All categories

2 years ago

Identify the oblique asymptote of f(x) = quantity 2 x squared minus 5 x plus 2 over quantity x minus 3.

Mathematics

2 answers:

Artyom0805 [142]2 years ago

7 0

Answer:

The answer is y = 2x + 1

Step-by-step explanation:

Trust.

jarptica [38.1K]2 years ago

4 0

$\bf f(x)=\cfrac{2x^2-5x+2}{x-3}\impliedby 
\begin{array}{llll}
\textit{now, we can do a quick synthetic}\\
\textit{division, since the divisor is}\\
x-3
\end{array}\\\\
-------------------------------\\\\
\begin{array}{r|rrrrl}
3&&2&-5&2\\
&&&6&3\\
--&&--&--&--\\
&&2&1&\boxed{5}&\leftarrow remainder
\end{array}\\\\
-------------------------------\\\\
\textit{so the quotient is }2x+1\impliedby \textit{oblique asymptote}\implies y=2x+1$

You might be interested in

30 POINTS For Answers To Questions 1-10

DochEvi [55]

QUESTION 1

The angle $33x+3$ and $135\degree$ are alternate exterior angles.

Since alternate interior angles are congruent, we must have;

$33x+3=135\degree$

Group similar terms.

$\Rightarrow 33x=135-3$

$\Rightarrow 33x=132$

QUESTION 10

We solve the following equation for the two alternate exterior angles to find x.

$x+134=130$

$\Rightarrow x=130-134$

$\Rightarrow x=-4$

$\Rightarrow x=\frac{132}{33}$

$\Rightarrow x=4$ .

QUESTION 2

The angle $120\degree$ and $31x-4$ degree angle are alternate interior angles.

Alternate interior angles are also equal

$\Rightarrow 31x-4=120\degree$

$\Rightarrow 31x=120+4$

$\Rightarrow 31x=124$

$\Rightarrow x=\frac{124}{31}$

$\Rightarrow x=4$

QUESTION 3

The angle $120\degree$ and $x+124$ degree angle are alternate interior angles.

Alternate interior angles are congruent

$\Rightarrow x+124=120\degree$

$\Rightarrow x=120-124$

$\Rightarrow x=-4$

QUESTION 4

The given angles, $40x+5$ and $42x-1$ are alternate interior angles.

$\Rightarrow 40x+5=42x-1$

Group like terms;

$\Rightarrow 5+1=42x-40x$

$\Rightarrow 6=2x$

Divide both sides by 2 to get;

$\Rightarrow x=3$

QUESTION 5

The given angles, $20x+4$ and $19x+9$ are alternate interior angles.

$\Rightarrow 20x+4=19x+9$

Group like terms;

$\Rightarrow 20x-19x=9-4$

$\Rightarrow x=5$

QUESTION 6

The given angles, $11x$ and $-9+12x$ are alternate exterior angles.

Since the alternate exterior angles are congruent, we have;

$-9+12x=11x$

We group similar terms to obtain;

$12x-11x=9$

$\Rightarrow x=9$

QUESTION 7

The two angles, $x+88$ and $80$ .

The two alternate interior angles are congruent.

$\Rightarrow x+88=80\degree$

$\Rightarrow x=80-88$

$\Rightarrow x=-8$

QUESTION 9

The two angle alternate interior angles.

These angles are congruent.

This implies that;

$x+75=70$

$\Rightarrow x=70-75$

$\Rightarrow x=-5$

QUESTION 10

We solve the following equation for the two alternate exterior angles.

$x+134=130$

$\Rightarrow x=130-134$

$\Rightarrow x=-4$

6 0

3 years ago

Please help! Correct answer only, please! Consider the matrix shown below: Find the determinant of the matrix A. Group of answer

Lemur [1.5K]

Answer:

Hello There The correct answer is 23.

Explanation: First you need to do is multpliy 5x1=1 and multiply 5x1=1 then do 5x4=20 then add the whole numbers 5x1=1 5x4=20 + 3 =23 So the correct answer is 23.

Hope It Helps! :)

4 0

2 years ago

4x-2y=12<br> -4x-9=54<br><br> How can you order a ladder?

blagie [28]

Equations:

4x - 2y = 12
-4x - 9y = 54

Multiple them in both sides

4x - 2y - 4x - 9y = 12 + 54
-2y - 9y = 66
-11y = 66
y= -6

If y= -6 then put y in first or second equation.

I put it in first equation

4x - 2.(-6) = 12
4x + 12 = 12
x= 0

Therefore

(x,y) = (0, -6)

3 0

2 years ago

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a sid

Alenkinab [10]

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

7 0

2 years ago

A researcher was studying how the weights of horseshoe crabs along the East Coast vary between northern and southern habitats. I

Ronch [10]

Answer:

Option D (the weight of crab) would be the correct choice.

Step-by-step explanation:

In mathematics, the sum being analyzed depending on a variety of parameters, which have been calculated as explanatory variables, has become a response variable.
It is analogous with the utilization of the definition of variables of the study. A variable with an order to respond is categorized as either a dependent variable.

Some other preferences are not connected with the sustaining. So choice D is the right one.

6 0

3 years ago