Answers
(1) Along the x-axis, we have y = 0, so that
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2} =\lim_{x\to0}\frac34= \frac34[/tex]
(2) Along the y-axis, we take x = 0, then
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{y\to0} \frac0{4y^2} = 0[/tex]
(3) Along the line y = mx, we have
[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2+4(mx)^2} = \lim_{x\to0}\frac{3x^2}{4x^2+4m^2x^2} = \frac3{4+4m^2}[/tex]
which means the limit is dependent on the slope of the line m.
(4) nonexistent
Related Questions
Solve 4/5x + 1/3 = 3
Answers
The answer is 10/3.
1. Write an equivalent
ratio by multiplying:
1
-
4
Answers
Answer:
2 4
- _
8 16
Step-by-step explanation:
1 2
- X -
4 2
Or
1. 4
- X -
4. 4
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such
as p rinting). There are two production methods it could use. With one method, the one-time fixed costs will total $16,465, and the variable costs will be $20.50
per book. With the other method, the one-time fixed costs will total $37.815, and the variable costs will be $11.75 per book. For how many books produced will
the costs from the two methods be the same?
Answers
9514 1404 393
Answer:
2440
Step-by-step explanation:
The difference in fixed costs is ...
37815 -16465 = 21350
The difference in variable costs is ...
20.50 -11.75 = 8.75 . . . . per book
Then the number of books that must be produced for the difference in variable costs to be equal to the difference in fixed costs is ...
21350/8.75 = 2440
For production of 2440 books, the costs of the two methods will be the same.
_____
Additional comment
You can write expressions for total cost of each production method. When you set them equal and solve for the number of books, you find the math you end up doing is the same as that shown above.
6 bannas cost $0.75. How much do 20 bannas cost
Answers
Answer:
15
Step-by-step explanation:
Answer:
The answer is 15
Step-by-step explanation:
38 = x − 4(x + 1)
help pls
Answers
Answer:
Given :-[tex]\huge38 = x - 4(x + 1)[/tex]
On calculation:- [tex]\large=>38 = x - 4x - 4[/tex]
[tex]\large=>38 = - 3x - 4[/tex]
[tex] \large=>- 3x = 38 + 4[/tex]
[tex]\large =>- 3x = 42[/tex]
[tex]\large =>x = \frac{42}{ - 3} [/tex]
[tex]\large =>x = -14[/tex]
▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂▂
Hence, Your answer :-[tex]\huge\green{ x = -14}[/tex]
Name 10 different rays. Then name 2 pairs of opposite rays.
I simply need to check answers!
Answers
Answer:
Rays are.DA,CB,AB,EA,CA,CD,EB,BC, rest I don't know
14. The cost of 10 dozen of caps is Rs.800. How many caps can bebought for Rs.200.
Answers
Answer:
Step-by-step explanation:
10 dozen is equal to 120 so ratio is 800/120 or 80/12
same ration on the other side but 200/x.Cross multiply and u get 3
If a >b, then A must be positive number.
Answers
Step-by-step explanation:
NO,IT DEPENDS UPON SITUATIONS
IF B IS -5 THEN A CAN BE -2,-4,-3 OR 1 ,2,3,4,......
YOU WILL GET 100 POINTS!!
Y=4+∣9-16∣
Answers
Answer:
y = 11Step-by-step explanation:
y = 4 + |9 - 16| =
4 + | - 7| =
4 + 7 =
11
An absolute value is always positive:
|a| = a, if a > 0|a| = -a, if a < 0Done
A worker earns the same amount for each
hour. If he earned $48.00 in 3 hours, how
much would he earn in 8? In 40?
Answers
Answer: 8 hours= $128 40 hours= $640
Step-by-step explanation:
$48.00 divided by 3 = $16.00 an hour. so 16x8=128 and 16x40=640
find the midpoint of R(5,3) and S(-4,6) PLEASEEE
Answers
Answer:
(0.5, 4.5)
Step-by-step explanation:
midpoint formula:
((sum of the two x values)/2, (sum of the two y values)/2)
= ((5+(-4))/2 , (6+3)/2)
= (0.5, 4.5)
PLEASE HELPPP Which number is farthest to the right on a number line? O A. -15 O B. -1 ос. О O D. 1
Answers
Answer:
D,1
Step-by-step explanation:
All of the others are negatives, which are to the left. Since 1 is positive, it's the farthest to the right
If we fold 1 mm of cardstock in half and fold it again in half we have a stack of 4 layers that is 4 mm high . If we fold the cardstock in haf 10 times how thick would the stack of cardstock layers be
Answers
Answer:
1024mm
Step-by-step explanation:
1. Fold it would be 2mm
2.Fold It would be 4mm
3.Fold 8mm
4.Fold 16 mm
5.Fold 32mm
6.Fold 64mm
7.Fold 128mm
8.Fold 256mm
9.Fold 512mm
10 Fold 1024mm
The answer is 2¹⁰mm or 1024mm
The value of 8 in 780,401 is than the value of the 8 in 2,806
Answers
Answer: greater
I hope that was what you were looking for...
decomponha o número 52.489
Answers
Answer:50.000+2000+400+80+9
Step-by-step explanation:
Answer:
50.000 + 2.000 + 400 + 80 + 9
Mr. jovanovski is having wood flooring
Answers
Answer:
By definition the area of a rectangle is:
A = l * w
Where,
l: long
w: width
So we have to clear the width:
w = A / l
Substituting the values:
w = (234) / (18) = 13
w = 13 feets
answer
the width, in feet, of the room is 13
Step-by-step explanation:
Scores 18 20 16 13. Find this student's mean quiz score
Answers
Answer: 16.75
Step-by-step explanation:
Answer:
16.75
Step-by-step explanation:
To find the mean, add up all the number
18+20+16+13
67
Then divide by the number of quizzes
67/4
16.75
PLEASE HELP WITH EXPLANATION NO LINKS OR I Will Report You
Answers
Answer:
none of above
Step-by-step explanation:
please mark me brainleast
Answer: a because 2 negatives equals a positive
Step-by-step explanation:
If you were to take a longitudinal section from a long cylinder, what shape would you get? Question 23 options: A circle A parallelogram A square A rectangle
Answers
Answer:
A Rectangle
Step-by-step explanation:
A longitudinal section means that the plane slicing the cylinder is vertical, just as a latitudinal section means that the slice is horizontal.
When you think about it, a flat slice of a cylinder in the vertical direction is a rectangle.
If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle. Then the correct option is B.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
If you were to take a longitudinal section from a long cylinder.
Then the shape we get will be
If the cylinder is sliced along the length of the cylinder then the shape we get is a rectangle.
More about the cylinder link is given below.
https://brainly.com/question/3692256
Which fraction is equivalent to 7/8 ?
A. 5/6
B. 17/18
C. 21/24
D. 49/64
Answers
Answer:
C.21/24 it is equivalent fraction to the 7/8
Step-by-step explanation:
7×3=21
8×3=24
Answer:
C
Step-by-step explanation:
If you divide both the numerator and denominator of 21/24 by 3, you will get 7/8. Therefore, 7/8 is essentially the simplified form of 21/24.
4) When you get to college you will be assigned a new Student Identification Number. If this ID is
5 number digits and 2 letters long, how many possible students can the school accommodate?
Answers
This gives you 10*10*10*10*10*26*26 possible combinations, or that many possible students who can use that system.
That’s 67,600,000 students.
Evaluate the number sequence. What number should come next in this following sequence? 6, 2, 12, 4, 24 =
Answers
Answer: Either 6 or 8
Explanation:
Notice that the first, third and fifth values are: 6,12,24. It appears the pattern here is "times 2". So we double each value to get the next item. This only seems to apply for the odd numbered slots.
For the even number slots, we have the pattern: 2,4. The next item isn't clear. We could do two things
add 2multiply by 2If we go with the first option, then we have 4+2 = 6 as the next term
OR
If we go with the second option, then we have 4*2 = 8 as the next term
Unfortunately, there isn't enough information to know which would actually be the next term. A common problem with sequence problems like this is that there are often many ways to generate the same subsequence, which leads to ambiguity as to what the next term would be.
can 0.462 be written as a fraction and is it a terminating or repeating decimal
Answers
Answer: 462/1000
Step-by-step explanation:
I don’t get it please help me out
Answers
Answer:
Step-by-step explanation:
1
When the slope is positive, the graph goes from the lower left to the upper right.
Suppose the graph is y = 0.8x + 2. See the inserted graph to see what happens. See the first graph downloaded to see what the above sentence means. The graph is in red.
2
when b>0 the y intercept is above the x axis. The second graph is y = x + 5. It is in blue. The red graph is the same one as the one above.
Sorry, I'm only allowed 1 download. But the red line is for part 1 and the blue line is for part 2.
a. (2 + 4) + 5( − 1) − ( + 7)
b. (74 + 9) − 2(4 + 13)
c. (6 − − 4) + (9 + 4)
d. (5 − 2)+ 6(2 − 8) − (2 + 12)
e. (83 + 5) − 3(3 + 2)
f. (12 + 1) + 2( − 4) − ( − 15)
g. (132 + 5) − 2(2 + 1)
h. (9 − − 2) − 3
(8 + 22)
i. (4 + 6) − 12( − 3)+ ( + 2)
j. (154 + 10) − 12(4 + 4)
Answers
b) 49
c)23
d)-47
e)73
f)20
g)131
h)-79
i)48
j) 68
Sam baked an equal number of sausage buns and
custard buns. During the day, 68 sausage buns were
sold. Sam also baked another 27 custard buns to meet a last-minute
order. At the end of the day, Sam had baked 6 times as many custard
buns as the number of sausage buns remaining. How many sausage
buns did Sam bake at first?
Answers
Answer:
87
Step-by-step explanation:
number of sausage buns = s
number of custard buns = c
at the start of the day, s = c
at the end of the day
c+27=6(s-68)
since c = s,
s+27=6(s-68)
s+27=6s-408
-5s = -435
s=87
Let us represent:
The number of sausages baked at first = s
The number of custard buns baked at first = c
During the day, 68 sausage buns were sold. This can be expressed using algebraic equations as:s - 68
Sam also baked another 27 custard buns to meet a last-minute order. This can be expressed using algebra as:c + 27
At the end of the day, Sam had baked 6 times as many custard buns as the number of sausage buns remaining.Hence:
c + 27 = 6 (s - 68)
c + 27 = 6s - 408
Note: Sam baked an equal number of sausage buns and custard buns. This means:c = s
Hence,
c + 27 = 6s - 408
s + 27 = 6s - 408
Collect like terms
408 + 27 = 6s - s
435 = 5s
Divide both sides by 5
435/5 = 5s/5
s = 87
Therefore, the number of sausage buns Sam baked at first is 87 sausage buns.
To learn more, visit the link below:
https://brainly.com/question/2237530
Answer with Solution
Answer with Solution
Answer with Solution
Answer with Solution
Answer with Solution
Answers
Answer:
-5
Step-by-step explanation:
-3x + 7 < 11
-3(-5) + 7 < 11
Multiplying two negatives together, makes a positive number.
15 + 7 < 11
22 < 11
22 less than 11 is false, therefore -5 is the correct answer.
The correct answer is 4
Here's the Solution:
- 3x + 7 ‹ 11Transpose 7 to the right side
- 3x ‹ 11 - 7Now subtract 11 and 7
- 3x ‹ 4HOPE THIS HELPS. GOODLUCK:)
Plz help what is
1 2/5 - (-3/5)
Answers
Step-by-step explanation:
1 2/5 - (-3/5)
1 2/5 + 3/5
7/5 + 3/5
10/5
Kelsey deposited $3,600 in a bank account with annual interest rate 4.25%. How much interest was earned in 5 years?
Answers
Answer:
in 1year =4.25%in 5year=xthen 1=4.25%5=x then cross x=4.25%*5=21.25%Answer:
$765
Step-by-step explanation:
If an amount of money, P, called the principal, is invested for a period of t years at an annual interest rate r, the amount of interest, I, earned is given by
I =Prt where
I =interest
P =principal
r =rate
t =time
The following information is given.
Prt=$3,600=4.25%=5 years
Substituting the given information into the simple interest formula and solving for I gives
I =Prt
I =(3,600)(0.0425)(5)
=765
The amount of interest Kelsey earned in 5 years was $765.
What od linear algebra exactly?
Answers
Answer:
Linear algebra is the study of lines and planes, vector spaces and mappings that are required for linear transforms. It is a relatively young field of study, having initially been formalized in the 1800s in order to find unknowns in systems of linear equations.
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