Answers
The limit does not exist at the jump discontinuity at x = -2.
From the left, the green-ish curve approaches 4; from the right, the orange curve approaches 6. These one-sided limits are not equal, so the two-sided limit does not exist.
A limit of a function does not exist at a point x is the limit of f(x) approaching x to the left is different of the limit of f(x) approaching x to the right.
Using this concept, we find that the limit does not exist at c = -2.
Points we need to verify:
Points in which there are changes in the definition of the function, which are:
x = -4, -2, 2, 4
At x = -4
The definitions are bunched together, so the lateral limits are the same, and the limit exists.
At x = -2
As the function approaches x = -2 to the left(x < -2), its value is close to 4, so the limit is 4.
As the function approaches x = -2 to the right(x > -2), its value is close to 6, so the limit is 6.
Since the lateral limits are different, for c = 2, the limit does not exist, and this is the correct answer.
At x = 2
The lateral limits are the same, the only thing that changes is the definition of the function at x = 2, which does not affect the limit, which exists.
At x = 4
The definitions are bunched together, so the lateral limits are the same, and the limit exists.
For more on lateral limits, you can take a look at https://brainly.com/question/23405626
Related Questions
identify the domain and range of the relation
{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)
Answers
Answer:
So, the domain are:
[tex]x = 4,1,0,-1[/tex]
The range are:
[tex]y = 2,3,0,-1,-3[/tex]
Step-by-step explanation:
Given:
[tex]\{(4, 2), (1, 3), (0, 0), (-1, -1), (1, -3)\}[/tex]
Required
The domain and the range
In relation, we have:
[tex]\{(x_1, y_1), (x_2, y_2), ......, (x_n, y_n)\}[/tex]
Where the x values are the domain and the y values represent the range.
So, the domain are:
[tex]x = 4,1,0,-1[/tex]
The range are:
[tex]y = 2,3,0,-1,-3[/tex]
Use the equation √4x+15 - 3√x How many potential solutions are there?
Answers
Answer:
potential solutions- 1
extraneous solutions- 0
solution to equation- x=3
Step-by-step explanation:
Suppose you go to a company that pays 0.05 for the first day, 0.1 for the second day, 0.2 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 30 days ?
Total Income =
Answers
Answer:
I think the correct answer is $26,843,545.6
Step-by-step explanation:
pls i need help with this math question what is 17 - 12
Answers
Hope this Helps!
Can someone please solve this for me btw I’m suppose to be dividing that question using long division
Answers
Answer:
0.343
Step by step explanation:
0. 3 4 3
8 2. 7 5 0
− 0
2 7
− 2 4
3 5
− 3 2
3 0
− 2 4
6
Need help with all them, state how you know also
Triangle Congruency
Answers
Answer
where is the pdf?
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
Answers
Answer:
D
Step-by-step explanation:
Answer:
[tex]\boxed {\boxed {\sf D. \ 64x^{12}y^6z^2}}[/tex]
Step-by-step explanation:
This is an example of a power to a power. The exponents inside the parentheses are being raised to another power outside the parentheses. We multiply the exponents and take the coefficients (number in front of the variables) to the power.
[tex](8x^6y^3z)^2[/tex]
Remember that a variable without an exponent has an implied exponent of 1.
[tex]8^2x^{6*2}y^{3*2}z^{1*2}[/tex]
Solve the coefficient's exponent.
8²= 8*8= 64[tex]64x^{6*2}y^{3*2}z^{1*2}[/tex]
Multiply the exponents.
[tex]64x^{12}y^{6}z^{2}[/tex]
So, the expression given is equal to Choice D: 64x¹²y⁶z²
Pie belongs to which number set?
What is the value of up to the hundred-thousandths place?
Answers
9514 1404 393
Answer:
irrational numbers3.14159Step-by-step explanation:
Pi is the name given to the ratio of the circumference to the diameter of a circle. It is the same irrational value for all circles. "Pi" is the 16th letter of the Greek alphabet. The lower-case symbol π is used to represent the value ...
3.1415926535897932384626433...
The value has been calculated to more than 31 trillion digits. The exercise of doing that is often used to test supercomputers and computer clusters.
__
"Pie" is something else entirely. Most often, it belongs on the dessert cart, not in a number set.
Which expression is equivalent to 5 + 15x?
0 A. 5(1 + 3x)
ОВ. 1(5 + 3x)
Ос. 3(5 + х)
OD. 5(3x)
оооо
Answers
Answer:
A. 5(1 + 3x)
Step-by-step explanation:
5(1 + 3x)
(5 × 1) + (5 × 3x)
5 + (5 × 3x)
5 + 15x
A works. Let's check the rest.
1(5 + 3x)
(1 × 5) + (1 × 3x)
5 + (1 × 3x)
5 + 3x
B does not work.
3(5 + х)
(3 × 5) + (3 × x)
15 + (3 × x)
15 + 3x
C doesn't work.
5(3x)
5 × 3x
15x
B, C, and D do not work.
A maximum regulation-sized soccer field is 360 ft. by 225 ft. What is the area?
Answers
Answer:
The last one, 81000 sq ft.
Step-by-step explanation:
To find area, you do length times width.
81,000 ft. squared
suppose that grade point averages of undergraduate students at one university bell-shaped distribution with a mean of 2.57 and a standard deviation of 0.4 describe where approximately 99.7% of a grade point averages lie
Answers
Answer:
2.57-0.4-0.4-0.4=1.37
2.57-0.4-0.4=1.77
so the answer is 1.37 between 3.77
Step-by-step explanation:
radius = 3 4/5 m
Hubby bbb bbb.
Answers
Answer: 2
Step-by-step explanation:
The answer choices are 10, 15, 30, 35.
Answers
Lets us start with finding the inner angles of the triangle. The bottom right angle shall be 70 degrees as it is opposite. The 100 degrees shall add together to make 200. 360-200 = 160. 160 / 2 = 80. So, Now we know bottom left angle (80) and bottom right (70). 80 + 70 = 150. In a triangle, angles add to 180 so 180 - 150 = 30. 30 = 2x which means that x = 15
15
If an item weighs 45 kilograms, what is its weight in pounds?
20
63
90
99
Answers
Answer:
99
Step-by-step explanation:
Answer:
99
Step-by-step explanation:
g
put the following equation on a line into slope intercept form simplified all fraction 12 x + 3 Y equals -18
Answers
12x+3y=-18 subtract 12x on both side
3y=-12x-18 divide both sides by 3
y=-4x-6 is the answer
Which theorem is the following?
"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment"
Answers
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then
[tex]AB + BC = 10[/tex]
Where
[tex]AB = BC[/tex] --- Perpendicular bisector
So, the equation becomes
[tex]AB + AB =10[/tex]
[tex]2AB =10[/tex]
[tex]AB = 5[/tex]
Recall: [tex]AB = BC[/tex]
[tex]AB = BC = 5[/tex]
Helpp guyss left with this one onlyy!!!!
Answers
Answer:
[tex]m=\frac{2}{5}[/tex]
Step-by-step explanation:
1. To find the slope we need to use the slope formula, [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
2. The points that were given were (0,0) and (5,2). Let's plug those into the formula.
[tex]\frac{2-0}{5-0}[/tex]
[tex]\frac{2}{5}[/tex]
So, your slope would be [tex]m=\frac{2}{5}[/tex]
Hope this helped! C:
Belle deposited money into a savings account. This table gives the value of her account for the first 14 months after the initial deposit. The data can be modeled using an exponential function.
Years 2 4 6 8 10 12 14
Account value $106 $113 $119 $126 $135 $143 $152
Based on the data, which amount is closest to the value of the account 24 months after the initial deposit?
$180
$200
$240
$280
Answers
Answer:
The answer is B 200
Step-by-step explanation:
i just took the test so yah :)
i need help with this question
Answers
Answer:
[tex] \boxed{ \tt{x = 201 \:m}}[/tex]
Step-by-step explanation:
[tex]applying \: the \: sine \: rule \to \\ \: \sin(38) = \frac{x}{327} \\ x = 327 \sin(38) \\ x = 201.32[/tex]
A parking garage owner wants to collect $2,250.00 in parking fees. If he charges $15.00 for each car, how many cars are needed to meet his goal?
A 150 cars
B 168 cars
C 169 cars
D 301 cars
Answers
Can someone help me with these two for brilliant please
Answers
Answer:
its A
Step-by-step explanation:
Answer:
A. y=5.50x
Step-by-step explanation:
Brainlist plz
Please answer and explain I’ll mark brainliest!!!!!!!!!!!!
Answers
Answer:
A. x^2−x+6
B. 2x^2−11x+12
C. x^2−4
Step-by-step explanation:
Hope it helps
A. Distribute:
=(x)(x)+(x)(−3)+(2)(x)+(2)(−3)
=x2+−3x+2x+−6
Combine Like Terms:
=x2+−3x+2x+−6
=(x2)+(−3x+2x)+(−6)
=x2+−x+−6
B. I can't find an explanation
C. I can't find an explanation
Answer:
So we apply the distributive property to get
a) x^2 - 3x + 2x - 6
b) 2x^2 - 8x - 3x + 12
c) x^2 - 2x + 2x - 4
then we add like terms to get
a) x^2 - x - 6
b) 2x^2 - 11x + 12
c) x^2 - 4
brainliest please?
Which shows how to add 6 + 4+ 5?
6 = 6 and 4 + 5 = 9
1) 6+4 = 10 and 10 + 5 = 15
<» 6+4 = 10 and 4 + 5 = 9
Answers
Answer:
6+4=10 and 10+5=15
Step-by-step explanation:
Joel rides bikes in his city There are 4 lengths of race tracks.
Answers
Answer:
21
Step-by-step explanation:
asdawda
Solve question above ^
w=?
Answers
Answer:
w = -6/7
Step-by-step explanation:
-1w/2 - 3/5 = 1w/5
multiply by 10 to eliminate fractions:
-5w - 6 = 2w
-6 = 7w
w = -6/7
PLZ HeLP
Find the volume of this triangular prism.
Be sure to include the correct unit in your answer.
hight 5m
base 5m
other base 9m
Answers
8.75 divided by 6.5
Answers
Answer:
35/26 = 1.346153846
Step-by-step explanation:
1. How many triangle make a trapezoid
Answers
A trapezoid consists of two triangles.
A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.
The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.
One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.
So, a trapezoid consists of two triangles.
Learn more about Trapezoid here:
https://brainly.com/question/19340938
#SPJ6
The sum of two numbers is 58. Twice the second
number subtracted to four times the first number is
28. Find the two numbers.
Answers
Answer:
Step-by-step explanation:
a+b=58 and 4a-2b=28 is the system of equations
solving the first for a, a=58-b, using this value for b in second equation is
4(58-b)-2b=28
232-4b-2b=28
232-6b=28
-6b=-204
b=34, and since a=58-b
a=58-34
a=24
So the two numbers are 24 and 34
What is the factored form of 18+12
Answers
6(3+2)
Step-by-step explanation:
that xas factor of 18+12
Answer:
30:)
Step-by-step explanation:
I think it's 30!!!!!