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2 years ago

Find the roots of the equation x^3-3x^2+x+5

1 answer:

5 0

First observe that x=-1 is a root of the equation. Use long division to divide x^3-3x^2+x+5 by x+1, we find that (x^3-3x^2+x+5)/(x+1)=(x^2-4x+5). Now we need to find the roots of x^2-4x+5.
x^2-4x+5=0,
x^2-4x+4=-1,
(x-2)^2=i,
x-2=i or -1,
x=2+i or 2-i.
The three roots are 2+i, 2-i, -1.

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−2y−8+4yminus, 2, y, minus, 8, plus, 4, y

lora16 [44]

Answer:

a number 12

Step-by-step explanation:

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3 years ago

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Juliet has a choice between receiving a monthly salary of $1750 from a company or a base salary of $1600 and a 3% commission on

Westkost [7]

For an amount of sales of $5,000, the two salary choice will be equal

Let the amount of sales be $x

The 3% she will receive will be;

$\frac{3}{100}\times x\text{ = 0.03x}$

We add this to the base salary and equate to the former monthy salary

We have this as;

$\begin{gathered} 1750\text{ =1600 + 0.03x} \\ 1750-1600\text{ = 0.03x} \\ 150\text{ = 0.03x} \\ x\text{ = }\frac{150}{0.03} \\ x\text{ = \$5000} \end{gathered}$

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1 year ago

Yolanda's club has 50 members. It's rules require that 60% of them must be present for any vote. At least how many members must

HACTEHA [7]

If you do 60% then you put the percent two times over the the left so 0.60 then you would do 0.60 times 50 so that would be 30. 30 of the members must vote. Hopefully that helped?

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3 years ago

Use Euler’s Formula to find the missing number. Edges: 37 Faces: 25 Vertices: ?

matrenka [14]

Answer:

Step-by-step explanation:

Comment

The formula that relates edges faces and vertices is F + V = E + 2

Givens

Edges (E): 37

Faces (F) = 25

Vertices: x

Solution

25 + x = 37 + 2 Subtract 25 from both sides.

25-25 +x= 37 - 25 + 2 Combine

x = 12 + 2

x = 14

Answer: The vertices = 14

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2 years ago

Show how to solve the problem 378 x 6 using place value with regrouping. Explain how you knew when to regroup.

KIM [24]

Answer

2,268

Explanation

By grouping 378 can be written as,

378 = 300 + 70 + 8

6× 378 = 6 × (300 + 70 + 8)

= (6×300) + (6×70) + (6×8)

= 1800 + 420 + 48

= 2,268

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2 years ago