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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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If you simplify 4(3x + 8) - 3 . What will your answer be ?
scoundrel [369]
1.) Distribute 4 to (3x) & (8): 4*3x=12x, 4*8=32
2.) Rewrite the expression: 12x+32-3
3.) Combine like terms: 32-3=29
4.) Rewrite the final expression: 12x+29
Final Answer: <span>12x+29
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</span>
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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 cm.
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beks73 [17]

Answer:

The amount of markup is 88 dollars.

Step-by-step explanation:

Given that the whole sale price of bicycle is: $400

P = \$400

Mark up is the profit that the seller of the product makes after selling the product more in price more than its cost or buying price.

Given that mark up percentage is 22%

It can be written mathematically as:

Mark\ up = 22\%\ of\ Price\\Mark\ up = 0.22 * P\\Mark\ up = 0.22 * 400\\= \$88

Hence,

The amount of markup is 88 dollars.

7 0
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