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grin007 [14]
3 years ago
9

Sketch the graph of

id="TexFormula1" title="f(x) = \frac{x - 3}{x + 4 } " alt="f(x) = \frac{x - 3}{x + 4 } " align="absmiddle" class="latex-formula">

Mathematics
1 answer:
lutik1710 [3]3 years ago
3 0
First find any vertical asymptotes:
Any x-values which make the denominator equal 0
---> x+4 = 0   ----->  x = -4
Draw a vertical dotted line along x = -4

Next find any horizontal asymptotes:
A y-value that function approaches as x gets very, very large
Plug in x = 1000, then x = 1000,000. You will see the y-value get very,very close to 1.
In general if the exponents of top/bottom are equal, then the horizontal asymptote is the ratio of the leading coefficients.
Draw a horizontal dotted line along y= 1

Next pick 4 x-values, two on either side of the vertical asymptote.
x = 0 , x = -2, x = -8, x = -6
Plot the 4 points ----> (0,-3/4) , (-2,-5/2),  (-6,9/2) , (-8,11/4)

Notice 2 points will be separated from the other 2 by the dotted lines.
For each pair of points, Draw a curved line through them so they approach but NOT cross the dotted lines.

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E
laiz [17]

Answer:

  44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

  ((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

  (3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

  Δx(x -h) +Δy(y -k) = 0

  5.5(x -0.25) +7(y -1.5) = 0

  5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

  44x +56y = 95 . . . . equation of the perpendicular bisector

8 0
3 years ago
Hernando's salary was $54,500 last year. This year his salary was cut to $52,355. Find the percent decrease. Round to the neares
Otrada [13]

Answer:

Decrease by 3.9%

Step-by-step explanation:

54,500(1-x) = 52355

x=0.03935... = 3.935% or 3.9%

8 0
2 years ago
Read 2 more answers
you are making a photo quilt by transferring photos to squares of fabric. each rectangle is 3 inches long and 2 inches wide. the
steposvetlana [31]
Do u know the no. of photos  be transferred
8 0
3 years ago
HELP! How do I solve this to find the x?
Dmitrij [34]

Answer:

97x

Step-by-step explanation:

97+x=97x

5 0
3 years ago
Read 2 more answers
Please help ASAP.
Burka [1]

Answer:

the answer is B x= -4/3

Step-by-step explanation:

9x^2+24x+20=4

9x^2+24x+20-4=0

9x^2+24x+16=0

(3x+4)^2=0

3x+4=0

3x=-4

x= -4/3

8 0
3 years ago
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