Applying limits, it is found that since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
The function is given by:
[tex]F(x) = \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
The horizontal asymptote is the limit of the function as x goes to infinity, hence:
[tex]y = \lim_{x \rigtharrow \infty} F(x) = \lim_{x \rigtharrow \infty} \frac{(ax - 3)(x - 2)}{2(x + 3)(x - 2)}[/tex]
Considering only the terms with the highest exponents:
[tex]y = \lim_{x \rigtharrow \infty} \frac{ax^2}{2x^2} = \frac{a}{2}[/tex]
Since [tex]a \neq 0, \frac{a}{2} \neq 0[/tex], and hence the horizontal asymptote is not y = 0, thus not being on the x-axis.
For more on horizontal asymptotes and limits, you can check https://brainly.com/question/11598999
Help me please!
Bill is building a fence around his garden. For every 3 feet of fencing, the cost is $21.
Complete the table below showing the length of the fence and the cost.
Answer:
?
Step-by-step explanation:
i did this problem before.......hmmmmmmmmmmmmm...
In his free time, Gary spends 10 hours per week on the Internet and 14 hours per week playing video games. If Gary has five hours of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
Answer:
Convert Gary's amount of free time per day (5 hours) to per week by multiplying it with 7 (as there are 7 days in a week). The operation gives an answer of 35 hours. The percent of his free time spent on the Internet (I) is,
I = (14 hours / 35 hours) x 100% = 40%
and that on playing video games (G) is,
G = (8 hours / 35 hours) x 100% = 22.86%
Step-by-step explanation:
You are paid 3.50 for every case you deliver to a store. If you deliver fifty seven cases, what will you be paid for that delivery?
Answer:
199.50
Step-by-step explanation:
Given the 3.50 payment for every case delivered to a store:
This means that you will earn 199.50 for delivering 57 cases, because:
57 cases × 3.50 each case = 199.50
Therefore, you will be paid 199.50 for that delivery.
find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17
Answer:
I think these are the answers
a) 3
b) 1
c) 1
Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?
Answer:
he would end up with 25 good games left
Answer: the answer is 31!
Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!
HELP?!?!!! pleaseeee
Answer:
option 1. 3 juniors and 5 seniors
option 2. 4 juniors and 2 seniors
Step-by-step explanation:
3 + 5 = 8
8 is less than 9 and more than 4
4 + 2 = 6
6 is less than 9 and more than 4
how does adding with decimals cpmpare to adding whole number
Answer:
Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.
Step-by-step explanation:
Laura wants to play a game in which each player gets 4 cards. She has a total of 29 cards. How many people can play? How many cards will be remaining?
Answer:
Only 7 people can play and 1 card will remain
Step-by-step explanation:
Answer:
7 people can play
Step-by-step explanation:
there will be 1 card remaining
PLZ Mark Brainliest
the radius of the circle increase at a rate of 4 cm ,min how fast is the area of pool increasing when the radius is 5 cm
Answer:
40π cm2/ min.
Step-by-step explanation:
First, we should begin with an equation we know relating the area of a circle, the pool, and its radius: A=πr2.
10p^8 divided by 5p^4
Answer:
[tex]\sf \cfrac{10p^8}{5p^4}[/tex]
Factor: [tex]\sf 10= 5\times 2[/tex]
[tex]\sf \cfrac{5\times \:2p^8}{5p^4}[/tex]
Cancel common factor:- 5
[tex]\sf \cfrac{2p^8}{p^4}[/tex]
Use the Quotient Rule:
[tex]\sf 8-4=4[/tex]
[tex]\boxed{\sf 2p^4}[/tex]
Carlos bought a new cell phone. The graph represents the
relationship between the number of minutes he uses
and the total
cost. What is the equation of the line?
A) y= 5x + 0.1
B) y=0.1x + 5
C) y=0.5x + 5
D) y = 5x + 5
Answer:
B : y = 0.1x + 5
Step-by-step explanation:
using the y = mx + b equation
b is the intercept on the y axis ( x = 0)
m is the slope of the line.
From the graph we can see that the intercept is (0,5), therefore b = 5;
To calculate slope (m) pick two pints on the line e.g (100, 15) and (0, 5)
m = (y2 - y1)/(x2 -x1) = (15 - 5)/(100 - 0) = 10/100 = 0.1
m = 0.1
therefore in y = mx + b
y = 0.1x + 5
You want to buy a new macbook. Apple will finance the macbook with no money down and no interest if paid in full within 2 years. The minimum monthly payment is $35 per month. If the macbook costs $1,799 and you only make the minimum payment, how much will you have to pay at the end to avoid paying interest?
Answer:
31482.5
Step-by-step explanation:
multipliy 1,799 by 35= 62965 the divide by 2.
9. Mr. Glover wrote the problem, "Find 16% of 50" on the whiteboard and asked students to
create a proportion or equation to solve the problem. Circle the name of anyone who made a true
statement.
Tur
Tur
DOVAN
The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.
The percentage of a given number is the fraction of that number required for consideration.
To determine the required fraction of the given number in the question, express the given statement in mathematical terms.
So that:
16% of 50 = [tex]\frac{16}{100}[/tex] x 50
= 0.16 * 50
= 8
Thus 16% of 50 is 8.
Considering the steps required to solve the question and each statement of students, then Maxine is correct.
NB: The required image to the statement is attached to this answer.
For more on percentage of numbers, visit: https://brainly.com/question/11570843
Write the equation of the line described below in point-slope form.
Answer:
y-1=2(x-3)
Step-by-step explanation:
Point slope form is [tex]y-y_{1} =m(x-x_{1} )[/tex]. m = the slope. [tex]1=y_{1}[/tex] and [tex]3=x_{1}[/tex] now you plug it in. y-1=2(x-3).
[tex]\text{Given that,}\\\\(x_1,y_1)=(3,1) ~ \text{and slope, m=2}\\\\\text{The equation,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -1 = 2(x -3) \\\\\implies y = 2(x-3) +1 \\\\\implies y =2x-6 +1\\\\\implies y =2x -5[/tex]
I need help please..
Answer:
y=-1/2x+1
Step-by-step explanation:
the slope is -1/2 and y intercept is 1 so we plug it in to y=mx+b
Can someone please help!!
Answer:
d
Step-by-step explanation:
40 is the exact amount from a,b,back to c
What is the nearest integer of cube root -12
Answer:
the cube root of -12 is -2.28942849 which is around -2
Step-by-step explanation:
Find the length of the third side. If necessary, write in simplest radical form.
Step-by-step explanation
Anybody know the answer?????
Write your answer as an equation with f(x) first, followed by and equals sign.
Answer:
Step-by-step explanation:Explanation ily/3fcEdSxs[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]
What is the value of b?
Answer:
C. 42
Step-by-step explanation:
Solve for x on number 13
Answer:
x = -4
Step-by-step explanation:
x + 63 and x + 125 are same-side interior angles, which mean they add up to 180°
x + 63 + x + 125 = 180°
2x + 188 = 180
2x = -8
x = -4
-Chetan K
Answer:
x=-4
Step-by-step explanation:
(x+125)+(x+63)=180
125+63=188
180-188= -8
-8/2= -4
For Geometry: explain why Angle- Angle Troangle Similarity Theorem works
Answer: To answer your question: If two of the angles of two triangles are the same, the triangles are similar. ... If two of the angles are known, the third can be found by subtracting the two known angles from 180. If the three angles of two triangles are the same, the triangles have the same shape and are similar.
Step-by-step explanation:: I have now explained to you why the Angle- Angle Triangle Similarity Theorem works i hope Iwas able to help good luck
is 2(x+8)-3(y-7) linear or non linear?
Si. es linea .U na ecuación lineal es una igualdad matemática entre dos expresiones algebraicas, denominadas miembros, en las que aparecen elementos conocidos y desconocidos (denominados variables), y que involucra solamente sumas y restas de una variable a la primera potencia.l
Could somebody help n explain pls thx
Answer:
lines are perpendicular
Step-by-step explanation:
• Parallel lines have equal slopes
• The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form and extract the slope
3x - 2y = - 6 ( subtract 3x from both sides )
- 2y = - 3x - 6 ( divide through by - 2 )
y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
----------------------------------
4x + 6y = 2 ( subtract 4x from both sides )
6y = - 4x + 2 ( divide through by 6 )
y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
--------------------------------------
[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel
[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1
Thus the lines are perpendicular to each other
CAN SOMEONE HELP ME PLEASE ASAP!
Answer:
i think its 150
Step-by-step explanation:
i don’t understand! help pleaze how do i find the side lengths??
Answer:
A
Step-by-step explanation:
cos x = adjacent side / hypotenuse
cos 60 = 9√2/2 / x
1/2 = 9√2/2 / x
x = 9√2
tan x = opposite side / adjacent side
tan 60 = y / 9√2/2
√3 = 2y / 9√2
9√6 = 2y
y = 9√6/2
change this time to 12-hour clock what is anwer
Answer:
2.Military Time 0327 is: 03:27 AM using 12-hour clock notation, 03:27 using 24-hour clock notation.
3.Military Time 0048 is: 12:48 AM using 12-hour clock notation, 00:48 using 24-hour clock notation.
5.Military Time 0600 is: 06:00 AM using 12-hour clock notation, 06:00 using 24-hour clock notation.
6.Converting 24-Hour Time to 12-Hour Time. Add 12 to the first hour of the day and include “AM.” In 24-hour time, midnight is signified as 00:00. So, for midnight hour, add 12 and the signifier “AM” to convert to 12-hour time.
1.05:29 PM using 12-hour clock notation, 17:29 using 24-hour clock notation.
4.11:58 PM using 12-hour clock notation, 23:58 using 24-hour clock notation.
7.09:44 PM using 12-hour clock notation, 21:44 using 24-hour clock notation.
8.10:48 PM using 12-hour clock notation, 22:48 using 24-hour clock notation.
9.11:55 PM using 12-hour clock notation, 23:55 using 24-hour clock notation
(I've put the question numbers according to how you've asked it in the question)
Hope you've understood ☺️
What is 5261.436 rounded to the nearest thousand?
Answer:
5261.436 would be the answer
Find a number such that 20 less than twice the number is 50.
The required simplified solution of the given expression is 35.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Let the number x,
A number such that 20 is less than twice the number is 50.
2x - 20 = 50
2x = 70
x = 35
Thus, the required simplified solution of the given expression is 35.
Learn more about simplification here:
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