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liubo4ka [24]
3 years ago
6

The graph shows the system of equations that can be used to solve x^3+x^2=x-1.Which statement describes the roots of this equati

on?

Mathematics
2 answers:
Feliz [49]3 years ago
7 0

Answer:

Equation has 1 real root and 2 complex roots.

Step-by-step explanation:

Given : x^{3} +x^{2} =  x -1.

To find : Which statement describes the roots of this equation.

Solution : We have x^{3} +x^{2} =  x -1.

We can write it as  x^{3} +x^{2} - x -1.

Graphs of both these functions shows one common point, this means that the equation x^{3} +x^{2} =  x -1 has one real solution (approximately, x≈-1.839).

But degree is 3 .

So, it has maximum 3 root.

Therefore, Equation has 1 real root and 2 complex roots.

s344n2d4d5 [400]3 years ago
6 0

Answer:

Equation has one real root and two complex roots.

Step-by-step explanation:

The equation x^3+x^2=x-1 consists of two parts. The left side of this equation can be represented by the function y=x^3+x^2 and the right side can be represented by the function y=x-1. Graphs of both these functions are shown in the attached diagram.

These graphs have one common point, this means that the equation x^3+x^2=x-1 has one real solution (approximately, x≈-1.839).

Given equation is cubic, then this equation has three roots. Since only one root is real, then two remaining roots are complex.

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“Solve the equation. Determine if it is undefined or not.”
lozanna [386]

Answer:  a) No Solution

               b) Infinite Solutions  (All Real Numbers)

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

4(g + 8) = 7 + 4g

4g + 32 = 7 + 4g      <em>distributed 4 into g + 8</em>

        32 = 7             <em> subtracted 4g from both sides</em>

Since the statement is false because 32 ≠ 7, then there is NO SOLUTION

-4(-5h - 4) = 2(10h + 8)

20h + 16  = 20h + 16       <em>distributed</em>

           16  =           16        <em>subtracted 20h from both sides</em>

Since the statement is true because 16 = 16, then there are INFINITE SOLUTIONS so x can be all real numbers.

8 0
3 years ago
A basketball game a team made 52 successful shots they were a combination of 1- and 2- point shots the team scored 86 points in
jasenka [17]

Answer: 15

Step-by-step explanation:

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

x = one point shots

y = two point shots

 

1) Setup your equations.

 

x + y = 52

x + 2y = 89

 

2) Isolate a variable.

 

x = 52-y

 

3) Plug in.

 

(52-y) + 2y = 89

52 +y =89

y=37

 

4) Solve for x.

 

x = 52 -37

x=15

 

5) Check your answer.

 

15 + 2(37) = 89

15+74=89

89=89

 

37+15 = 52

52=52

8 0
2 years ago
Read 2 more answers
Compare the slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.
Tcecarenko [31]

Answer:

The slope of f(x) is equal to the slope of g(x).

Step-by-step explanation:

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope of the function f(x)

we have the points

(0,-1) and (3,1)

substitute in the formula

m=\frac{1+1}{3-0}

m_1=\frac{2}{3}

step 2

Find the slope of the function g(x)

take two points of the given table

(0,2) and (3,4)

substitute in the formula

m=\frac{4-2}{3-0}

m_2=\frac{2}{3}

step 3

Compare the slopes

m_1=m_2

therefore

The slope of f(x) is equal to the slope of g(x).

7 0
3 years ago
Read 2 more answers
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Studentka2010 [4]

Answer:

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5 0
3 years ago
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This is a line representing the set of all real numbers
taurus [48]

Answer: ???

Step-by-step explanation:

5 0
3 years ago
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