Answers
Answer:
The function's behavior close to the vertical asymptote, x = 2 is;
[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]
Step-by-step explanation:
From the graph of the function. we have;
1) As 'x' approaches 2 from the left (x → 2⁻), the graph with 'u' shape located in the middle of the three graphs, approaches infinity (arrow pointing up)
2) As 'x' approaches 2 from the right (x → 2⁺), the graph with 'n' shape located at the right side of the three graphs, approaches negative infinity (-∞) (arrow pointing down)
Therefore, the function's behavior close to the vertical asymptote, x = 2 is given as follows;
[tex]\lim\limits_{x \to 2^-} f(x) = \infty[/tex] and [tex]\lim\limits_{x \to 2^+} f(x) = -\infty[/tex]
Related Questions
4. Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually-painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts. (f) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
Answers
Complete question :
Sarah, Toby, and their mother run an online store called Unique Bracelets that sells handmade bracelets consisting of unique, individually painted charms. Each bracelet they sell consists of 12 small charms and 5 large charms. Each order also gets 5 blank spacer charms to use to separate charms or fill in the bracelet. They do not sell charms separately and do not sell bracelets in parts.
(a) Write an equation showing the number of charms, y, needed for x bracelets purchased in an order. Describe what the equation means in a real-world context.
(b) Sarah’s and Toby’s mother says the order she is filling needs 158 charms. How many bracelets were purchased in this order?
(c) Toby says they don’t have enough charms to fill an order that needs 264 charms. Sarah says it’s notpossible for an order to need 264 charms. Is Sarah right? Why or why not? Justify your answer.
Answer:
y = 17x + 5 ;
9 bracelets ;
Sarah is right
Step-by-step explanation:
Contents per bracelet :
Small charms per bracelet = 12
Large charms per bracelet = 5
Blank spacer charms per order = 5
Number charms, y needed for X bracelets in an order ;
1 order ; x bracelets
12 + 5 = 17 small and large charms
5 = black spacer charms per order
y = 17x + 5
B.)
Order requiring 158 charms, number of bracelets :
y = 158
158 = 17x + 5
158 - 5 = 17x
153 = 17x
x = 153 / 17
x = 9 bracelets
Order requiring 264 charms
y = 264
264 = 17x + 5
264 - 5 = 17x
259 = 17x
x = 259 / 17
x = 15.23 bracelets
Sarah is right, the number of bracelets should be a positive integer and not a decimal.
the difference of 10 and a number is -2 what is the answer
Answers
Answer:
The answer is 8.
Step-by-step explanation:
This question can be written as the equation x-10=-2. With this equation in mind we can get straight ahead to solving. This is just a one-step equation and all we need to do to get our answer from this point is just add 10 to both sides using the addition property of equality and once we do that we have X=8.
Pls answer...thanks.
Answers
Use the property to complete the statement.
20. Reflexive Property of Equality: m2D = ?
21. Transitive Property of Congruence:
If PQ = RS and RS = TU, then ? =
Answers
Answer:
See step by step. Use the mathematical geometric symbols not the actual words.
Step-by-step explanation:
20. Measurement of angle D
21. PQ is congruent to TU
Find a solution to each equation without writing anything down. 2(x+1)=10
Answers
Answer:
4
Step-by-step explanation:
A circle has a circumference of 1{,}133.541,133.541, comma, 133, point, 54 units.
What is the diameter of the circle?
units
Answers
Answer:
can u give me the formula for this then i might be able to help
Step-by-step explanation:
Answer:
360.81
Step-by-step explanation:
i need help with these two due today plssss help me
Answers
Answer:
10. 264
11. 13
Step-by-step explanation:
10- When we are doing perimeter we add all the sides together. Since it's a square this time, we know all the sides are even at 66ft.
66+66+66+66= 264
I added 4 times for each side we have and we get the perimeter of 264
11- When dealing with area, all we need is two numbers. To get area we multiply the length and width. If we have the area and want either length or width, we can still easily do that. All we have to do is divide the area from your given number.
65 divided by 5 is 13
Area divided by Length is Width
Answer:
#10= 264
#11= 13
Step-by-step explanation:
#10: We can see that this is a square because it says so in the question so we can assume that if it is a square then all the lengths and widths are 66 feet. 4(66) = 264 or 66+66+66+66 = 264
#11: 65/5 = 13 because it is dealing with area, simply just divide the total of area by the known length to get the width.
For the salad bar, Channing must divide 8 bags of lettuce equally among 3 serving bowls. How many bags of lettuce would be in each serving bowl if they are divided equally?
Answers
Answer:
Number of bag filled in a bowl = 2.67 bags
Step-by-step explanation:
Given:
Number of lettuce bags = 8
Number of serving bowl = 3
Find:
Number of bag filled in a bowl
Computation:
Number of bag filled in a bowl = Number of lettuce bags / Number of serving bowl
Number of bag filled in a bowl = 8 / 3
Number of bag filled in a bowl = 2.67 bags
In slope-intercept form ?
Answers
Answer:
A) $5.5= 0.25(17)+0.05(n) where n = nickels
B) 25 nickels
Step-by-step explanation:
A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered. How much does the store charge for the one additional turkey sub?
Answers
Answer:
Seven dollars
Step-by-step explanation:
ILL GIVE BRAINLIEST PLS HELP ME
Answers
Answer:
1 and 4 come in yes and 2 and 3 come into no mark as brainliest
2,3 = no
hope i helped !
PLEASE HELP ITS DUE SOONNNNN
Answers
Answer:
1 is correct.
2 is incorrect.
3 is correct.
4 is correct.
5 is correct.
6 is incorrect.
Step-by-step explanation:
You're welcome, hope I helped.
PLZZZZZ HELP AND HURRRRRY!
Answers
Answer:
b
Step-by-step explanation:
Find the GCF: 12,24,36
Answers
Answer:
12 is the GCF..........
Answer:
12
Step-by-step explanation:
listing the factors
12 : 1, 2, 3, 4, 6, 12
24 : 1, 2, 3, 4, 6, 8, 12, 24
36 : 1, 2, 3, 4, 6, 9, 12, 18, 36
The common factors are 1, 2, 3, 4, 6, 12
The GCF is 12
how many minutes would it take rachel to jog 3 miles if she jogs 1/15 mile every minute
Answers
Answer:
3 mi * 15 min/mi = 45 min
Step-by-step explanation:
What's x? The question is in the picture
Answers
Answer:
8
Step-by-step explanation:
That little square means the angle between the L shape is 90 degrees.
This means that the two angles must add up to 90 degrees:
(6x+2)+(4x+8)=90
10x+10=90
10x=80
x=8
a right angle is 90 degrees. take both equations and put them together and add like terms.
10x + 10 = 90. subtract 10 from both sides.
10x = 80. divide by 10 on both sides.
x = 8
1/2{x-1/6}+2/3=5/6+1/3 (1/2-3x)
Answers
Answer:
I think it's correct but tell me if I'm wrong
86, 82, 78, 74 , what is the 40th sequence
Answers
Answer:
The numbers slowly decrease by 4 so we can determine that the 40th sequence is -70.
Step-by-step explanation:
There are 9 gallons of paint for the students to use to paint the fence outside of the schoolyard. Each student has a bucket that holds 1/3 gallon. How many buckets does the 9 gallons of paint fill?
Answers
Answer:
27 buckets.
Step-by-step explanation:
If we multiply the 9 gallons of paint by the denominator of the number of gallons that fit into one of the buckets we can discover the answer to the question.
Brainliest please.
Thomas has sixty-two cents. How much money is this?
$0.62
$6.02
$62
$6.20
Done →
Answers
Answer:
$0.62
Step-by-step explanation:
Answer:
$0.62 ......................
Do 4x and 15 + x have the same value when x is 5? How do you know?
Answers
Answer:
yes
Step-by-step explanation:
If x = 5,
4x=4*5=20
15+x=15+5=20
They're both the same.
Yes
Step-by-step explanation:
x = 5
4(5) = 15 + (5)
20 = 20
2x-7=8. find the value of x
Answers
x to the right side and solve.
So you would first Add 7 to both sides. 2x=8+7
Then simply 8+7 to 15 so 2x=15
Then Divide both sides by 2
To get x=15/2
Hope that helps
What is the value of x?
Answers
Answer:
X=14
Step-by-step explanation:
We know that both sides are congruent
so if the other angle is 7- then divide 70 by 5
Hope this helps ^-^
Step-by-step explanation:
step 1. a quadrilateral has 4 sides and 360° internally.
step 2. 70 + 5x + 110(2) = 360.
step 3. 5x = 70
step 4. x = 14.
A shop makes £2,750 in March. It has an Easter sale and the profit for April is £3,162.50 Work out the percentage increase
Answers
Answer: 15%
Step-by-step explanation:
From the question, we are informed that a shop makes £2,750 in March while it made £3,162.50 in April. The increase will be:
= £3,162.50 - £2,750
= £412.50
Percentage increase = £412.50/ £2750 × 100
= 15%
Which additional piece of information would allow you to
prove that the triangles are congruent by the HL theorem?
Answers
D - Line AC is congruent to line DF
Explanation:
Options A and B are definitely incorrect. And while lines AB and DE seem congruent, there is no congruency line in between to confirm that. So option C is incorrect.
As for option D, there is a congruency line in between that confirms they are both congruent.
Hope it helps. ^^
The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE
What is HL theorem?The HL Postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
Given that two triangles Δ ABC and Δ DEF,
To prove them congruent by HL Postulate, we need one more side to be congruent, as the hypotenuse of both are already congruent.
Therefore, the sides should be either BC ≅ FE or AB ≅ DE
In options, AB ≅ DE is given.
Hence, The additional piece of information would allow you to prove that the triangles are congruent by the HL theorem is AB ≅ DE
For more references on HL theorem, click;
https://brainly.com/question/3914939
#SPJ2
A mug is 1/3 full. The mug contains 5/6 of a cup of water. Find the capacity of the mug. Write the answer as a fraction or mixed number in simplest form.
I need this Asap :)
PLS and THANK YOU
Answers
Answer:
answer is 15/6 or 2 and 1/2 cups
Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices
y is independent and x is dependent
x is independent and y is dependent
both x and y are independent
both x and y are dependent
Answers
Answer:
A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.
PLEASE HELP IT WOULD BE VERY MUCH APPRECIATED! Last year, James earned £1,600 per month.
This year, he's had a 2% increase in his monthly pay.
He worked 35 hours per week for 46 weeks in the year.
What is James' average pay per hour this year?
Give your answer to 2 dp.
Answers
Explanation:
1) Work out 2% of £1600:
1600 x 2/100 =36
2) Add it on to the original number to get his new monthly pay:
1600 + 36 = £1636
3) Work out his yearly pay by:
a) finding the amount of months he worked:
46 / 4 = 11.5 months
b) Divide 11.5 into 2 bits and add them on:
1636 x 11 = 17997
1636 x 0.5 = 818
17997 + 818 = £18814
4) To get his pay per week:
18814 / 46 = £409
5) Finally, to get his pay per hour:
409 / 35 = 11.68671...
= £ 11.69
Answer:
Your answer is
12$ per hour
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Which angles and sides must be congruent to each other? Select three that apply.
Answers
Mr. Petersons rectangular garden had a width of 3 meters and an area of 10 square meters. This year he wants to make the garden three times as long and two times as wide? What are the the measurments of this years garden?
Answers
Answer:
Measurements of this years garden are 10 meters and 6 metres.
Step-by-step explanation:
Width of a rectangular garden = 3 meters
Area of a rectangular garden = 10 square meters
Also,
Area of a rectangular garden = length × breadth
10 = length × 3
Length = [tex]\frac{10}{3}[/tex] meters
Mr. Petersons wants to make the garden three times as long and two times as wide.
New length = 3 (length) = [tex]3(\frac{10}{3} )=10[/tex] meters
New breadth = 2(width) = 2(3) = 6 meters.
Therefore,
Measurements of this years garden are 10 meters and 6 metres.