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olya-2409 [2.1K]
4 years ago
11

What is the oblique asymptote of the function f(x) = the quantity of x squared plus 6 x plus 10, all over x plus 2 ? (1 point)?

Mathematics
2 answers:
nignag [31]4 years ago
5 0

Answer:

oblique asymptote at y=x+4

Step-by-step explanation:

To find out oblique asymptote we use long division

                           x    + 4

                      --------------------------------

    x+2              x^2+6x+10        

                        x^2 + 2x  

                       ----------------------------------(subtract)

                                4x  + 10

                                4x   + 8

                   ----------------------------------------(subtract)

                                         2

         oblique asymptote at y=x+4                  

Dmitry_Shevchenko [17]4 years ago
4 0
You can rewrite the equation as:

x+4 + \frac2{x+2}

For extremely high (or low) x, the 2/(x+2) term goes to 0, so what remains then is:

f(x) = x+4.

This is the function that describes the asymptote.


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Simplify <br> −5x^4(−3x^2+4x−2)
malfutka [58]
112 me dió a eso mira haber si es si no trate.
6 0
3 years ago
Factor x^4 - 2x^3 - 33x^2 + 50x + 200 completely using the given factor x^2 - 25.
PIT_PIT [208]

You can do synthetic division twice immediately (or once if you know how to handle x^2 - 25 all at once. I'll use 2 divisions. x^2 - 25 is (x + 5)(x - 5). Both of them are zeros to the given equation which means that x = +5 and

x = - 5  are both zeros of the given quartic.

5        1      -2       -33       50         200

                 5         15       -90         -200          

=====================================

          1       3        -18       -40         0

What you have now is x^3 + 3x^2 - 18x - 40 = 0

Do another synthetic division

-5        1       3       -18       -40

                   -5       10        40

============================

           1      -2        -8        0

The result is

x^2 - 2x - 8 = 0 which factors.

(x + 2)(x - 4) = 0

Answer

The factors are (x + 2)(x - 4)(x + 5)(x - 5) = 0

Long division

x^2 + 0 + 25 ||x^4 - 2x^3 - 33x^2 + 50x + 200 ||x^2 - 2x - 8

                      x^4 + 0  +    25x^2

                      ==================

                               -2x^3 -8x^2  +  50x

                                -2x^3 + 0  +     50x

                                =================

                                            -8x^2 + 0 +200

                                            -8x^2 + 0 + 200

                                ==================

                                                       0

5 0
4 years ago
I’m confused on this one
Naddik [55]

Remark

The intersecting chord theorem states that when 2 chords intersect, the product of the parts of one chord = the product of the 2 parts of the other chord.

In this case ML * LE = IL * LS

Givens

ML = x; LE = 12; IL = 9; LS = 4

Substitute and Solve

12x = 9*4

12x = 36 Divide by 12

x = 36/12

x = 3 Answer <<<<<

8 0
3 years ago
A fish tank holds 10450ml of water. The water is leaking at a rate of 270ml per minute. What is the function to model this situa
bogdanovich [222]

Answer:

The function is given f(t) = 10450 - 270t

3 0
4 years ago
A plane slices through the axis of a right circular cone with a height of 4 feet and a radius of 3 feet, as shown below. What is
DENIUS [597]

Answer: 37.64

Step-by-step explanation:

Given data:

Height of the cone = 4feet

Radius of the cone = 3feet

Therefore:

Perimeter of a cone = 1/3 * π * r*h

= 1/3 * 22/7 * 3² * 4

= 0.333 * 3.14 * 9 * 4

= 37.64 feet

The perimeter of the The cone and plane is 37.64feet

3 0
3 years ago
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