Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.
Answers
Answer:
Asymptotes: x = -3, x = 3, y = 0Step-by-step explanation:
Given function:
f(x) = 3x / (x² - 9)Zero of the function:
f(x) = 03x / (x² - 9) = 0x = 0, x ≠ -3; 3Vertical asymptotes:
x² - 9 = 0x² = 9x = √9x = -3; x = 3Horizontal asymptotes:
The horizontal asymptote is y = 0, since the degree of the numerator is 1, while the degree of the denominator is 2.The graph with asymptotes and zero is attached
Related Questions
There are 25 students in a class, and 6 of them will be chosen to go on a field
trip. How many ways can these students be chosen?
Answers
Explanation: This question deals with a combination. To find the total number of ways these students may be arranged in a field trip, assuming that the combination does not repeat (there can only be one of each student in a given group of 6), one must simply multiply the number of students total, 25, by the number of students allowed in a group, which is 6. Therefore, 25 • 6 = 150, which gives us our answer.
The distance between Kathmandu to Hetauda is 86 km. convert the distance from km into meter (m).
Answers
Answer:
86000 meters
remeber: 1km = 1000m
so.....
86 x 1000 = 86000 right?? ;-;
How much money was invested at 5% annual simple interest for 4 years to earn $2870?
Answers
Answer:
Principal (amount invested) = $14,350
Step-by-step explanation:
Given the simple interest amount of $2,870 earned in 4 years at 5% interest rate:
In order to find the principal amount that was invested, we could use the simple interest formula and isolate the variable, P, algebraically.
I = P × r × t
where:
I = interest earned = $2,870
P = principal amount invested = ?
r = interest rate = 5% or 0.05
t = time = 4
Divide both sides by (r × t ) to isolate P :
[tex]\displaystyle\mathsf{\frac{I}{(r\:\times\:t)}\:=\:\frac{P\:\times\:r\:\times\:t}{(r\:\times\:t)}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}}[/tex]
Substitute the given values into the formula for P:
[tex]\displaystyle\mathsf{P\:=\frac{I}{(r\:\times\:t)}\:=\:\frac{2870}{0.05\:\times\:4}}[/tex]
[tex]\displaystyle\mathsf{P\:=\frac{2870}{0.20}=14,350}[/tex]
Therefore, the principal amount invested is $14,350.
Write an equation for the nth term of the arithmetic sequence −3, 2, 7, 12, Then find a50.
The equation is =___
Answers
Answer:
Pretty much f(n)=-3+5n-1
Step-by-step explanation:
for the 50th term 242
Michelle is scuba diving. Her position changes from -2.1 m to -38.6 m in 6 1/4 minutes. What is the average change in Michelle’s position each minute. Show your work.
Answers
Answer: 5.824 m / min
Step-by-step explanation:
Change in position = -2.1m to -38.6m
Distance = |-38.6 m - (-2.1m) |
=|-36.5| m
= 36.5 m
Time =
The average change in Michelle's position each minute =
Hence, the average change in Michelle's position each minute = 5.824 m / min
164 people need to ride the elevator to the top of a skyscraper. The elevator can hold 7 people at a time. How many people will be in the elevator on the last trip to the top?
Answers
Answer:
3
Step-by-step explanation:
we know that 23x7=161
so there will be 3 people on the last trip to the top
What does cross-sectional mean
Answers
Answer:
exposed by making a straight cut through a solid form, especially at right angles to an axis.
"the cross-sectional area of the wood"
or
constituting a typical or representative sample of a larger group.
"a cross-sectional survey of high school students"
ig
how many prime numbers are multiples of 8
Answers
There are no prime numbers are multiples of 8. All the multiples of 8 are divided by 2.
What is a prime number?Prime numbers are whole numbers larger than one with only one element the number itself. Prime numbers can only be divided by the number 1 or by themselves.
All the terms that come in the table of 8 are multiples of 8.
8, 16, 24, 32, 40, 48, 56, 64, 72, and 80 are the multiples of 8. There are no prime numbers are multiples of 8.
Hence there is no prime numbers multiples of 8.
To learn more about the prime number refer to the link;
https://brainly.com/question/9315685
9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
+ raiz cuadrada 16 - 62
Answers
Answer:
-94
Step-by-step explanation:
14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =
= 6 + 3(-15) + 3 + 4 - 62
= 6 - 45 + 7 - 62
= -39 + 7 - 62
= -32 - 62
= -94
what is the length of DE
Answers
Answer:
Step-by-step explanation:1
Can anyone please help??
Determine whether the inverse of F(c) is a function
Answers
Does Timmy really brush his teeth before bedtime?
Remember when you were a kid and you were told to brush your teeth before
going to bed? How many of us pretended to brush our teeth thinking that no one
would notice? (It probably took more time to pretend than it would have been to
just brush our teeth in the first place.)
Here we have a null hypothesis, an alternative hypothesis, and the data (evidence).
Null the
Were Hypothesis
They rushed
His Teeth
Teled Not truth
e Tea
The Data
Dry Toothbrush
• What level of significance would you choose, 0.1 or 0.01? Explain.
. Would you reject or not reject the null hypothesis based on the data (a dry
toothbrush)? Explain.
Is there anything that could go wrong with your decision? Explain.
• If something could go wrong, what type of error would that be?
Answers
Answer:
no he doesnt brush his teeth
Step-by-step explanation:
Calculate the difference and enter it below. -9-(-10) Answer here
Answers
Answer:
-9-(-10)
=-9+10
=1
which inequality represents this graph
Answers
Answer:
it would be the first one!
Answer:
z ≥ -10, which is the first answer.
Step-by-step explanation:
As you can see, on the graph there is a point filled in with a line pointing to the right. That would mean the sign would be ≥, as Z is GREATER than or EQUAL TO.
Please help me ASAP please please
Answers
Answer:
67
Step-by-step explanation:
CB is 90 degrees, subtract that from 23 degrees, you get 67
Answer:
67 brainlest
Step-by-step explanation:
Find the product.
-8x5y2 · 6x2y
-8x10y2
-8x7y3
-48x7y3
-48x10y2
Find the product.
(3a4 + 4)2
6a4 + 8
9a8 + 16
9a8 + 24a4 + 16
9a16 + 24a4 + 16
Answers
Answer:
4 better explanation inbox
Step-by-step explanation:
if k=6 what is the value of 7k-2
Answers
Answer:
7x6-2=40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
7k -2 =
7(6) - 2
42 -2
40
You are welcome!
Kayden Kohl
8th Grade Student
Determine the greatest common factor of the numbers 24 and 56
Answers
Answer:
8
Step-by-step explanation:
yw :)
There are 54 students in a speech contest. Yesterday, 1/3 of them gave their speeches. Today, 2/3 of the remaining students gave their speeches. How many
Answers
Answer:
18 student gave there speech yesterday
36 students gave there speech today
Step-by-step explanation:
54 total
54 * 1/3 = 18 student gave there speech yesterday
54*2/3 = 36 students gave there speech today
Hope this helps!
(Please mark ask brainiest)
Thanks!
Is 34/18 greater or less than or equal to 1 5/6
Answers
Answer:
34/18 is greater than 1 5/6.
Step-by-step explanation:
hope this helps. . .<3
good luck! uωu
Answer:
greater than
Step-by-step explanation:
1=6/6 and 6+5=11, so 1 5/6= 11/6
Next, you want to find a common denominator, in this case 18
11/6=x/18
x=33
11/6=33/18
34/18 > 33/18
helppppppppppppppppppppp!
Answers
Answer:
1:3
Step-by-step explanation:
Since your scaling down you divide the smaller number by the larger number
7/21=1/3
=1:3
Hope this helps :)
consider h(x)=x^2+8+15. identify its vertex and y-intercept.
Answers
Answer:
Vertex: (-4, -1)
Y-intercept: (0, 15)
Step-by-step explanation:
Given the quaratic function, h(x) = x² + 8x + 15:
In order to determine the vertex of the given function, we can use the formula, [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex].
Use the equation: [tex][x = \frac{-b}{2a}, h(\frac{-b}{2a})][/tex]In the quadratic function, h(x) = x² + 8x + 15, where:
a = 1, b = 8, and c = 15:
Substitute the given values for a and b into the equation to solve for the x-coordinate of the vertex.
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-8}{2(1)}[/tex]
x = -4
Subsitute the value of the x-coordinate into the given function to solve for the y-coordinate of the vertex:
h(x) = x² + 8x + 15
h(-4) = (-4)² + 8(-4) + 15
h(-4) = 16 - 32 + 15
h(-4) = -1
Therefore, the vertex of the given function is (-4, -1).
Solve for the Y-intercept:The y-intercept is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:
h(x) = x² + 8x + 15
h(0) = (0)² + 8(0) + 15
h(0) = 0 + 0 + 15
h(0) = 15
Therefore, the y-intercept of the quadratic function is (0, 15).
What is the slope of the line y = -4?
Answers
Write the numbers in order from least to greatest -4, 5/2, 3, 0, -8/3
Answers
Answer:
-4,-8/3,0,3,5/2
Step-by-step explanation:
im sorry if this is wrong but this is what i think it is .
pick a number, any number.
If it's even, divides it by 2. If it's odd, multiply it by 3 and add 1. Now repeat those steps again with your new number. Eventually, if you keep going, you'll eventually end up at 1 every single time
(please help me)
Answers
Answer: 1
Step-by-step explanation:
1 x 3 + 1=4
4/2=2
2/2=1
the same thing happens again,
1 x 3 +1=4
4/2=2
2/2=1
therefore the number is 1 when I first started
Answer: If this is a True or False Question the Answer is False
Step-by-step explanation:
Why? because if you pick -1 (negative one) the answer will always be negative.
Perimeter of a trapezoid is 39a-7. Three sides have the following length 9a, 5a+1, and 17a-6 what is the length of the fourth side
Answers
Answer:
4th side is 8a-2
Step-by-step explanation:
P = 39a-7 - ((17a-6) + (9a) + (5a+1))
P = 39a-7 - (31a-5)
P = 8a-2
Select the number line that shows that two opposite numbers have a sum of 0.
Answers
[tex]Hiya![/tex]
Sokka is here to help!
I believe it is A..
Hopefully, this helps you!!!
[tex]Sokka[/tex]
Answer:
Option B is correct.
Step-by-step explanation:
The question said "Opposite numbers and the sum of those numbers is 0". Let's see if Option B has these abilities.
3 - 3 = 0 ✔Are they opposites of each other? ✔=> Therefore, Option B is the correct answer.
a patient is prescribed motrin 800mg, 1 tablet 3 times daily. What would the days supply be for 30 tablets?
Answers
Based on the number of tablets to be taken per day, the days supply for 30 tablets would be 10 days.
The patient is to take a tablet 3 times a day which means that they are to take:
= 1 x 3
= 3 tablets daily
If they have 30 tablets, this will last:
= Number of tablets / Tablets per day
= 30 / 3
= 10 days
In conclusion, it will take 10 days for the tablets to run out.
Find out more at https://brainly.com/question/13043215.
Classify the quadrilateral, Explain your reasoning. Thank you!!
Answers
Answer: y=7, x=2
Step-by-step explanation:
∠Q+∠P=180° (∠s between 2 // lines)
97°+(12y-1)°=180°
12y-1=83°
12y=84
y=7
5x+6=8x (Iso triangle)
x=2
Robert has 4 times as many pennies as he does nickels. If Robert has $1.44 worth of pennies and nickels, how many nickels does he have?