Answers
Answer:
Limit does not exist at x=3.
Step-by-step explanation:
Using the given graph, we need to check whether the limit exists or not.
From the given graph it is clear that
1. When x approaches to 3 from the left side then function approaches to -1.
2. When x approaches to 3 from the right side then function approaches to -3.
3. When x=3, the value of function is 7.
So, we conclude that
[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]
[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]
[tex]\lim\limits_{x\to 3}f(x)=7[/tex]
Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.
Related Questions
Tony need 16 inch long pieces of gold chain to make each 3 necklaces. He has a peice of chain that is 4 1/2 long. How much chain will he have left after making the necklaces
Answers
Answer: 6 inches of chain will he have left after making the necklaces
Step-by-step explanation:
There is a missing information. The correct question is:
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces.
Solution
We would convert 4.5 feet to inches
1 foot = 12 inches
4.5 feet = 4.5 × 12 = 54 inches
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. It means that the number of the 16 inches pieces of gold chain that can be gotten to make each of 3 necklaces necklaces is 16 × 3 = 48
The length of chain left chain that will he have left after making the necklaces is
54 - 48 = 6 inches
The equation y minus 3 = negative 2 (x + 5) is written in point-slope form. What is the y-intercept of the line?
–13
–7
2
8
Answers
Answer:
(B)
Step-by-step explanation:
We have the equation:
[tex]y-3=-2(x+5)[/tex]
Convert into Slope Intercept Form:
[tex]y-3=-2(x+5)[/tex]
[tex]-2*x=-2x\\-2*5 = -10[/tex]
[tex]y-3=-2x-10[/tex]
[tex]y-3+3=-2x-10+3\\\boxed {y=-2x-7}[/tex]
Slope-intercept form is [tex]y=mx+b[/tex].
Since '-7' is in the 'b spot', the y-intercept of the line would be -7, or option B.
Option B should be the correct answer.
Answer:
y intercept is -7
Step-by-step explanation:
y - 3 = -2 (x+5)
This is point slope form
We want to get this to slope intercept form
y=mx+b where m is the slope and b is the y intercept
Distribute
y-3 = -2x-10
Add 3 to each side
y-3+3 = -2x-10+3
y = -2x-7
The slope is -2 and the y intercept is -7
7) The senior classes at High School A and High School B planned separate trips to
Yellowstone National Park. The senior class at High School A rented and filled 2 vans
and 7 buses with 407 students. High School B rented and filled 1 van and 7 buses with
389 students. Every van had the same number of students in it as did the buses. How
many students can a van carry? How many students can a bus carry?
Answers
Answer:
Number of students in each van = 18
Number of students in each bus = 53
Step-by-step explanation:
Given: The senior class at High School A rented and filled 2 vans and 7 buses with 407 students.
High School B rented and filled 1 van and 7 buses with 389 students.
Also, every van and the van had the same number of students in it.
Solution:
Let x denotes number of students in each van and y denotes number of students in each bus.
According to the given information,
[tex]2x+7y=407\,\,\,(i)\\x+7y=389\,\,\, (ii)[/tex]
From (ii), put [tex]x=389-7y[/tex] in (i)
[tex]2(389-7y)+7y=407[/tex]
[tex]778-14y+7y=407\\778-407=7y\\7y=371\\y=\frac{371}{7}=53[/tex]
Put [tex]y=53[/tex] in [tex]x=389-7y[/tex]
[tex]x=389-7(53)\\=389-371\\=18[/tex]
Number of students in each van = 18
Number of students in each bus = 53
20 + 27x + 9x^2 = (?) (3x + 5)
Answers
Answer:
(3x + 4)
Step-by-step explanation:
9x²+27x+20 can be factored out to (3x + 4)(3x + 5)
CAN SOMEONE PLEASE HELP ME???
Answers
Step by Step explanation
Answer:
F
Step-by-step explanation:
You need to know the number of people to calculate the amount of dishes
An element with a mass of 930 grams decays by 15.6% per minute. To the nearest tenth of a minute, how long will it be until there are 70 grams of the element remaining?
Answers
Answer:15.3
Step-by-step explanation:
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answers
Answer:
Length of x ⇒ ( About ) 11.5; Option C
Step-by-step explanation:
~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~
1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.
2. By Pythagorean Theorem ⇒
6.2^2 + x^2 = 13.1^2,
38.44 + x^2 = 171.61,
x^2 = 133.17
Length of x ⇒ ( About ) 11.5
Easiest question in the world
Topic: Multiplying and dividing fractions
Provide steps
Focus on question 21
Answers
Answer:
I believe the answer is 7 and a half days
Step-by-step explanation:
15* [tex]\frac{1}{2}[/tex]= 7.5
If you take the 15 and multiply it by the [tex]\frac{1}{2}[/tex] you will get 7.5. Even if you divide the 15 by
Apologies if this is wrong. But I think this is the answer.
Hope I could help :)
Answer:
30 days
Step-by-step explanation:
1 day : ½
x days : 15
x/15 = 1/½
x/15 = 2
x = 30
A rectangle has a height of 2x^4and a width of x^2+8x+15x
Answers
Answer:
2x⁶ + 16x⁵ + 30x⁴
Step-by-step explanation:
area of rectangle with height 2x⁴ and width x²+8x+15
area = height x width
2x⁴( x²+8x+15)
2x⁴( x²) +2x⁴(8x)+ 2x⁴(15)
2x⁴⁺² + 16x⁴⁺¹ + 30x⁴
2x⁶ + 16x⁵ + 30x⁴
the area of the rectangle in polynomial which is in standardised form is 2x⁶ + 16x⁵ + 30x⁴
Please Help Look at photo for question.
Answers
Answer:
The second answer choice from the top
Step-by-step explanation:
The formula for the circumference of a circle is [tex]\pi \cdot d[/tex], where d is the diameter of the circle. In this case, this means that the circumference of the circle is [tex]17\cdot 3.14=53.38[/tex], or answer choice B. Hope this helps!
Answer:
C. 53.4cm
Step-by-step explanation:
Circumference= 2 x Pi x radius
53.38 or 53.4= 2 x 3.14 x 8.5
Mario writes the equation (x+y)2=z2+4(12xy)(x+y)2=z2+4(12xy) to begin a proof of the Pythagorean theorem.
Use the drop-down menus to explain why this is a true equation.
Answers
Answer:
Step-by-step explanation:
( x + y ^)2 finds the area of the outer square by squaring its side length.
z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.
Answer:
1) (x+y)^2
2) z^2+4(1/2xy)
Step-by-step explanation:
( x + y )^2 finds the area of the outer square by squaring its side length.
z² + 4( 1/2xy ) finds the area of the outer square by adding the area of the inner square and the four triangles.
Referring to the table below, What is the probability of a student in the marching band being either female or a senior?
Answers
Answer:
a.
Step-by-step explanation:
P(F or S) = P(F) + P(S) - P(F & S)
= 0.46 + 0.22 - 0.12
= 0.56
Why is it that people are fake? Need answer ASAP will mark brainlist
Answers
Answer:
They feel like they are superior to you, and think that you won't find out that they are bein fake.
Step-by-step explanation:
It's either that or they just want people to like them, so they become fake in order to fit into society.
what is 80=-20b? plz help
Answers
Answer:
b=-4
Step-by-step explanation:
80=-20b
If you divide -20 from both sides, you get -4=b. That's the answer.
PLZ MARK BRAINLIEST!!!
Answer:
-4
Step-by-step explanation:
80= - 20b
divide both by -20
that gives us -4=b
so, b= -4
Have a great day
Leslie found the volume of a cone having both a height and diameter of 12 inches. Her work is shown below.
(attached)
Analyze Leslie’s work. Is she correct? If not, what was her mistake?
Yes, she is correct.
No, the radius is twice the diameter, so she needed to multiply by two instead of dividing.
No, the value of 62 is 6 times 2, or 12.
No, she forgot to take one-third of the base area times height.
Answers
The answer is D! (I think we have the same curriculum lol)
Answer:
d
Step-by-step explanation:
Write the equation of the circle graphed
below.
Answers
Answer:
(x-1)^2+(y-2)^2=6.25
Step-by-step explanation:
Origin: (1, 2)
Radius: 2 1/2
(x-1)^2+(y-2)^2=2.5^2
(x-1)^2+(y-2)^2=6.25
Answer: ( x - 1 )^2 + ( y - 2 )^2 = 6.25
Step-by-step explanation:
Find the 96th term of the arithmetic sequence
-3, -14, -25, ...
Answers
Answer:
-1059
Step-by-step explanation:
Katelyn, this is super easy to understand.
Anyways, to find the 96th term of the sequence, first subtract -14 and -3. You may be thinking it is -17, but it is not. -17 is only if you are subtracting -14 and 3.
(-14) - (-3) = -14 + 3 = -11.
That means the difference between each number is -11.
Now all you have to do is take the -11 and multiply it by 96, which is -1056. Then, add the -1056 to -3, which is -1059. That should be your answer.
Your school may have taught you a different way, but this is my way.
what is the pythagorean identity
Answers
Answer:
The most common trigonometric identities are those involving the Pythagorean Theorem...
Step-by-step explanation:
The Pythagorean trigonometric identity, also called the fundamental Pythagorean trigonometric identity or simply Pythagorean identity is an identity expressing the Pythagorean theorem in terms of trigonometric functions..
What are the solution(s) to the quadratic equation 40 - x2 = 0?
O x = +2/10
O x = +4/10
O x = +2V5
O x = +4/5
Answers
Answer:
[tex]x=\pm2\sqrt{10}[/tex]
Step-by-step explanation:
You want to solve ...
[tex]40 -x^2=0\\\\40=x^2\qquad\text{add $x^2$}\\\\\pm\sqrt{40}=x\qquad\text{take the square root}\\\\\boxed{x=\pm2\sqrt{10}}\qquad\text{simplify}[/tex]
Each brick is 13 inches long,5 inches wide,and 4 inches tall.of they used 11,700in3 of concrete how many Bricks did they make.
Answers
Answer:
45 bricks
Step-by-step explanation:
- With the knowledge of the 11,700 in^3 being used. We would need to have the measurements of the brick in that form as well. So in order to find the volume, we must multiply all sides. (13*5*4) = 260 in^3
- Now we have both numbers, we can just divide 11,700 by 260. This will give us 45. Meaning that 45 bricks are made.
Order the numbers from least to greatest
1/4
π
Square root symbol-19 , -5 , 2.5
Answers
Answer:
13) -5, 1/4, [tex]\pi[/tex], [tex]\sqrt{19}[/tex]
14) -[tex]\sqrt{11}[/tex], -2, 0, 2 1/2
Juliet is standing on the balcony 44 above the ground. She is looking at Romeo at an angle of depression of 6 degrees. if both star-crossed lovers were holding the end of a strong, what would the length of the string be?
Answers
Answer:
length of string ≈ 421 units (nearest whole number)
Step-by-step explanation:
Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.
The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,
using sin ratio
sin 6° = opposite/hypotenuse
sin 6° = 44/length of string
cross multiply
length of string sin 6° = 44
divide both sides by sin 6°
length of string = 44/sin 6°
length of string = 44/0.10452846326
length of string = 420.937978274
length of string ≈ 421 units(nearest whole number)
Last summer, 54,849 people went on a vacation. This year it is expected that an additional 9,499 people will take a summer vacation. How many people will be taking a summer vacation in all?
Answers
Answer:64,348
Step-by-step explanation:
please make brainliest
What is the area of the triangle 4,3,5
Answers
Please mark brainliest :]
Answer:
60
Step-by-step explanation:
first you have to multiply the the base times the height which in this problem its 4 and 3 then you get 12 area sq feet after all that you must multiply the width or 3rd number to get your finale answer that in this case is 60.
A cylinder has a height of 9 cm and a radius of 10 cm. What is the surface area of the
cylinder in terms of r?
380 cm
2007 cm
0342 cm
280 cm
Please HELPPPP
Answers
Answer:
Step-by-step explanation:
What is the area of the shaded region
Answers
Answer:
397.16
Step-by-step explanation:
Area of a circle: (3.14)r^2
(3.14)(12)^2
(3.14)(144)
=452.16
452.16-(11*5)
452.16-55
=397.16
ANSWER SOON PLS!!!!!
Which of the following is a false statement?
A
The numbers we use today came from Arabic numerals.
B
Muslim doctors knew about hygiene and blood circulation.
C
There were no mosques on the African continent.
D
Muslim scientists developed a device that allowed sailors to navigate by the stars.
Answers
Answer:
The answer is C There were no mosques on the African continent.
Step-by-step explanation:
CAN SOMEBODY GIVE A QUICK ANSWER
Answers
Answer:
A. 112
Step-by-step explanation:
3x+22+2x+8 = 180
5x+30 = 180
5x = 150
x= 30
3(30)+22 = 112
I need to figure this out TODAY!!!!
Answers
Answer:
Hello, I think your answer is D, Third Move
Step-by-step explanation:
If its correct tell me
the quotient of a number and 3 is 8
Answers
Answer:
The number is 24
Step-by-step explanation:
The quotient is the answer of a division problem. If a number is divided by 3 and the answer is 8, then the number would be 24. You could set it up into an equation.
x/3=8
then you multiply both sides by 3 and you will get
x=24
The quotient is indeed the number generated by dividing one integer by the other. Whenever a fraction is simplified, the division is the whole amount that results.
The quotient is the solution to a division issue. Whenever a number is divided by three and the answer is eight, the amount is twenty-four.Calculation of the equation:
[tex]\to \bold{\frac{x}{3}=8}\\\\\to \bold{x=8\times 3} \\\\\to \bold{x=24}[/tex]
Therefore, the final answer is "24".
Learn more:
brainly.com/question/17331426