All categories

3 years ago

What is the vertical asymptotes of the function f(x)=x-2/x*2-3x-4

Mathematics

1 answer:

frozen [14]3 years ago

4 0

Answer:

Step-by-step explanation:

$f(x)=\dfrac{x-2}{x^2-3x-4}\\\\\text{DOMAIN}:\\\\x^2-3x-4\neq0\\\\x^2-4x+x-4\neq0\\\\x(x-4)+1(x-4)\neq0\\\\(x-4)(x+1)\neq0\iff x-4\neq0\ \wedge\ x+1\neq0\\\\x\neq4\ \wedge\ x\neq-1\\\\\text{Therefore the vertical asymptotes are:}\\\\x=-1\ and\ x=4.$

You might be interested in

At a pet store the ratio of cats to dogs sold was 5 : 3. If there were 40 cats that were sold, how many dogs were sold?

Anna [14]

Answer:24 dogs

Step-by-step explanation:8x3

3 0

3 years ago

Julia has 3 ribbons that are 12 inches each. how many 4 inch sections can she cut from the ribbon.

Ber [7]

Total length of all ribbons = 12 * 3 = 36 inch

Then, number of ribbons = 36/4 = 9

In short, Your Answer would be: 9 sections

Hope this helps!

6 0

3 years ago

What is the apparent solution to the system of equations graphed above?

Oksana_A [137]

I think the answer is (-2,2)

7 0

3 years ago

Read 2 more answers

1. Write a two-column proof.

Alexandra [31]

Answer:

Check it below, please

Step-by-step explanation:

Hi there!

Let's prove segment AB is perpendicular to CD. Attention to the fact that a two column proof has to be concise. So all the comments can't be exhaustive, but as short as possible.

Let's recap: An isosceles triangle is one triangle with at least 2 congruent angles.

Statement Reason

$\overline{AB} \cong \overline{AC}\\$ Given

$\widehat{ACB} \:bisects\: \overline{AB}$ Isosceles Triangle the altitude, the bisector coincide.

$\overline{AD} \cong \overline{DB}$ Bisector equally divide a line segment into two congruent

$m\angle CDA =m \angle CBD=90^{\circ}$ Right angles, perpendicular lines.

$\overline{CD}\perp \overline{AB}$ Perpendicular Line segment

8 0

3 years ago

A video game randomly chooses your car color and type. The probability of getting a red car is 0.25, and the probability of gett

EleoNora [17]

In probability 2 events are independent if the occurrence of 1 event does not affect the occurrence of the other event. Mathematically, if event A and event B are independent, then $P(A\&B)=P(A)\times P(B)$ . For our two events in this problem we have that $P(A)=0.25$ and $P(B)=0.40$ . If these two events are independent, then we should have that,

$P(A\&B)=P(A)\times P(B)\\P(A\times B)=0.25\times 0.4=0.1.$

.A and B are independent events if the probability of A and B is 0.1

6 0

3 years ago

Read 2 more answers