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kondaur [170]
3 years ago
8

Find an equation with a solution of x = 2 of multiplicity 1 , and a solution of x = − 1 of multiplicity 2 .

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

We want to find an equation for the given solutions and the multiplicity of each solution.

The equation is:

0 = (x - 2)*(x + 1)^2

First, assume that we have a given equation and we know that we have solutions {x₁, x₂, ..., xₙ}, each one with multiplicity {m₁, ..., mₙ}.

The equation, of a polynomial that meets these requirements, is given by:

0 = A*(x - x_1)^{m_1}*...*(x - x_n)^{m_n}

Where A is the leading coefficient and can be any real number.

Now that we know that, here we have the solutions:

  • x = 2 with multiplicity 2
  • x = -1 with multiplicity 2

We don't have information about the leading coefficient, so we assume it is equal to 1.

Then the equation is:

0 = (x - 2)*(x + 1)^2

If you want to learn more, you can read:

brainly.com/question/11536910

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Use the work shown below to write the equation for a line that passes through the points (−5, 0) and (−1, −8).
Dennis_Churaev [7]

Answer:

M = -2

b = -10

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

m = (-8 -0)/(-1- -5)

   = (-8-0)/(-1+5)

    = -8/4

    = -2

We now want to find the y intercept

y = mx+b is the slope intercept form of the equation

y = -2x+b

Using the point (-5,0)

0 = -2(-5) +b

0 = 10+b

Subtract 10 from each side

-10 = 10-10+b

-10 =b

The y intercept is -10

y= -2x-10

7 0
3 years ago
Read 2 more answers
What is the value of the expression? (-3)(-4)(-5)
nekit [7.7K]

Answer:

-60

Step-by-step explanation:

-3 x -4 x -5

12 x -5

-60

negative x negative x negative= negative

4 0
3 years ago
Help I am confused i don’t remember how to answer this.
krek1111 [17]

Answer:

5/6

Step-by-step explanation:

I hope this helps!

8 0
3 years ago
Read 2 more answers
PLEASE HELP
devlian [24]

Answer:

I think it is a 160o Angle

Step-by-step explanation:

7 0
3 years ago
What is the distance between (-6,4) and (-8,6)? Choose 1 answer:
lukranit [14]

Answer:

D

Step-by-step explanation:

We want to find the distance between (-6, 4) and (-8, 6).

We can use the distance formula given by:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Let (-6, 4) be (x₁, y₁) and let (-8, 6) be (x₂, y₂).

Substitute:

d=\sqrt{(-8-(-6))^2+(6-4)^2

Evaluate:

d=\sqrt{(-2)^2+(2)^2

Evaluate:

d=\sqrt{4+4}=\sqrt{8}

Hence, our answer is D.

6 0
3 years ago
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