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
Grace [21]
3 years ago
10

What is the oblique asymptote of the function f(x) = the quantity x squared minus 5x plus 6 over the quantity x minus 4?

Mathematics
1 answer:
Paraphin [41]3 years ago
4 0

Answer:

x - 1

Step-by-step explanation:

We know that, a slant or oblique asymptote of a rational function is the asymptote that helps in determining the direction of the function.

It occurs when the polynomial in the numerator is a higher degree than the polynomial in the denominator.

Now, we divide the numerator by denominator using long division method and the first two terms in the quotient ( forming a linear function ) is the equation of the oblique asymptote.

We are given the rational function, f(x) = \frac{x^{2}-5x+6}{x-4}.

After dividing we get that, the quotient is x - 1.

Hence, the equation of the oblique asymptote is x-1.

You might be interested in
Identify all the sets to which the number belongs choose from rational number whole number or integer 1.256 I think irrational c
VLD [36.1K]

Answer:

Rational

Step-by-step explanation:

1.256 is not a whole #, and it's also not an integer. An integer is basically whole #s and their opposites. The # is not irrational. 1.256 is a terminating decimal, and can be turned into a fraction. 1.256 = 1 32/125.

4 0
2 years ago
The sum of two consecutive integers is 77. Find the integers.
SIZIF [17.4K]

Answer:

38 and 39

Step-by-step explanation:

Since the two integers are consecutive, then one is one larger than the other. Therefore, lets call them x and x+1. We can now set up the following equation:

x+(x+1)=77

2x+1=77

2x=76

x=38

x+1=39

Hope this helps!

5 0
3 years ago
Read 2 more answers
Plz help i will give brainly to the person who actually gets it right
Nikolay [14]

Answer:

90x^2+134x+48

Step-by-step explanation:

To get the area of a classroom you just multiply the length times the width

5 0
3 years ago
Read 2 more answers
News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0
2 years ago
Math help me))))))))please
olasank [31]
X^2/(x- 9 = 81/(x - 9)
This is the equation for which you want the solution.
Multiplying both sides of the equation by (x - 9) we get
x^2(x - 9)/(x - 9) = 81(x - 9)/(x - 9)
So the (x - 9) goes out from both the denominator and the numerator and then the simplified equation becomes
x^2 = 81
x ^2 = (9)^2
x = 9
So the value of the unknown variable x comes out to be 9.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Cody was 165cm, {cm}165cm tall on the first day of school this year, which was 10% taller than he was on the first day of school
    8·2 answers
  • A driver who drives at a speed of r mph for t hr will travel a distance d mi given by dequalsrt mi. How far will a driver travel
    10·1 answer
  • George is a fast worker. He can mop 34 ft2 in 1 minute. The court is shaped like a rectangle. It is 95 ft long by 50 ft wide. Ho
    15·2 answers
  • Serena is building a bookcase she cuts two pieces of wood from one board one piece is 1 7/8 feey long and another is 3.5 ft long
    13·1 answer
  • Plz help with my math
    13·1 answer
  • Can someone help me answer this problem
    8·1 answer
  • Find the exact values of the missing side lengths in the triangles below.
    8·1 answer
  • What is the volume of the plastic rocket???
    13·1 answer
  • A pair of cars, 70 miles apart, begin at the same time to run toward each other. If car A
    9·1 answer
  • volunteers collected non perishable food items and packed 14 items per box. If the volunteers collected a total fo 200 items, ho
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!