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3 years ago

17. x^2 + 2x + 1

Mathematics

1 answer:

valentina_108 [34]3 years ago

5 0

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1) + x+1

Factor out x+1

( x+1) ( x+1)

This is not the difference of squares since there is no subtraction

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Answer:

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Step-by-step explanation:

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3 years ago

Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.

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3 years ago

*trigonometry and area.*

soldier1979 [14.2K]

Answer:

<u>The correct answer is that the area of the regular octagon is 309 cm²</u>

Step-by-step explanation:

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3 years ago

A single die is rolled twice. Find the probability of rolling an even number the first time and a number greater than 3 the seco

IceJOKER [234]

Events

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The probability of rolling an even number is:

$\begin{gathered} P(A)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(A)=\frac{3}{6} \\ P(A)=\frac{1}{2} \end{gathered}$

The probability of rolling a number greater than 3 is:

$\begin{gathered} P(B)=\frac{\text{ number of favorable outcomes}}{\text{ total possible outcomes}} \\ P(B)=\frac{3}{6} \\ P(B)=\frac{1}{2} \end{gathered}$

Events A and B are independent, then the probability of one happening after the other is:

$\begin{gathered} \text{ P(A and B) = }P(A)\cdot P(B) \\ \text{ Substituting with the values previously found:} \\ \text{ P(A and B) = }\frac{1}{2}\cdot\frac{1}{2} \\ \text{ P(A and B) = }\frac{1}{4} \end{gathered}$

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1 year ago

A cone has a radius of 5 inches and a height of 10 inches. What is the volume of the cone? Use 3.14 for pi. Round to the nearest

RideAnS [48]

Answer:

261.8 in^3

Step-by-step explanation:

The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.

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V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.

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3 years ago