The graph of the function f (x) = StartFraction 6 Over x minus 3 EndFraction is shown below. On a coordinate plane, a hyperbola is shown. Both curves approach x = 3. What is the vertical asymptote of the function? x = –3 x = –2 x = 0 x = 3
Answers
Answer:
D.) x=3
Step-by-step explanation:
its right
The function will form a vertical asymptote at [tex]x=3[/tex].
Option D: [tex]x=3[/tex] is correct.
Given:
The function is [tex]f (x) = \dfrac{ 6} { x - 3 }[/tex].
We need to find the vertical asymptote of the function.
The given function is a rational function in which the denominator is [tex]x-3[/tex].
Now, the denominator should not be equal to zero.
As the function approaches [tex]x=3[/tex], the function will lead to infinity (positive or negative).
So, the function will form a vertical asymptote at [tex]x=3[/tex].
Option D: [tex]x=3[/tex] is correct.
See the attached image.
For more details, refer to the link:
https://brainly.com/question/8493280
Related Questions
solve the inequality [tex]\frac{t}{4} \\ \textgreater \ 7[/tex]
Answers
Answer:
[tex]t > 28[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
$500(1+0.045)^2 -$500(1+0.04)^3
Answers
Answer:-16.4195 US$
Step-by-step explanation:
Find (-2) for f(x) = 2.3% will give brainliest for correct answer
Answers
Answer: The answer is B
Step-by-step explanation:
An uncooked gingerbread cookie is y centimeters long. After it is baked, the length of the
cookie increases by 25%. Which expression best represents the new length of the
cookie?
A. 0.25y
B. 0.75y
C. 1.25y
D. 12.5y
Answers
Answer:
I think the answer is C
Step-by-step explanation:
If you have a normal ginger bread cookie, its full size would be 100%. So, if you add the first 25%, 1.25%
The expression best describes the new length of the cookie will be 1.25y.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
An uncooked gingerbread cookie is y centimetres long. After it is baked, the length of the cookie increases by 25%.The initial length of the cookie is y after baking the length is increased by 25%
= y + 25%y
= y + ( 25 / 100 ) y
= y + 0.25 y
= 1.25 y
Therefore the expression best describes the new length of the cookie will be 1.25y.
To know more about Expression follow
https://brainly.com/question/723406
#SPJ2
What is distance between point X and point Y?
StartRoot 11 EndRoot
StartRoot 22 EndRoot
StartRoot 61 EndRoot
StartRoot 72 EndRoot
Answers
Answer:
The answer is 61:)
Step-by-step explanation:
The concept distance formula is used here to determine the distance between two points. The distance between two points is the length of the line joining the two points. The distance between point X and point Y is 4√2 units.
What is distance formula?In analytical geometry, the distance formula is used to find the distance measure between two lines. The distance between two points of the xy-plane can be found using the distance formula.
The distance between two points is given as:
d = √(x₂ - x₁)² + (y₂ - y₁)²
d = √(-1 + 5)² + (3 - 7)²
d = √(4)² + (-4)² = √16 + 16
d = 4√2 units
Thus the distance between two points X(-5,7) and Y(-1,3) is 4√2 units.
To know more about distance formula, visit;
https://brainly.com/question/25841655
#SPJ3
Your question is incomplete most probably your full question was:
Find the distance between two points X(-5,7) and Y(-1,3):
A circle is centered at N(-6,-2)N(−6,−2)N, left parenthesis, minus, 6, comma, minus, 2, right parenthesis. The point E(-1,1)E(−1,1)E, left parenthesis, minus, 1, comma, 1, right parenthesis is on the circle.
Where does the point H(-10,-7)H(−10,−7)H, left parenthesis, minus, 10, comma, minus, 7, right parenthesis lie?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Inside the circle
(Choice B)
B
On the circle
(Choice C)
C
Outside the circle
Answers
Answer:
outside the circle
Step-by-step explanation:
tbh idrk i guessed but i got it right
A recipe for lemonade requires 10 parts of water to
every 6 parts of lemon juice. How many cups of
water should be added to 30 cups of lemon juice
to make the lemonade?
Answers
Answer:
50
Step-by-step explanation:
10 to every 6
x to every 30
30/6 = 5
10* 5 = 50
50 for every 30
Hope this helps! :D
Have a wonderful Day!
Answer:
50
Step-by-step explanation:
there are 6 cups alr and it used 10 cups of water
30 divded by 6 equals 5
5 times 10 equals 50
What is the square root 25
Answers
Answer:
5
Step-by-step explanation:
you could use a calculator, but it works like this too i guess. :P also you could just try and guess, "what squared (multiplied by itself) is 25" good luck
Answer:
5 should be the answer for the square root
Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet. Does he need to find the area or the perimeter of the lawn if he wants to mow the entire lawn? What is the total amount of lawn that he will mow?
Answers
Answer:
For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.
[tex]A = 23ft* 25 ft = 575 ft^2[/tex]
So then Mr Doyle need to mow 575 ft^2 in order to finish the job
Step-by-step explanation:
For this case Mr Doyle nees to cut his rectangular lawn and we assume that all the place is covered by lawn so then we need to find the area.
And the area for a rectangular shape is given by:
[tex] A = lw[/tex]
Where l is the length and w the width. If we replace the info given we got:
[tex]A = 23ft* 25 ft = 575 ft^2[/tex]
So then Mr Doyle need to mow 575 ft^2 in order to finish the job
Answer:
[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]
Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn
Step-by-step explanation:
Mr. Doyle needs to mow his rectangular lawn that measures 23 x 25 square feet.
we will have to find the area.
And the area for a rectangular lawn is Length * Breadth
A = L * B
Where l is the length and B is the width.
L = 23 square feet
B = 25 square feet
By inputting the values we get,
[tex]A = 23ft\times25 ft \\\\= 575 ft^2[/tex]
Therefore, Mr Doyle need to mow [tex]575 ft^2[/tex] in order to mow the entire lawn
Which expression is the same as 8 ones and 72 thousandths?
Answers
Answer:
8.072
~Savannah:))
Answer:
(8×1)+(7×1/100)+(2×1/1000)
Rodrigo entrena para una maraton todos los dias sale a correr a una pista de 6 kilimetros de longitud,el lunes da dos vueltas,el martes da una vuelta y un medio,el miercoles da una vuelta y un tercio,el jueves da dos vueltas y dos quintos,el viernes da una vuelta y dos tercios,y el sabado dio dos vueltas y tres cuartos cuantos kilometros recorrio por dia
Answers
Answer:
11.65 km / day
Step-by-step explanation:
We can calculate the amount of daily kilometer in the following way
First day: 2 * 6 = 12 km
Second day: 1.5 * 6 = 9 km
Third day: 1.333 * 6 = 8 km
Fourth day: 2.4 * 6 = 14.4 km
Sixth day: 1.666 * 6 = 10 km
on Saturday: 2.75 * 6 = 16.5 km
the average per day
(12 + 9 + 8 + 14.4 + 10 +16.5) / 6 = 11.65
11.65 km/day
A store sells pencils and erasers. Five pencils and 10 erasers cost $1.05. Two pencils and five erasers cost 0.44 $. How much would seven pencils and seven erasers cost?
Answers
Answer:
1.33
Step-by-step explanation:
People attending a football game were asked what their favorite sport was biased or unbiased ??
Answers
Answer The answer is biased.
A polygon has two sets of parallel lines and four right angles based on this information which of the following is true about the polygons
a it is a rectangle
b it is a trapezoid
C it is a triangle.
D it is a rhombus
Answers
Which of these two expressions represent the phrase "five plus two times a number"? A. 5n+2n and 2n+5n B. 5+2n and 2+5n C. 2n+5 and 2n-5 D. 5+2n and 2n+5
Answers
Answer:
It would be D because you are timing 2 by a number which would have n together
Hope this helped
The expression is 5 + 2n.
What is linear equation?Declaration that the sum of a set of terms, each of which is the product of a constant and the first power of a variable, is equal to a constant in a first-degree polynomial (also known as a linear equation).
A system of simultaneous equations is an ensemble of equations that share a common solution.
Given a sentence "five plus two times a number"
let a number be n
two times of number = 2 x n = 2n
and add 5 we get,
5 + 2n
Hence the expressions represent the phrase is 5 + 2n.
Learn more about linear equation;
https://brainly.com/question/11897796
#SPJ5
16.8=2.4e
what does the E equal
Answers
16.8 = 2.4 e
=> e = 16.8/2.4
=> e = 168/24
=> e = 7
Hence, E equal to 7
Answer:
e = 7
Step-by-step explanation:
2.4e is the same as [tex]2.4*e[/tex], so you simply undo the equation.
[tex]16.8=2.4*e[/tex]
divide by 2.4 on both sides to isolate the variable.
[tex]16.8/2.4 = (2.4 *e)/2.4[/tex]
[tex]7 = e[/tex]
Financial Literacy: Question 2Gordon opened a savings account with an initial deposit of $1,200.His balance will earn 2.5% simple interest overy year, Balley openeda savings account with an initial deposit of $900. Her balance willearn 3.25% interest compounded annually. The deposits were madeon the same day, and no additional money will be deposited orwithdrawn from the accounts. Which statement about the balances ofGordon's account and Balley's account at the end of 6 years is true?
Answers
Answer:
In 6 years form now, the balance in Gordon's account will be = {$1,200 x [1 + (2.5% x 6 years)]} = $1,380
his account will have earned = 2.5% x 6 years x $1,200 = $180 in interests over the six years
In 6 years form now, the balance in Bailey's account will be = $900 x (1 + 3.25%)⁶ = $1,090.39
his account will have earned = $190.39 in interests over the six years
Bailey's account earned more interest than Gordon's, even though his initial balance was much lower. This was due to higher interest rates and more important, because Bailey earned compound interest.
Two rectangles with the same side length are always congruent
Answers
Answer:
no
Step-by-step explanation:
the length and the width in one rectangle are the same as the length and width in a second rectangle, then yes those rectangles must be congruent. If you just mean the lengths of 2 rectangles are equal, but their widths are different, then no those rectangles are not congruent.
Consider the following ratios and state that whether these ratios forms a proportion?
Case1 - 20 friends to 15 strangers
Case 2 - 4 friends to 3 strangers
A. Yes
B. No
Part B
Find the ratio of the number of friends in Case 1 to the number of friends in Case 2.
Answer:_____________
Note: Type the answer as shown. Ex: (3:8)
Answers
Answer:
yes
Step-by-step explanation:
Be cause i whant points 20=15 7213=938401
Part A. Yes, these ratios forms a proportion
Part B- the ratio of the number of friends in Case 1 to the number of friends in Case 2 is 5:1
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
The ratios in cases 1 and 2 form a proportion. IT can be seen by dividing case a by 5 which gives 4:3;
i.e 20:15
If we divide both numerator and denominator by 5, then we have 4/3.
This shows case 1 and 2 have the same proportions of friends to strangers.
Part B; The number of friends in case 1 is 20 while in case 2 is 4.
we have, 20:4
= 20 4
Dividing each by 4, we have 5:1.
Which means that the ratio of friends that in case 1 to case 2 is 5:1.
Learn more about the ratio here:
brainly.com/question/13419413
#SPJ2
An aquarium is designing a new exhibit to showcase clownfish and queen angelfish. The exhibit will hold a rectangular tank with length twice the size of the width, height is equal to 4 feet and total volume will equal to 500 cubic feet. What is a reasonable width of the tank to the nearest tenth of a foot?
Answers
Answer:
The width of the tank is approximately 7.9 feet.
Step-by-step explanation:
The pool is a rectangular prism with the following dimensions:
length = 2*x feet
width = x feet
height = 4 feet
With volume equal to 500 cubic feet, therefore:
volume = length*width*height = 500
(2*x)*(x)*(4) = 500
8*x² = 500
x = sqrt(500 / 8)
x = sqrt(62.5)
x = 7.90569 feet
The width of the tank is 7.9 feet.
Han's summer job paid him $4,500 last summer.
This summer, he will get a 25% pay
increase from the company.
How much will he make this summer? Explain how
you found your answer.
Katharine Pierrot
11:04 AM
This is your attendance question.
Class comments
Answers
Answer:
5,625
Step-by-step explanation:
Take 4,500 and multiply that by .25 then take that number and add the 4,500 back to it.
A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?
Answers
Answer:
Length 6, Width 2
Step-by-step explanation:
6x2 = 12 = Area
6+6+2+2= 16 = Perimeter
Answer: A. 2 ft by 6 ft
Step-by-step explanation: I took the test and got it right.
Explain how you could use less than or equal to and greater than or equal to in a real-life scenario.
Answers
Answer:
Businesses: to control inventory, plan production lines, produce pricing models, and for shipping/warehousing goods and materials.
Step-by-step explanation:
Hope this is helpful
Jim is entering kennywood with 5 of his friends. At the gate they must go through a turnstile one at a time. How many ways can Jim and his friends go through the turnstile
Answers
Answer:
6 ways
Step-by-step explanation:
The total number of people we have entering Kennywood is 6, since it’s Jim with 5 of his friends.
Now, we can only have movement through the game one at a time
The number of ways they can move through the gate one at a time is 6C1 ways
and that is mathematically;
if we are to select a number of r items from a total of n, the number of combinations or ways is;
nCr = n!/(n-r)!r!
Applying these to the problem at hand, we have
6!/(6-1)!1! = 6!/(5!)(1!) = (6 * 5!)/5! = 6 ways
3. If the distance between P(-2, 3a - 4) and Q(-2, 5a - 2) is 12 units, find the possible values of a.
Answers
Answer:
a=5
Step-by-step explanation:
2a+2=12
2a=10
a=5
[tex]\frac{3}{5} x-\frac{1}{3} x=x-1[/tex]
Answers
Answer:
As an improper fraction: [tex]15/11[/tex]
As a mixed number: [tex]1 \frac{4}{11}[/tex]
As a decimal: 1.36
Step-by-step explanation:
[tex]3/5x - 1/3x = x - 1[/tex]
Find a common denominator between 5 and 3 (15)
[tex](3 * 3) / 15x - (1 * 5) / 15 = x - 1[/tex]
[tex]9/15x - 5/15 = x - 1[/tex]
Subtract the fractions
[tex]4/15x = x - 1[/tex]
Subtract x from both sides of the equation
[tex]-11/15x = -1[/tex]
Multiply both sides of the equation by 15/-11 to simplify
x = 15/11
Hope this helps :)
Answer:
Exact Form:
x = 15/11
Decimal Form:
x = 1.36
Mixed Number Form:
x = 1(4)/(11)
Step-by-step explanation:
(3)/(5)x-(1)/(3)=x-1
Simplify (3)/(5)x-(1)/(3)x
(4x)/(15)=x-1
Move all terms containing x to the left side of the equation.
-(11x)/(15)=-1
Multiply both sides of the equation by -(15)/(11)
-(15)/(11)(-(11)/(15))= -(15)/(11) . -1
Simplify both sides of the equation.
(15)/(11)
The result can be shown in multiple forms.
Exact Form:
x = 15/11
Decimal Form:
x = 1.36
Mixed Number Form:
x = 1(4)/(11)
Evaluate the expression 7a² - 3b³ when a) a= 4, b= -2 b) a= -8, b=5
You will end up with 2 answers here, substitute and solve.
Answers
Answer
Step-by-step explanation:
7a²-3b²
Replace a=4, b=2
7*4²-3*2²
= 112-12
= 100 first answer
7a²-3b²
Replace a=8, b=5
7*8²-3*5²
448-75
= 373 second answer
define composite figure
Answers
Answer:
A figure or shape that can be divided into more than one of the basic figures, which is said to be a composite figure.
Solve for x.
Your answer must be simplified.
-3
Answers
Answer:
x > 7
Step-by-step explanation:
-3 < x - 10
Subtract x from both sides.
-x - 3 < -10
Add 3 to both sides.
-x < -7
Divide both sides by -1. Remember that when you multiply or divide both sides of an inequality by a negative number, the inequality sign changes direction.
x > 7
⎩ ⎪ ⎪ ⎨ ⎪ ⎪ ⎧ b(1)=−2 b(n)=b(n−1)−7 Find the 3 rd 3 rd 3, start superscript, start text, r, d, end text, end superscript term in the sequence.
Answers
Answer:
-16
Step-by-step explanation:
Given the sequence:
b(n)=b(n−1)−7, where b(1)=−2
b(2)=b(2−1)−7
=b(1)−7
=-2-7
b(2)=-9
Therefore, the 3rd term of the sequence
b(3)=b(3−1)−7
=b(2)-7 (Recall b(2)=-9 from above)
=-9-7
b(3)=-16
The 3rd term of the sequence is -16.
Answer:
-16
Step-by-step explanation: