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

Question Help: Message instructor

Submit Question

Step-by-step explanation:


Related Questions

Help me please and explain it me to please

Answers

6 and 5 because they are on a straight line and add to 180

If you double all edges of a cube,by what percent will the volume of the cube increase?

Answers

I think it is 700 percent



Joan climbed down 330 feet to the bottom of a cave. Next, she climbed up 385 feet. What was her final elevation? Joan was
feet above sea level

Answers

55 feet above (-330+385)

I’ll give a Brinley start right away if you help me

Whenever he visits Hillsdale, Jason has to drive 33 miles due north from
home. Whenever he visits Arcadia, he has to drive 44 miles due east
from home. How far apart are Hillsdale and Arcadia, measured in a
straight line?

Answers

Answer:

We'll use the Pythagorean Theorem.

1.)Substitute in values from the text

33^2+44^2= X^2

2.)Add like terms

1,089+1,936= X^2

3.)Now, we have 3,025=X^2

4)55^2 = 3,025

5.)So, 55 will be your answer.

Excuse my explanation but 55 is your answer.

Amelia took a total of 18 quizzes over the course of 2 weeks. After attending 5 weeks of school this quarter,how many quizzes will Amelia have taken a total? Solve using unit rates

Answers

Answer:

45 quizzes

Step-by-step explanation:

The admission fee at a park is $1.25 for children and $5.40 for adults. On a certain day, 319 people entered the park, and the admission fees collected totaled $1125. How many children and how many adults were admitted?

Answers

Answer:

So 900 children went that day and

225 adults went that day

Step-by-step explanation:

1125 divided by 1.25=900 children

so then if you want to find out adults then just subtract

1125-900=225 adults

Hope this helped and Have a great day!!!

A basket holds 45 apples and 3 oranges. A blindfolded man reaches into the basket and selects one piece of fruit. State the probability of the outcome for each kind of fruit as a decimal

Answers

Answer:

ahahha free points for me

Find the equation of the exponential function that passes through the points (- 1, 1/6) and (1, 2/3) and Use the form y = c * a ^ x and show how you find the values of and a. Show all work , not just the final equation.

Will give Brainliest to the right answer with steps

Answers

Answer:

y = 1/3*2^x

Step-by-step explanation:

Given function

y = c*a^x

The points (-1, 1/6) and (1, 2/3) lie on the graph

Substitute the values of x and y to get the system of equations:

1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c2/3 = c*a^1 ⇒ 2/3 = ac

Substitute a and solve for c:

2/3 = 6c*c1/9 = c²c = √1/9c = 1/3

Find a:

a = 6c = 6*1/3 = 2

The equation of the function:

y = 1/3*2^x

5x+(6x divided by -9)

Who ever answer’s this i will mark brainliest

Answers

Answer:

(13/3)x

Step-by-step explanation:

6x/-9 is eqivalent to (2/-3)x. 5x is equivalent to (15/3)x. Combine the like terms and you get (13/3)x.

Solve 2x-5 = 7 I will mark as brainliests ​

Answers

Step-by-step explanation:

first method

add 5 from both side

2x -5 +5 = 7+5

2x= 12

X = 2

12

divide 2 from both side

2. 12

2. 2

X = 6

second method

2x-5=7

2x = 5+7

2x=12

X=2/12

X =6

:.

WHICH TERM BEST DESCRIBES THIS POLYGON

Answers

Answer:

17-gon

Step-by-step explanation:

There are 17 sides of the polygon.

simplify this, please

Answers

Answer:

what is it because I don't see it

Answer:

simplify what?

Step-by-step explanation:

so like simplify this or please or both. if so then... the is this (i guess) and please is pls, (i guess)

A farmer packs eggs into cartons of 12. The farmer has 109
eggs. She wants to keep 13 of those eggs for her family.
How many cartons will the farmer be able to sell?

Answers

Answer:

109 divided by 12 is about 9.3 carton thingys so she would most likley sell 8

so she can keep some

Step-by-step explanation:

The farmer sells 6 cartoons.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Eggs= 109

A carton contain= 12 eggs

If the farmer takes away 13 eggs, the eggs left

= 109 - 13

= 96 eggs.

So, the number of cartoons will famer sell

= 96 / 12

= 6 cartoons.

Hence, the farmer sells 6 cartoons.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ5

Which of the following is something a lender will not consider when reviewing your loan application?
a collateral
b. family size
c. credit score
d. debt-to-Income (DTI) ratio

Answers

Answer:

B family size

Step-by-step explanation:

The lender will not consider family size when reviewing your loan application.

What is Loan application?

Loan applications could be declined for so many reasons. However, in a situation where an application is not granted, it is good to find out the reasons behind the decision so as to avoid repeating such in subsequent applications.

Another step to be taken after the denial of the application is to look for an alternative lender and make another application.

One may also need to improve on the application to avoid another denial this time around.

Since Lenders have different risk appetites and preferences. What one lender tells about your creditworthiness is not necessarily what another will. They may view your finances as well enough to apply.

Learn more about the Loan application;

https://brainly.com/question/16386105

#SPJ2

If 6x-4 is 11 less than 25,what is the value of 9x

Answers

Answer:

27

Step-by-step explanation:

If 6x-4 is 11 less than 25, what is the value of 9x can be rewritten as:

6x-4=25-11, what is the value of 9x?

Let's solve for x first by using the given information: 6x-4=25-11

1. 6x-4=25-11

2. 6x-4=14

3. (isolate x by adding 4 on both sides) 6x=18

4. x=3

The question asks for the value of 9x. Since we know x=3...

9x=9 times 3=27

9x=27

ten people are attending Josiah's birthday party want to buy enough punch so that each person can have 1/4 of gallon of punch How much punch does Josiah need in order to serve himself and his ten guests

Answers

It would be 2 and 1/2 gallons

Can someone helppp pls

Answers

Answer:

It's the first one and the second one.

[tex]\sqrt{11}, 5, 6\\\\3, 4, 5[/tex]

use the Pythagorean theorem

Plz help!!! I need the answer quickly

Answers

When the imposter is sus XD

what is 189,476 to one significant figure?​

Answers

Answer:

15 hope this helps!!!!

Step-by-step explanation:

Solve the inequality: -3x - 22 > 23

Answers

Answer:x<-15

Step-by-step explanation:

Simplify the rational Expression

Answers

Answer:

[tex]\frac{x^2+2x}{x-3}[/tex]

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

[tex]\frac{x^2+2x}{x-3}[/tex]

Evaluate the expression when 24b + 8 gcf

Answers

GCF = 8

Hope this helps!!!!

a homeowner has just installed a swimming pool with a capacity of 3.5 x 10⁴ gallons.of the pool is initially empty, how many hours will it take to fill it using only a garden hose that delivers 630 gallons of water per hour

Answers

Using proportions, it is found that it will take 55.6 hours to fill the poll.

What is a proportion?

A proportion is a fraction of total amount, and the measures are related using a rule of three.

In this problem, in one hour, 630 gallons of water are delivered. How many hours are going to take to deliver 3.5 x 10⁴ gallons = 35000 gallons?

The rule of three is:

1 hour - 630 gallons

x hours - 35000 gallons

Applying cross multiplication:

[tex]630x = 35000[/tex]

[tex]x = \frac{35000}{630}[/tex]

[tex]x = 55.5[/tex]

It will take 55.6 hours to fill the poll.

You can learn more about proportions at https://brainly.com/question/24372153

The hours it would take to fill the swimming pool is 55.6 hours.

What does division mean?

Division is the process of dividing a number into equal parts using another number. The sign used to denote division is ÷.

How many hours would it take to fill the swimming pool?

Number of hours = capacity of the swimming pool / capacity of the hose

3.5 x 10^4 / 630

35,000 / 650 = 55.6 hours

To learn more about division, please check: https://brainly.com/question/13281206

find the length of side AC to the nearest centimeter.

Answers

Answer: 37+58=x

Step-by-step explanation: okay so add up 37+58=x they to x-180 to find the A angel then just

hbhjbuih8uqwhd8wqh8fhqw8dh90qwuf[9qwf[9qwf9qwuf089wydf08yq3w8dryqw

Answers

Answer:

fhewufhaoiwefaoewpfjawepiofaowpeffwefawefa

Thx for the points!! I hope you understand my random string of letters :D

solving right triangles geometry help please

Answers

Answer:

(13) The third side is 14 cm

(13) The third side is 16.1 cm

Step-by-step explanation:

Given

(13) & (14)

Required

Solve

(13): Let length AB = x.

Using Pythagoras theorem.

[tex]x^2 = 12^2 + 9^2[/tex]

[tex]x^2 = 144 + 81[/tex]

[tex]x^2 = 225[/tex]

Take positive square root of both sides

[tex]x = \sqrt{225[/tex]

[tex]x = 15[/tex]

(14): Let length DE = x.

Using Pythagoras theorem.

[tex]x^2 = 8^2 + 14^2[/tex]

[tex]x^2 = 64 + 196[/tex]

[tex]x^2 = 260[/tex]

Take positive square root of both sides

[tex]x = \sqrt{260[/tex]

[tex]x = 16.1[/tex] ---approximated

10 more than a number divided by negative 8

Answers

Answer:

x + 10 ÷ -8

To:

x + 10 - 10 ÷ -8 - 10

To:

x ÷ -18 if that's what your looking for. If your only trying to find the Algebraic Expression then just use x + 10 ÷ -8.

Step-by-step explanation:

Answer:

x + 10 divided by -8

Step-by-step explanation:

HURRY PLS !!! WHAT IS THE VALUE OF X AND Z!!! WILL GIVE BRAINLIEST

Answers

Answer:

x° = 79°

z° = 101°

Step-by-step explanation:

can someone help pls

Answers

Answer:

37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

a is a leg b is another leg c is the hypotenuse

Step-by-step explanation:

Step 1: Identify

Leg a = 35

Leg b = 12

Hypotenuse c

Step 2: Solve for c

Substitute in variables [Pythagorean Theorem]:                                          35² + 12² = c²[Hypotenuse] Rewrite:                                                                                   c² = 12² + 35²[Hypotenuse] Evaluate exponents:                                                                c² = 144 + 1225[Hypotenuse] Add:                                                                                          c² = 1369[Hypotenuse] [Equality Property] Square root both sides:                           c = 37

you can buy 5 cans of green beans at the Village Market for $2.30 or you can buy 10 of them of best food for $5.10 which place is the better buy ​

Answers

Answer:

village market

Step-by-step explanation:

5 times 2.30 =11.5

10 times 5.10 =51

11.5 times 2 =23

51 to 23

brainliest please thank you

Answer:

Answer vary:

The better buy is 5 cans of green beans at the Village Market.

Step-by-step explanation:

honestly in my opinion that‘s my answer.

if 10 cans cost $5.10 and 5 cans cost $2.30, think about if you add another $2.30 for another 5 cans the cost is $4.60 and you get 10 cans. and that’s obviously cheaper than the other buy.

10 cans = $5.10

5 cans = $2.30.    

(the 5 can offer)

2.30+2.30= $4.60

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