Identify the excluded values of the rational expression x^2+2x-3/x^2+5x+6

The excluded values of the rational expression are -3 and -2.

Step-by-step explanation:

If a ration function is defined as , then the excluded values of the rational function are those values for which q(x)=0.

The given rational expression is

Factories the numerator and denominator.

               .... (1)

Equate the denominator equal to 0.

Using zero product property,

Therefore the excluded values of the rational expression are -3 and -2.

Cancel out the common factors of equation (1)

for (x≠-3)

It means x=-2 is vertical asymptote and x=-3 is hole.

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10

answer: 33 ( approx)

step-by-step explanation:

since, in the linear regression formula, the slope is the a in the equation y = b + ax ( by comparing it with the general equation of line y = mx + c )

where,

here given table is,

price ($), x   :           18         23       25       29       30       33

pairs sold, y :         16         13         10       8         6       2

so, ,   ,   ,

and   ,

thus, slop of the given line is,

⇒  

⇒   ≈ 33