All categories

3 years ago

Determine the holes, vertical asymptotes, and horizontal asymptotes of the rational function y=3x^2+10x-8/x^2+7x+12

1 answer:

8 0

There would be a hole when x = -4.

If you factor both the top and the bottom, you will see that the factor (x + 4) is in both the numerator and denominator. Therefore, the would be a hole when x = -4 because that would also make the denominator 0.

You might be interested in

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in s

Jobisdone [24]

Answer:

$f(x)=x^4-9x^2-50x-150$

Step-by-step explanation:

Let f(x) be the polynomial function of minimum degree with real coefficients whose zeros are 5, -3, and -1 + 3i be f(x).

By the complex conjugate property of polynomials, -1-3i is also a root of this polynomial.

Therefore the polynomial in factored form is $f(x)=(x-5)(x+3)(x-(-1+3i))(x-(-1+3i))$

We expand to get: $f(x)=(x^2-2x-15)(x^2+2x+10)$

We expand further to get:\

$f(x)=x^4-9x^2-50x-150$

3 0

3 years ago

Identify the postulate or theorem that proves p∥q. Please help!! <br><br> Given: ∠4≅∠6

Brilliant_brown [7]

<4 = <6

alternate interior angles theorem

Answer is the third option

8 0

3 years ago

76.98 divided by 45.2

Stella [2.4K]

Answer:

1.7030973451327434

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is 2350million in standard form

julia-pushkina [17]

Answer:

2.35×10^9

2350 million = 2,350,000,000

1 million= 1,000,000

5 0

3 years ago

Read 2 more answers

What is one over six plus three over six?

IrinaK [193]

Answer:4 over 6

Step-by-step explanation:since both denominators are 6, the denominator stays the same. so all you have to do is add 1 and 3. You can also round to 2 over 3.

8 0

3 years ago