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kirill [66]
3 years ago
5

Does the function f(x) = x^3-4x^2+2x-6/x-3 have a slant asymptote? If so, find an equation of the slant asymptote. If not, expla

in

Mathematics
1 answer:
faust18 [17]3 years ago
4 0

Answer:

No slant asymptote.

Step-by-step explanation:

No it hasn't .

If we do the division we find the quotient is a trinomial in x^2 so not a straight line, so there is no slant asymptote.

The one asymptote is the vertical line x = 3, because when x = 3 the denominator becomes 0.

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What is the circumference of a circle with radius 2.1 cm? Use > (inserts wavey = sign) 3.14.
Fiesta28 [93]

Step-by-step explanation:

The formula for the circumference of a circle is 2*pi*radius

Circumference = 2(3.14)(2.1)

= 13.188cm

8 0
3 years ago
A group of 33 people attended a ball game. there were twice as many children as adults in the group. set up a system of equation
taurus [48]
Gjoydxvbkurulnjuvxrhbv
8 0
3 years ago
Factor completely<br> 6n2 – 11n – 10
Pepsi [2]

Step-1 : Multiply the coefficient of the first term by the constant   6 • -10 = -60

Step-2 : Find two factors of  -60  whose sum equals the coefficient of the middle term, which is   -11 .

     -60    +    1    =    -59

     -30    +    2    =    -28

     -20    +    3    =    -17

     -15    +    4    =    -11    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -15  and  4

                    6n2 - 15n + 4n - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3n • (2n-5)

             Add up the last 2 terms, pulling out common factors :

                   2 • (2n-5)

Step-5 : Add up the four terms of step 4 :

                   (3n+2)  •  (2n-5)

            Which is the desired factorization

Final result :

 (2n - 5) • (3n + 2)

4 0
3 years ago
Solve each two-step inequality and graph the solution set on a number line -17 &lt; 3-5x
lawyer [7]

Answer:

x < 4

Step-by-step explanation:

Given the following question:

-17 < 3-5x

In order to find the answer, we will solve the inequality as if it is a regular two-step equation and then we will plot the answer on the number line.

-17 < 3-5x
-17 < 3-5x=3-5x > -17
3-5x > -17
3-3=0
-17--3=-20
5x=-20
\frac{5x}{5}=x
20\div5=-4
x < 4

<u>When plotting inequalities on the number line keep a few things in mind:
</u>
. 4 is greater than x, so the line will go towards the opposite direction of four
. < is a greater sign, it's not a greater or equal to sign (≤) which means it will be an open dot.

Hope this helps.

3 0
2 years ago
Which line has a constant of proportionality between y and x of 5/4?
7nadin3 [17]

Answer:

line b

Step-by-step explanation:

7 0
2 years ago
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