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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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Please help me! I need help with this question.
slega [8]

The congruent statement and the reason why the triangles are congruent is (b) ΔUVZ ≅ ΔVYX, SSS

<h3>How to determine the congruent statement and the reason?</h3>

From the question, we have the following parameters that can be used in our computation:

Triangles = UVZ and VYX

There are several theorems that make any two triangles to be congruent

One of these theorems is the SSS congruent theorem

The SSS congruent theorem implies that the corresponding sides of the triangles in question are congruent

From the question, we can see that the following corresponding sides on the triangles UVZ and VYX have the same mark

UV and VY

UZ and VX

VZ and YX

This implies that these sides are congruent sides

Hence, the congruent statement on the congruency of the triangles is (b) ΔUVZ ≅ ΔVYX and the reason is by SSS

Read more about congruent triangles at

brainly.com/question/1675117

#SPJ1

5 0
1 year ago
Read 2 more answers
Please help with that answer someone please before 12:00an
nata0808 [166]

Answer:

150 cause subtract 150 from 270 you get 150

8 0
3 years ago
Read 2 more answers
  PLZZZZZZZ HELPP  Which ordered pair is the solution to the system of equations? {y=2x−15} {4x+3y=−5} (5, −5) (4, −7) (0, 6) (7
Sophie [7]

solution is (4, - 7 )

given the equations

y = 2x - 15 → (1)

4x + 3y = - 5 → (2)

substitute y = 2x - 15 into (2)

4x + 3(2x - 15) = - 5

4x + 6x - 45 = - 5

10x - 45 = - 5 ( add 45 to both sides )

10x = 40 ( divide both sides by 10 )

x = 4

substitute x = 4 into (1) for corresponding value of y

y = (2 × 4 ) - 15 = 8 - 15 = - 7

solution is (4, - 7 )


8 0
3 years ago
Identify the initial amount a and the growth factor b in the exponential function.
alina1380 [7]

Given the equation A (x) = 30 x 8.3 ^x, we can get the initial amount of A when x is equal to zero. Therefore:

A (0) = 30 * 8.3^0

A (0) = 30

In this case the equation grows by 8.3 times as x increases. Therefore the growth factor is 8.3.

Answers:

initial amount = 30

growth factor = 8.3

The answers are not in the given choices. I believe you are giving the wrong equation. If the correct equation here is:

A (x) = 680 x 4.3 ^x 

Then the answers are:

initial amount = 680

growth factor = 4.3

The answers are now in the choices given.

7 0
3 years ago
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Elanso [62]

Answer:

expanded form: 5 * 5 * 5

value: 125

Step-by-step explanation:

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3 years ago
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