All categories

3 years ago

How many vertical asymptotes exist for this function?

Mathematics

1 answer:

marin [14]3 years ago

5 0

Remember that to find the vertical asymptotes of rational functions, we just need to set the denominator equal to zero and solve for the variable, in this case $x$ , so lets do it:
$(x-4)(x+1)=0$
$x=4,x=-1$

As you can see, our rational functions has 2 vertical asymptotes: $x=4$ and $x=-1$

You might be interested in

Solve the following: - 3 raised to 1 by 5 the whole raised to 4 (3^1/5)^4

Diano4ka-milaya [45]

Answer:

8.30256

Step-by-step explanation:

Step 1: Write out expression

$((-3)^{\frac{1}{5} })^{4(3^{\frac{1}{5} })^4$

Step 2: Use BPEMDAS to evaluate

$(-1.24573)^{4(3^{\frac{1}{5} })^4$

$(-1.24573)^{4(1.24573)^4$

$(-1.24573)^{4(2.40822)$

$(-1.24573)^{9.6329}$

= 8.30256

And we have our answer!

8 0

4 years ago

One hundred sixty-two guests attended a banquet. Three servers provided their beverages. The first server helped three times as

Rudiy27

Answer:

Below given.

Step-by-step explanation:

162 total guests.
3 servers

Let the number of guests the second server helped be x.

then the first server helped 3x

then the third server helped [(3x)*2] = 6x

Equation in total:

6x + 3x + x = 162

10x = 162

x = 16.2

First server helped: 3 * 16.2 = 49 guests

Second server helped: 16 guests

Third server helped: 6x = 6(16.2) = 97 guests

6 0

3 years ago

Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 =

Gennadij [26K]

The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.

<h3>What is a quadratic equation?</h3>

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

We know that the formula

$\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$