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olga55 [171]
2 years ago
7

Kate earned $10 less this week than last week. This

Mathematics
1 answer:
Lisa [10]2 years ago
4 0

Answer:

I ready hope you find the answer

Step-by-step explanation:

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What are the x and y intercepts of f(x) = x2-x-12/x2+5x+6 and is there a hole? ​
stiv31 [10]

Answer:

There are no holes. The VAs are x=4 & x=-4  the HA is  x=2 the x intercepts are  (-3,0) & (3,0)  and the y intercept is (0,9/8).

Step-by-step explanation:

Given  f ( x ) =2 x ^2 − 18/x^2-16

find all asymptotes, holes and intercepts.

Factor the numerator and denominator.

f ( x ) =2 ( x ^2 − 9 )/( x + 4 ) ( x − 4 )

f ( x ) =2 ( x +3 ) ( x − 3 )/( x + 4 ) ( x − 4 )

A hole exists when the numerator and denominator contain the same factor (a factor "cancels out"). This function has no holes.

To find the vertical asymptote(s) (VA), find the values of  x

which make the denominator equal zero. The function is undefined at these values of  x

because you cannot divide by zero.

Set each factor of the denominator equal to zero and solve.

x + 4 = 0  and x − 4 = 0

x = − 4  and  x = 4

These are the VAs.

To find the horizontal asymptote(HA), compare the degree of the numerator and denominator. If the degrees are the same, the HA is the ratio of the leading coefficients.

For  f ( x) =2 x ^2 − 18/x^2-16

the degree in both numerator and denominator is  2

and the ratio of the leading coefficients is 2/1=1

The HA is  x = 2

The  x  intercept is the value at which the function (or "y") equals zero. If the numerator is zero, the function equals zero.

2 ( x + 3 ) ( x − 3 ) = 0

x + 3 = 0    x − 3 = 0

x = − 3   and  x = − 3

The  x  intercepts are  ( − 3 , 0 )  and  ( 3 , 0 ) .

The  y  intercepts are found by setting  x = 0 .

f ( 0 ) = 2 ( 0 ) ^2 − 18/( 0 )^2 − 16 = 9 /8

The  y  intercept is  ( 0 , 9/ 8 ) .

graph{(2x^2-18)/(x^2-16) [-10.04, 9.96, -3.56, 6.44]}

HOPE THIS HELPS YOU!!!!

        =)

4 0
3 years ago
Until 2014, the mass of a kilogram was defined as exactly equal to the mass of a special
AleksAgata [21]

Answer:

surface area: 7241.25

Step-by-step explanation:

using this formula for surface area of cyclinder: 2πrh+2πr^2

diameter = 2r --> 39.2 = 2r

so r= 19.6

4 0
3 years ago
Read 2 more answers
when table sugar is burned in air, carbon dioxide and water vapor are products, as shown by the following unbalaned chemical equ
Ulleksa [173]
<span>C12H22O11(s)+12O2(g) =12CO2(g)+11H2O(g)</span>
5 0
3 years ago
Yesterday 6/7 of the 63 students gave their speeches how many gave their speeches
storchak [24]
7 goes into 63 9 times so 6/7 you would take away one 9 so it would be 6 times 9 which is equal to 54

Answer: 54 students
4 0
3 years ago
Simplify (4.2^n+1 _ 2^n+2 )/(2^n+1 _ 2^n).​
irina [24]

4.2^n+12^n+2/2^n+12^n

Step-by-step explanation:

6 0
3 years ago
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