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Marysya12 [62]
3 years ago
12

What is the factored form of x^2-x-2

Mathematics
1 answer:
tekilochka [14]3 years ago
6 0

For this case we have:

By definition, the factorization is an algebraic expression that is used to find two or more factors, taking into account that the product of these factors must be equal to the given expression.

That is to say:

Given an expression of the form x ^ 2 + (a + b) x + ab

We can factor in the following way:

(x + a) (x + b)

Since, its product is: x ^ 2 + bx + ax + ab = x ^ 2 + (a + b) x + ab,

checking the given definition.

If we have:

x ^ 2-x-2

We can factor:

(x-2) (x + 1)

When making your product we obtain:x ^ 2 + x-2x-2 = x ^ 2-x-2

Answer:

(x-2) (x + 1)


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Is a parallelogram always a square?<br> yes<br> no
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Answer:

yes

Step-by-step explanation:

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Select the correct answer. Anna learns in her science class that the human eye blinks an average of 4,200,000 times a year. What
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Answer:

Step-by-step explanation:

A. 4.2E6 because when putting a number into scientific notation, you would want one number in front of the decimal place and then the trailing numbers would follow. The exponent or E stand for how many numbers are after the decimal, which in this case would be 6.  

4,200,000 → 4.2 x 10^6 which is equal to saying 4.2E6

Tip: If the exponent is negative than the decimal would go in the opposite direction. For example:

4,200,000 → 4.2 x 10^-6 would not equal each other because 4.2 x 10^-6 means 0.000004, six numbers would be behind the decimal.

8 0
3 years ago
1. What is the slope between the points (2,-5) and (8,3)? *<br><br> Show work please
hjlf

Answer:

\sf m = \dfrac{4}{3}

Step-by-step explanation:

Given, \sf (x_1, ~ y_1) = (2, -5) and \sf (x_2, ~ y_2) = (8, 3)

The slope formula is, \sf m = \dfrac{y_2 - y_1}{x_2 - x_1}

\sf m = \dfrac{3 - (-5)}{8 - 2}

\sf m = \dfrac{8}{6}

\bf m = \dfrac{4}{3}

6 0
2 years ago
Warren, a golf fan, was curious about how often professional golfers make successful putts from various distances. He looked at
anzhelika [568]

Answer:

Explained below.

Step-by-step explanation:

A correlation coefficient is a mathematical measure of certain kind of correlation, in sense a statistical relationship amid two variables

Negative correlation is a relationship amid two variables in which one variable rises as the other falls, and vice versa.  

Values amid 0.7 and 1.0 (-0.7 and -1.0) implies a strong positive (negative) linear relationship amid the variables.

It is provided that Warren noticed a strong negative linear relationship between the success rate and putt distances.

This implies that as the putt distances are increasing the success rates are decreasing and as the putt distances are decreasing the success rates are increasing.

4 0
3 years ago
Read 2 more answers
A jar contains 8 red marbles numbered 1 to 8 and 7 blue marbles numbered 1 to 7. A marble is drawn at random from the jar. Find
Shkiper50 [21]

Answer:

Therefore the probability that the marble is blue or even numbered is \frac{11}{15}

Step-by-step explanation:

Probability: The ratio of favorable outcomes to the total outcomes.

It is denoted by P.

Probability= \frac{\textrm{favorable outcomes}}{\textrm{Total outcomes}}

Given that a jar contains 8 red marbles and 7 blue marbles.

Total number of marbles = (8+7) = 15

Let A = Event of getting a blue marble

B= Event of getting of even marble.

Even number blue marbles are 2, 4,6

Even number red marbles are 2, 4,6,8

The number of even marbles are =(3+4)=7

The probability of getting a blue marble is P(A)

=\frac{\textrm{Total number of blue marbles}}{\textrm{Total number of blue marbles}}

=\frac{7}{15}

The probability of getting a even marble  is P(B)

=\frac{\textrm{The number of even number marbles}}{\textrm{Total number of marbles}}

=\frac{7}{15}

The probability of getting a even numbered blue marble P(A∩B)

=\frac{3}{16}

P(blue marble or even- numbered)

=P(A∪B)

=P(A)+P(B)-P(A∩B)

=\frac{7}{15} +\frac{7}{15}-\frac{3}{15}

=\frac{11}{15}

Therefore the probability that the marble is blue or even numbered is \frac{11}{15}

3 0
3 years ago
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