Use continuity to evaluate the limit.
lim 16+radical x/ radical 16+x
1+9
Consider the intervals for which the numerator and the denominator are continuous.
The numerator 16+ radical x is contintuous on the interval
[0,00)
0
The denominator V16 + I is continuous and nonzero on the interval
(16,00)
X
The interval for which the quotient is continuous is the intersection of the above intervals.
16+
Therefore, the quotient
is continuous on the interval
716 +1
[-16,0]
X
Since 2
9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,
19
16 + VE
lim
179 16 +2
f(9)
00
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Answers

Answer 1

Answer:  

Use continuity to evaluate the limit.

lim 16+radical x/ radical 16+x

1+9

Consider the intervals for which the numerator and the denominator are continuous.

The numerator 16+ radical x is contintuous on the interval

[0,00)

0

The denominator V16 + I is continuous and nonzero on the interval

(16,00)

X

The interval for which the quotient is continuous is the intersection of the above intervals.

16+

Therefore, the quotient

is continuous on the interval

716 +1

[-16,0]

X

Since 2

9 is in the interval (0, 0), then fis continuous at x = 9. Therefore,

19

16 + VE

lim

179 16 +2

f(9)

00

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Step-by-step explanation:


Related Questions

Surface Area of 20,70,90 Will give brainliest to correct answer

Answers

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Answer:

126000

Step-by-step explanation:

20×70×90

Multiply 20 and 70 to get 1400.

1400×90

Multiply 1400 and 90 to get 126000.

126000

Find the area of the composite figure.

Answers

Answer:

48

Step-by-step explanation:

4x2=8

4x3=12

12/2=6

Sarah read 215 pages of her book during the first week of vacation. During the second week she read62 more pages then the first week

Answers

Answer:

She read 277 pages during the second week.

Step-by-step explanation:

215 + 62.

Answer: she read 277 books

Step-by-step explanation:

3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.


Answers

Answer:

tis is not confirmed answer

Step-by-step explanation:

comiision: 112.5%

2. A graphic designer is creating an advertisement for a tablet. She needs to enlarge the picture so that 2
Inches on the scale drawing will correspond to 5 Inches on the actual advertisement. If the dimensions
of the scale drawing are 3 Inches by 4 inches, what will be the length and width of the tablet on the
actual advertisement
PLEASE HELP ASAP!

Answers

Answer:

lol the answer is 49

Step-by-step explanation:

hope this helps <3

9 1/4 - 3/4 =
6 4/9 - 3 11/12 =
3 11/15 - 1 5/6 =
4 5/14 - 3 17/21 ​

Answers

Answer:

8 1/2

2 19/36

1 9/10

23/42

9(2a + 1)
please help

Answers

Answer:

18a +9

Step-by-step explanation:

Brainliest?!?!!?

Step-by-step explanation:

If you want to expand it then,

9(2a+1)

= 18a + 9 (Ans)

Imagine you measure the length of 15 cars, and then sum that length, in order to see how big a parking lot must be. You do this in two different ways. First, you use the same bad tape measure for each car so that your measurement is always 1 cm too long, or always too short, for all of the measurements. For your second attempt, you use a different bad tape measure for each car, so there is an uncertainty of plus or minus 1cm in each measurement. What is your estimate of the total error in the sum of all the car lengths in these two cases

Answers

Answer:

± 15 cm  

Step-by-step explanation:

In the first case, since the measurement is 1 cm too long or too short, the error is ± 1 cm.

In the second case, the uncertainty or error is also ± 1 cm.

Now, since there are 15 cars, and there is an error of ± 1 cm in each measurement, by the error formula the total error in the sum of both cases is 15 × ±1 cm = ± 15 cm  

So, the total error in both cases is ± 15 cm.

Solve for x and y: (x + yi) -(2-1) = 12 +7i

Answers

Answer:

These are the answers.

Step-by-step explanation:

A tv sells for $300 and is marked down 30%. What is the amount of
the discount and the sale price

Answers

Answer:

the amount of discount is $210

Step-by-step explanation:

30(.30)

90

90 is 30% of 300

subtract:

300-30= 210

Answer:$210

Step-by-step explanation:

PLEASE ANSWER I WILL GIVE BRAINLIEST AND LOVE U FOREVER!

Answers

Answer:

im not even sure this is right

Step-by-step explanation:

A=a+b 2h=2+1.1

2·3.4=5.27

4[1 2 -1 5]
Someone help me with this bs

Answers

Answer:

-12

Step-by-step explanation:

12 - 15 = -3

4 ( -3 )

= -12

Answer: -12

Step-by-step explanation:

We have 4[12 -15]

Next, we have subtract in the parentheses since it's part of PEDMAS

12-15

After that, we get -3. Whenever a you multiply a whole number with a negative number, the whole becomes negative.

12- 15= -3

And Lastly, we multiply.

4x -3= -12

Hope this helps!

Explain answer !!

( WILL GIVE BRAINLEST)

Answers

Answer:

B

Step-by-step explanation:

Cross product.

3xy= 3y

4x6= 24

3y/3

24/3= 8

Answer is b because you multiply times 2 on the fraction on the left

can you help me with this​

Answers

Answer:

85

Step-by-step explanation:

180-(67+28)

180-95

85

please mark brainliest

Billy has a set of wooden boards. Each board is 0.6 meters long. If Billy lays 4 boards end-to-end, how many meters long will the line of boards be?

Answers

Answer:

2. 4 meters long

Step-by-step explanation:

0. 6 times 4 equals 2. 4

Parallelograms don’t understand

Answers

Answer:-43 + 9x = 0

Step-by-step explanation:Simplifying

9x + -43 = 0

Reorder the terms:

-43 + 9x = 0

Solving

-43 + 9x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '43' to each side of the equation.

-43 + 43 + 9x = 0 + 43

Combine like terms: -43 + 43 = 0

0 + 9x = 0 + 43

9x = 0 + 43

Combine like terms: 0 + 43 = 43

9x = 43

Divide each side by '9'.

x = 4.777777778

Simplifying

x = 4.777777778

Write the number that is five less than ten million.

Answers

Answer:

9,999,995

Step-by-step explanation:

A cable TV company charges $28 for the basic service plus $8 for each movie channel. Let y be the total cost
in dollars of subscribing to cable TV, using x movie channels. Find the slope-intercept form of the equation.
Look at pic

Answers

Answer:

y= 28x+8

Step-by-step explanation:

There is a brick patio around a fire pit, as shown. Use 3.14 for pi.
What is the area of the fire pit?

Answers

Answer:

28.27

you just have to know the formula

I need help with this question I would be grateful really

Answers

Answer:

B

Step-by-step explanation:

B

the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer

Lisa purchased almonds for $3.50 per pound here
de and your estimate
2450 How many pounds of almonds did she
purchase?

Answers

700 pounds of almonds
The awnser would be 700 pounds of almonds
Heart and comment.

5 3/10 - 1.5 please help me

Answers

Your answer is 3.8 I hope it helped :)

Answer:

es igual a 111.111.111.011

A student who is trying to write a paper for a course has a choice of two topics, A and B. If topic A is chosen, the student will order two books through interlibrary loan, whereas if topic B is chosen, the student will order four books. The student believes that a good paper necessitates receiving and using at least half the books ordered for either topic chosen. If the probability that a book ordered through interlibrary loan actually arrives in time is .9 and books arrive independently of one another, which topic should the student choose to maximize the probability of writing a good paper? What if the arrival probability is only .5 instead of .9?

Answers

Answer:

[tex]\text{For topic A }:0.99\\\text{For Topic B}: 0.6875[/tex]

Step-by-step explanation:

Topic A: Two books are ordered

Topic B: Four books are ordered

Let X= number of books arrived

The probability that a book actually arrives in time is 0.9

i.e., p=0.9

For Topic A:

[tex]P(X\geq 1)=P(X=1)+P(X=2)\\\Rightarrow P(X\geq 1)= \;^2C_1 (0.9)^1(0.1)^(2-1)+\;^2C_2 (0.9)^2(0.1)^(2-2)\\\Rightarrow P(X\geq 1)=0.18+0.81\\\Rightarrow P(X\geq 1)=0.99[/tex]

For Topic B:

[tex]P(X\geq 2)=P(X=2)+P(X=3)+P(X=4)\\\Rightarrow P(X\geq 2)=1-[P(X=0)+P(X=1)]\\\Rightarrow P(X\geq 2)=1-[\;^4C_0(0.5)^0(0.5)^4 +\;^4C_0(0.5)^1(0.5)^3]\\\Rightarrow P(X\geq 2)=1-[0.0625+0.25]\\\Rightarrow P(X\geq 2)=0.6875[/tex]

2x+2 (1-4X) = 88-5 (x+4)7x + 2 ​

Answers

Answer:

x=4/7

Step-by-step explanation:

Find the midpoint of segment AB if A(-3, 8) and B (-7, -6).

Answers

Answer: (-5,1)

Step-by-step explanation: that should be right

Look at the attachment

Answers

Answer:

7/8

Step-by-step explanation:

3 1/2x1/4 Calculator!!!!!!! srry if it is not the answer.

Pls can anyone help il give more points plsss

Answers

Answer:

1. 25

2. 3 hours

3. from 10:00 am to 10:30 am because he went 10 miles in 30 minutes

Step-by-step explanation:

John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute

Answers

Answer:

divide 12 and 1/2 by 25 and can I get branliest

Step-by-step explanation:

Answer:

it would take him 2 minutes to read one page

He can read half a page in 1 minute

Step-by-step explanation:

Part 1

ratio time/pages

25/12.5=x/1

cross multiply

12.5x=25

x=2

ratio time/pages

25/12.5= 1/x

cross multiply

25x=12.5

x=0.5

on a family trip, albert counted two groups of four motorcycles and an additional five solo motorcycles. Write an expression for the number of motorcycles albert saw. then find the number of motorcycles.

Answers

2(4)+5 Albert encountered 13 motorcycles.

The absolute value of -15 is -15 because -15 is 15 units to the left of zero

Answers

Answer: False

Step-by-step explanation: The absolute value of -15 is 15.

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