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Tomtit [17]
2 years ago
7

Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.

Mathematics
1 answer:
Alexus [3.1K]2 years ago
5 0

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.

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What are the zeros of f(x)=x^2-12+36
DochEvi [55]

Answer:

x = 6

Step-by-step explanation:

I think it's supposed to be

y = x² - 12x + 36

Set the equation equal to zero and solve...

0 = x² - 12x + 36

Now factor.  What 2 numbers add to -12, and multiply to 36?

-6 and -6, so our factors are

0 = (x - 6)(x - 6)

So

0 = x - 6, then

6 = x

3 0
3 years ago
Replace ... with ≥ or ≤ so that the derived inequality will be true for any value for x: x^2-16x+64 ... 0
ankoles [38]

Answer:

≥

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8 0
2 years ago
PLEASE HELP DUE IN 10 MINS!!!
Jet001 [13]

Answer:

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Step-by-step explanation:

8 0
2 years ago
What is the equation of the circle with center (−3, 1) that passes through the point (−5, 3)?
Mariulka [41]

Answer:

( x + 3)^2 + ( y - 1)^2 = 8

Step-by-step explanation:

The equation of a circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( x , y) - any point on the circle

( a, b) - center of the circle

r^2 - radius of the circle

( -3 , 1) - center - ( a, b)

a = -3

b = 1

( -5 , 3) - point - ( x, y)

x = -5

y = 3

Step 1: substitute the center into the equation

( x -(-3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + ( y - 1)^2 = r^2

Step 2 : sub the point into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( -5 + 3)^2 + ( 3 - 1)^2 = r^2

(-2)^2 + 2^2 = r^2

4 + 4 = r^2

8 = r^2

Step 3 : sub the radius into the equation

( x + 3)^2 + ( y - 1)^2 = r^2

( x + 3)^2 + (y - 1)^2 = 8

Therefore, the equation of the circle is

( x + 3)^2 + (y - 1)^2 = 8

6 0
3 years ago
A population of 7000 fish experiences 1,000 deaths in a year. what is the population's death rate for that year?
ICE Princess25 [194]
Rate is the number of death over time. So 1000 divide by 365 days =2.78
3 0
3 years ago
Read 2 more answers
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