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3 years ago

What is the simplified form of x plus 1 over x squared plus x minus 6 divided by x squared plus 5x plus 4 over x plus 3 ?

2 answers:

6 0

X² + x - 6 = x² + 3 x - 2 x - 6 = x ( x + 3 ) - 2 ( x + 3 ) = ( x + 3 ) ( x - 2 )
x² + 5 x + 4 = x² + x + 4 x + 4 = x ( x + 1 ) + 4 ( x + 1 ) = ( x + 1 ) ( x + 4 )
( x + 1 ) / ( x² + x - 6 ) : ( x² + 5 x + 4 ) / ( x + 3 ) =
= ( x + 1 ) / ( x² + x + 6 ) · ( x + 3 ) / ( x² + 5 x + 4 ) =
= ( x + 1 ) / ( x + 3 ) ( x - 2 ) · ( x + 3 ) / ( x + 1 ) ( x + 4 ) =
= 1 / ( x - 2)( x + 4 )

Jobisdone [24]3 years ago

3 0

Answer:

1 / (x + 3) (x - 2)

Step-by-step explanation:

This is the correct answer i just took the test!

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If JKL - PNM. then M = L and the sides NP and<br> KJ are proportional.<br> True <br> Or<br> False???

nikklg [1K]

Answer:

True

Step-by-step explanation:

In similarity triangles, corresponding angles are congruent and corresponding sides are in proportion.

4 0

3 years ago

Read 2 more answers

A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown be

vovikov84 [41]

ANSWER

$30\%$

EXPLANATION

The total number of students can be calculated by adding all the frequencies.

From the graph the total frequency is,

$39+117+78+26 =260$

The number of students who intend to go into state or local government after graduation is 78.

The percentage of students who intend to go into state or local government after graduation

$= \frac{78}{260} \times 100\%$

$= \frac{3}{10} \times 100\%$

$= 30\%$

4 0

3 years ago

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The frog population on an island is declining at a rate of 3.2% per year. The population was 4500 in the year 2009.

Vera_Pavlovna [14]

Um maybe 5.2 it depends on the frog and how many they eat to reproduce faster

3 0

2 years ago

A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$

Therefore, for given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

Learn more about the variance here:

brainly.com/question/13673183

#SPJ4

7 0

2 years ago

Suppose that 10% of adults belong to health clubs, and 40% of these health club members go to the club at least twice a week. Wh

kozerog [31]

Answer:

4% of all adults go to a health club at least twice a week

Step-by-step explanation:

the proportion of adults who belong to health clubs is 10% that is 0.10

the proportion of these adults (health club members) go to the club at least twice a week is 40%, that is 0.40.

Thus, the proportion of all adults go to a health club at least twice a week is

0.10 × 0.40 = 0.04, that is 4%

3 0

3 years ago