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Fed [463]
3 years ago
12

Find the dicontinuities of the function.

Mathematics
1 answer:
elena-s [515]3 years ago
5 0

Answer:

Step-by-step explanation:

I'm assuming you meant to type in

f(x)=\frac{x^2+12x+27}{x^2+4x+3} because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to

f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)} and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.

The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!

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Please help me i dont understand
irina [24]

Answer:

3x + 4

Step-by-step explanation:

We have a product of 3 and x. That's rewritten as 3x. We then have 4 more, so we add 4. That gives us the final answer of:  3x+4. (It is 1-4x for the third one). ( The fourth one) The sum of seven and the quotient of a number x and eight

Here, x be the number.

" quotient of a number x and eight" translated to x/8

Sum means '+'

"sum of seven and the quotient of a number x and eight" translated to 7+ x/8 +56+x/8

                               

then; the given statement is 56+x/8

⇒

Therefore, the given statement is 56+x/8

6 0
3 years ago
Can someone help me asap!<br><br> ​
lilavasa [31]

Answer:

B negative

Step-by-step explanation:

use real numbers?

n is +9

m is -11

m/n * (-m*n^2)

-11/9 * (11*81)

-11/1 * (11*9)

-11 * 99

-1089

6 0
2 years ago
Analyze the data represented in the table and select the appropriate model
Inessa05 [86]

Answer: Option B, a linear relation.

Step-by-step explanation:

Let's analyze the points in the data:

the first 3 pairs are: (0,14.70) (10,19.03) and (20, 23.36)

We can see the differences between consecutive points and see if the relation is linear:

(10,19.03) -  (0,14.70) = ( 10 - 0, 19.03 - 14.70) = (10, 4.33) now we need to see the quotient: 4.33/10 = 0.433

(20, 23.36) - (10,19.03)  = (20 - 10, 23.36 - 19.03) = (10, 4.33), and the quotient is the same as before.

This means that the relation is a linear relation, where the slope os 0.433 and the x-intercept is 14.70, so the equation can be written as:

y(x) = 0.433*x + 14.70

3 0
3 years ago
The burger details:
sveticcg [70]
Set up proportion  170/180=x/1  than cross multiply  170x=180 divide both sides by 170   answer 0.944  so 94% remains
6 0
3 years ago
What is the greatest common factor of 15x^3y^2 and 20x^4y^4?
Vanyuwa [196]
<h3>What is the greatest common factor of 15x³y² and 20x⁴y⁴? ​</h3>

​<em>First we have to find the factors of 15x³y²</em>

<em>15x³y² = 3 * 5x³y² ​</em>

<em>​Then we have to find the factors of 20x⁴y⁴</em>

<em>​20x⁴y⁴ = 2²x¹y² * 5x³y²</em>

<em>Now we have to find the common factors to both numbers.​</em>

<em>The common factors are </em><em>5x³y²</em>

Answer : GCF = (15x³y²,20x⁴y⁴) = 5x³y²​

​Hope this helps!​​​​

​​\textit{\textbf{Spymore}}​​​​​​

6 0
4 years ago
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