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Otrada [13]
3 years ago
8

For the given function, find the vertical and horizontal asymptotes f(x)= x2+3/ x2-9

Mathematics
1 answer:
Ratling [72]3 years ago
8 0
Set the denominatior equal to zero to find vertical asymptotes. Horizontal take the highest degree of the top and divide it by the highest degree of the bottom.
{x}^{2}  - 9 = 0 \\  {x}^{2}  = 9 \\ x = 3 \\ x =  - 3 \\  \\  \frac{ {x}^{2} }{ {x}^{2} }  = 1 \\ y = 1
Vertical: x=3, x=-3
Horizontal : y=1
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f(x) = 3x2 - 2x g(x) = x + 4 When finding f(x) · g(x), what could the first step look like? A) 3x2 + 12x2 - 2x2 - 8x B) 3x2 + 7x
Anna71 [15]

(3x^2 - 2x)(x + 4)

<em><u>First step would be: distributive property.</u></em>

3x^3 + 12x^2 - 2x^2 - 8x

<em><u>Combine like terms.</u></em>

3x^3 + 10x^2 - 8x is the simplified form of the functions multiplied.

Your answer is D.


3 0
3 years ago
If the perimeter of a square is 80cm, the its area is​
Leno4ka [110]

Answer:

10 by 8

Step-by-step explanation:

The perimater is 80 so number are added. The area would be a square 10 by 8 if you multiply 10 by 8 it will give you 80.

6 0
3 years ago
You hike 190 meters up a steep hill that has a 33∘ angle of elevation as shown in the diagram.
erik [133]

Answer:

b = 159 m

a = 103 m

angle B is 57 degrees

Step-by-step explanation:

Let’s start with getting the measure of angle B

Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle

So we have the measure of B as;

90-33 = 57 degrees

To get the value of a, we use the appropriate trigonometric ratio

a faces the angle 33, that makes it an opposite to that angle

190 faces the right angle and that makes it the hypotenuse

Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse

so, we have it that;

sine 33 = a/190

a = 190 * sine 33

a = 103 m

to get b, it is adjacent to the given angle

So with the hypotenuse, the ratio between it and the hypotenuse is the cosine

so;

cos 33 = b/190

b = 190 * cos 33

b = 159 m

4 0
3 years ago
If CF = 10 in., what does ed equal?
vivado [14]
CF=EC=DC
2CF=CD
CD = 20 in.
3 0
3 years ago
10 years ago, the ratio of Jeremy's age to randy's age to Kadens's age was 4:3:1. The sum of their present age is 102. Find Rand
NemiM [27]

Answer:

Randy: 38.25

Step-by-step explanation:

J 4×12.75= 51

R 3×12.75= 38.25

K 1×12.75= 12.75

51+38.25+12.75=102

8 0
3 years ago
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