1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
BartSMP [9]
3 years ago
7

Can someone help me with some algebra?

Mathematics
2 answers:
Sunny_sXe [5.5K]3 years ago
8 0
★ Oblique Asymptote ★

f(x) =  \frac{x {}^{2}  + 5x + 6}{x - 4} \\ f(x) = (x - 4)(x + 9) + 42 \\
Hence , oblique Asymptote is obtained simultaneously by the Quotient of the function obtained ,
HENCE , oblique Asymptote is
y = x + 9
VLD [36.1K]3 years ago
7 0

Answer:

y=x+9.

Step-by-step explanation:

the function is \frac{x^{2}+5x+6}{x-4}. Now, the equation of the oblique asymptote is a function y= mx + b where

m = \lim_{x \to \infty} \frac{f(x)}{x}

and b = \lim_{x \to \infty} f(x)-mx

So,

m =  \lim_{x \to \infty} \frac{\frac{x^{2}+5x+6}{x-4}}{x}

= \lim_{x \to \infty} \frac{x^{2}+5x+6}{x^{2}-4x}= 1.

and,

b = \lim_{x \to \infty}\frac{x^{2}+5x+6}{x-4}-x

=  \lim_{x \to \infty}\frac{x^{2}+5x+6-x^{2}+4x}{x-4}

=  \lim_{x \to \infty}\frac{9x+6}{x-4}= 9.

Then, the equation of the oblique asymptote is y= x+9.

You might be interested in
A volcano in the ocean rises approximately 14,000 feet above sea level. Its base is approximately 20,000 feet below sea level. W
Norma-Jean [14]

Answer:

6,000 feet

Step-by-step explanation:

8 0
3 years ago
Calculate the final displacement from 0 if an object first
8_murik_8 [283]

Answer:

final displacement = - 3cm +5cm = + 2 cm

ie 2 cm towards right

6 0
3 years ago
Mariko needs about 18 wheelbarrows full of stone for her Japanese garden. Her wheelbarrow has vertical sides with the given shap
zlopas [31]

Answer:

I don't know yet haheuehehheejejejej

3 0
3 years ago
Please help me, thank you so much! :)
kakasveta [241]

Answer:

the answer is 9 (^_^)

Step-by-step explanation:

6 0
3 years ago
Help this question question
Step2247 [10]

Answer:

-65 i suppose

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What is 0.02% written as a decimal
    12·2 answers
  • To ship a 2-pound item it costs $6.09. To ship a 7 pound item it costs $8.84. Find the rate of change.
    15·1 answer
  • The larger of two numbers is 10 more than three times the smaller number. The larger number decreased by the smaller number is 8
    6·1 answer
  • kayla has a tshirt store. She sold three times as many white tshirts as blue tshirts. she sold a total of 48 tshirts. How many w
    8·2 answers
  • Please help will name brainlyest
    8·1 answer
  • consider the equation 6*e^0.25t = 9 solve the equation for t. express the solution as a logarithm in base-e
    11·1 answer
  • Solve the equation. <br> q − 11 = 16
    6·2 answers
  • Lin has a small baking pans shaped like a rectangular prism.
    8·2 answers
  • 3y (x + x^2 - y)<br> i need help :(((
    7·1 answer
  • Log4(3x−2)=4.85<br><br> The 4 is a base. <br> How do I solve this?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!