown

Now, we shall convert 1 kg of silver to grams (g).

This can be obtained as follow:

1 kg = 1000g

Therefore, 1 kg of silver is equivalent to 1000g.

Now, let's determine the number of atoms in 1 kg (i.e 1000 g) of silver as follow:

If 107.9 g of silver contains 6.02×10²³ atoms.

Then, 1000 g of silver will contain:

= (1000 × 6.02×10²³) / 107.9

= 5.58×10²⁴ atoms.

Thus, a kilogram of silver contains 5.58×10²⁴ atoms.

Learn more about atoms here:

brainly.com/question/6258301

#SPJ1

8 0
2 years ago
Sara sold hotdogs and drinks at the soccer game.
Anarel [89]

Answer:

$11

Step-by-step explanation:

Set up the system of equations

18x + 9y = 45

20x + 12y = 52

Let's try to get y on one side for the first equation.

9y=45-18x

y=5-2x

Now substitute it into the second equation.

20x + 12(5-2x) = 52

20x + 60 - 24x = 52

-4x = -8

x = 2

Now solve for y using the first equation.

18(2) + 9y = 45

36 + 9y = 45

9y = 9

y = 1

Now that we know x and y we can solve for the price of 4 hot dogs and 3 drinks.

4(2) + 3(1) = z

8 + 3 = z

11 = z

That means that the price is 11 dollars.

7 0
3 years ago
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Allushta [10]
Can you show me the diagram
8 0
4 years ago
Read 2 more answers
I need to solve this 1/4(-8y)-3x+9y-x
Alja [10]
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5 0
3 years ago
How do you write 304,800,400 in expanded form and standard
Elanso [62]
Three hundred four million, Eight hundred thousand Four hundred
and standard form is the way you wrote it, 304,800,400
3 0
3 years ago
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