Use the given graph to determine the limit, if it exists. Find limit as x approaches three from the left of f of x. Please include an explanation in your answer, I don't really understand limits so I'll give brainliest to the best explanation.
Answers
Answer:
[tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]
General Formulas and Concepts:
Calculus
Limits
Right-Side Limit: [tex]\displaystyle \lim_{x \to c^+} f(x)[/tex]Left-Side Limit: [tex]\displaystyle \lim_{x \to c^-} f(x)[/tex]Graphical Limits
Step-by-step explanation:
As we approach 3 from the left according to the graph (follow the left graphed line), we see that we approach -1.
∴ [tex]\displaystyle \lim_{x \to 3^-} f(x) = -1[/tex]
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Related Questions
Write a corresponding real-world problem for each equation.
1. 0.55x + 4.50 = 0.65x + 3.50
2. 8x + 80 = 4x + 120
Answers
Answer:
It is 2 because it is a math question with the factors on the multipulcation
Step-by-step explanation:
How is making a ten to add the same as making a ten to subtract? How is it different?
Answers
Answer:
when adding a ten the number goes higher but when subtracting ten the number is lower than the original number
Step-by-step explanation:
for example :
20+10= 30 ( its greater )
90-10=80( is lower )
convert 35 kg into lb, then round it to two decimal places
Answers
Answer:
77.16 lbs
:)))))))))))))
CR 3
Part A: Which sentence about integers is NOT ALWAYS TRUE (1 point)
A. positive -positive = positive
B. positive + positive = positive
C. negative + negative = negative
D. positive - negative = positive
Answers
Answer:
A. positive -positive = positive
The heat in the house is set to keep the minimum and maximum temperatures (in degrees Fahrenheit) according to the equation |x – 72.5| = 4. What are the minimum and maximum temperatures in the house? 72.5°F and 76.5°F 68.5°F and 76.5°F 70.5°F and 74.5°F 72.5°F and 74.5°F
Answers
Answer:
The minimum and maximum temperatures in the house are 68.5°F and 76.5°.
To keep the house in heat, the minimum and maximum temperature is set to option 68.5°F and 76.5°F.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
The equation |x – 72.5| = 4.
The minimum and maximum temperatures can be found by substituting +4 and -4 in x.
Minimum temperature,
⇒ [tex]|+4-72.5|=|-68.5|[/tex]
⇒ [tex]68.5[/tex]
Maximum temperature,
⇒ [tex]|-4-72.5|=|-76.5|[/tex]
⇒ [tex]76.5[/tex]
Hence we can conclude that to keep the house in heat, the minimum and maximum temperature is set to option 68.5°F and 76.5°F.
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if f(x)= {2 for x>0, 0 for x=0, , then what is the value of -2 for x<0, f(7)-f(-4)?
Answers
Are you sure you've written the problem right...it says x can not equal 0 or 1
Answer:
C -2,1 or 3 0nly
Step-by-step explanation:
Just did it mark it brainliest
Can somebody please solve these thank you!
Answers
Answer:
1/2(-1/3)=-1/6
-2/5(-5/9)=2/9
-3/4(8/9)=-2/3
Answer:
1/2 multiplied by (-1/3)=-1/6 or 0.166666667
-2/5 multiplied by (-5/9)=2/9 or 0.222222222
-3/4 multiplied by 8/9=2/3 or 0.666666667
you just multiply.
A projectile is launched from ground level with an initial velocity of 89 ft/sec. It's height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0. a) Fine the time(s) the projectile will reach a height of 100 feet. b) find the time it takes the projectile to hit the ground
Answers
Answer:
Step-by-step explanation:
Initial Velocity of projection = 89ft/sec
height(ft), t seconds after launching is given by s=-16t^2 + v0t + s0
A) time the projectile will reach a height of 100 ft
s=-16t^2 + v0t
v0 = 89ft/sec
s = 100ft
100 = - 16t² + 89t
-16t² + 89t - 100 = 0
Using the online quadratic equation solver;
t = 4s or t = 1.5625
Fill in the blanks to complete the equation that describes the diagram.
Answers
Answer:
-1+7 =-7
Step-by-step explanation:
That’s the answer.
Jamie will choose between two catering companies for an upcoming party. Company A charges a set up fee of $500 plus $25 for each guest. Company B charges a set up fee of $200 dollars plus 30per guest. How many guests are need where the price is equal
Answers
Answer:
60 guests
Step-by-step explanation:
We'll say that the number of guests is n.
We're looking for the n where both of these expressions are equal:
Company A (500 set-up fee, 25 for each guest)
500 + 25 * n
Company B (200 set-up fee, 30 for each guest)
200 + 30 * n
500 + 25n = 200 + 30n
Subtract 200 from both sides.
300 + 25n = 30n
Subtract 25n from both sides.
300 = 5n
We'll reverse the sides.
5n = 300
Divide both sides by 5.
n = 300/5 = 60
Thus, both companies are equal when n is 60, or when there are 60 guests.
Mr. Monasterio ran to The Burrito Barn at 10mph. He ate too many burritos and slowed to 6 mph on the way home. Find the time going to The Burrito Barn if the time coming back took 2 hours more than the time going. Don't forget to include units.
Answers
Answer:
it was 3 hours
Step-by-step explanation:
the thing said so
A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is 36 18 288 5
Answers
Answer:From the statement above, we can say that there is a direct relationship between the number of sheets used to the number of cans that can be made. That is, # of sheets is directly proportional to # of cans. We make an equation as follows:
let y = # of sheets
x = # of cans
y = kx where k is the proportionality constant
Assuming linear relationship of the two, we can use either data point as follows:
y = kx
2 = k(36)
k = 1/18
Therefore, the proportionality constant is 1/18.
Step-by-step explanation:
you can transform 4x + 12 = 9x - 3 again into a simpler form by subtracting 4x form both sides to get 12 = 5x - 3, if you subsitute 3 for x in 12 = 5x - 3, do you still get a true statement
Answers
Answer: Yes you will still get a true statement because 3 is the solution to the equation.
Step-by-step explanation:
Well substitute 3 for x into the equation and solve for to see if they equal each other.
12 = 5(3) - 3
12 = 15 - 3
12 = 12
So if you substitute 3 you get the solution .
Now solve for x in the real equation to see if you get 3.
4x + 12 = 9x -3
-4x -4x
12 = 5x -3
+3 +3
15 = 5x
x = 3
Simplify -4 1/6 - -6 1/3 Which of the following is correct?
Answers
Answer:
its 2 1/6 (B)
Step-by-step explanation:
Miss Lawrence buys 8 ounces of smoked salmon at $17.98 per pound. How much money
does Miss Lawrence spend on the smoked salmon?
Answers
Answer:
1 pound = 16 ounces
She bought 8 ounces, which is 0.5 pounds. Just multiply the number of pounds she bought by the price per pound.
(0.5 pounds)($17.98 per pound) = $8.99
Step-by-step explanation:
Answer: 8.99
Step-by-step explanation:
You flip a fair coin until you see three tails in a row. What is the average number of headsthat you’ll see until gettingTTT?
Answers
Answer:
14
Step-by-step explanation:
From the given information:
suppose, Y is the number of times a coin is being flipped.
If the coin is flipped for the first time and we get H, then we have:
TTT = [tex]\dfrac{1}{2}(Y+1)[/tex]
Afterward, if we get H, then we waste two times plus the probability of this event [tex]\dfrac{1}{4}[/tex].
Therefore, we have : [tex]\dfrac{1}{4}(Y+2)[/tex]
Afterward, if we get H, then we waste three times plus the probability of this event [tex]\dfrac{1}{8}[/tex].
Therefore, we have : [tex]\dfrac{1}{8}(Y+3)[/tex]
If we got T at the third time, then;
T = [tex]\dfrac{1}{8}(3)[/tex]
Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:
[tex]= \dfrac{1}{2}(Y+1)+ \dfrac{1}{4}(Y+2)+ \dfrac{1}{8}(Y+3)+ \dfrac{1}{8}(3)[/tex]
= 14
4. Ariel loves to go to baseball games. This season she has already attended 23 New York Ducks games. If
Ariel attended nine more weekend games than weekday games, how many weekday games did she attend.
Answers
Answer: She attended to 7 weekday games.
Step-by-step explanation:
Let's denote our variables as:
Wd = number of weekday games that she attended.
We = number of weekend games that she attended.
We know that in total, she attended to 23 games, so we have:
Wd + We = 23.
"If Ariel attended nine more weekend games than weekday games" can be written as:
We = Wd + 9.
Then we have the system of equations:
Wd + We = 23.
We = Wd + 9.
The first step would be to replace the second equation into the first one, as:
Wd + We = 23.
Wd + (Wd + 9) = 23
Now we can solve this for Wd.
2*Wd + 9 = 23
2*Wd = 23 - 9 = 14
Wd = 14/2 = 7
She attended to 7 weekday games.
And:
We + 7 = 23
We = 23 - 7 = 16
She attended at 16 weekend games.
PLZ HELP ASAP! ANSWER ALL FOR BRAINLIEST
Answers
Answer:
4.
-building
-artisting
-selling
-making good
-trading
-farming
5. "Being settled meant being tied to land and possessions; being nomadic meant having a mobile community with a mobile food supply. This allowed nomads to attack and plunder resources. They could gain access to agricultural products without having to farm or trade."
6. " They were also trained in riding and archery, as they sometimes had to defend their communities from outsiders. Women’s graves sometimes contained weapons, suggesting they had a role in military life as well."
Step-by-step explanation:
The number of hours a group of 12 children in Mrs. Smith's kindergarten class read in a day.
Answers
Answer:
30 minuetes because their brain can take so many
Step-by-step explanation:
Find a general solution. Show the steps of derivation. xy'=y+2x³sin²y/x (Set y/x=u)
Answers
Answer:
y = 2 tan(2x + c) - 4x
Step-by-step explanation:
See the attachment for the derivation and integration
7.08x10^-4 in standard notation
Answers
Answer:
It's supposed to be 7.0800.
Step-by-step explanation:
Since it's 10 to the power minus 4 you'll have to count 4 places after the decimal point, so it'll be 7.0800
Answer:
0.000708
Step-by-step explanation:
you move the decimal 4 times to the left since the notation is negative. If the notation was positive, you would move it to the right.
Can i have the brainliest, please?
A student winds a strip of paper eight times round a cylinderical pencil of diameter 7mm. Use the value 22/7 for the to find the length of the paper( ignore the thickness of the paper)
Answers
...............
As per the circumference of a circle, the length of the paper is 176 mm.
What is the circumference of a circle?The circumference of a circle is the total arc length of it.
The diameter of the pencil is(d) 7 mm
Therefore, the radius of the pencil is(r)
[tex]= \frac{d}{2} \\= 7/2 mm\\= 3.5 mm[/tex]
Now, the circumference of the cross-section of the pencil is
[tex]= 2[/tex](π)r units
[tex]= (2) (22/7) (3.5) mm\\= 22 mm[/tex]
Therefore, the length of the paper is
= (circumference of the cross-section of the pencil) × 8 units
[tex]= (22) (8) mm\\= 176 mm[/tex]
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Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?
Answers
Answer:
i think it would be a.
Step-by-step explanation:
Answer:Gena and her friends each estimated the quotient of –137.56 divided by –6.12 using compatible numbers. Which shows the best estimate using compatible numbers?
Negative 140 divided by negative 7 = 20
Negative 140 divided by 6 = 23.ModifyingAbove 3 with bar
Negative 135 divided by negative 7 = 22.5
Negative 135 divided by negative 5 = 27
Step-by-step explanation: The answer is A because it is showing the right way to do the step
For what values of x will the result of 5 x be greater than 1?
Answers
Answer:
2&3
Step-by-step explanation:
2+3=5 or 3+2=5
You can continue on but you would need to use one and these are the two that are greater than 1 but make up 5.
The values of x for which the result of 5 x be greater than 1 would be 2 and 3.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
WE need to find the values of x for which the result of 5 x be greater than 1
WE can have that as;
2+3=5
or
3+2=5
Also we can continue on but we would need to use one and these are the two that are greater than 1 but make up 5.
Therefore, the values of x for which the result of 5 x be greater than 1 would be 2 and 3.
Learn more about the unitary method;
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What is 2.5 × 15.625
Answers
Answer:
39.0625
Step-by-step explanation:
Answer:
39.0625
Step-by-step explanation:
Kelly works 8 hours less than three times as much as Marcy works for the week. Which expression represent
the number of hours Kelly works in relation to Marcy.
Answers
Answer:
X= 3y-8
Where
X represent hours worked by Kelly
Y represent hours worked by Marcy
Step-by-step explanation:
Kelly works 8 hours less than three times as much as Marcy works for the week.
Let the number of hours worked by Kelly= x
Let the number of hours worked by Marcy= y
X= 3y-8
write the sentence as a equations
the product of 248 and a is 391
Answers
Answer:
248*a=391
Step-by-step explanation:
Community Gym charges a $55 membership fee and a $40 monthly fee. Workout Gym
charges a $125 membership fee and a $30 monthly fee. How many months will it take for
the cost of both gyms to be the same? and what is the cost of the gyms during that number
of months?
Answers
Jennifer paid $13.37 for a pack of 12 pairs of sport socks. What was the price of a pair of sport socks
Answers
Answer:
Each pair of socks cost around $1.11 excluding taxes.
Step-by-step explanation:
To find how much it costs for one pair of socks, divide the cost with how many pairs there are.
13.37/12 = 1.11426...
Since we are determining the cost of each pair of socks, it's only justifiable if we round it to the nearest hundredths.
Therefore, a pair of socks cost around $1.11 excluding taxes.
solve the given triangle by finding the missing angle and other side lengths.
Answers
Answer: The missing angle (B) is 22 degrees
Step-by-step explanation:
a triangle in general is 180 degrees. You take the angles given
A(18) + B + C(140) = 180
Subtract A and C from each side and end up with B = 22 degrees.