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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Answer:

37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

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

Step-by-step explanation:

Step 1: Identify

Leg a = 35

Leg b = 12

Hypotenuse c

Step 2: Solve for c

Answer:

Step-by-step explanation:

Given function

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:

Substitute a and solve for c:

Find a:

The equation of the function:

Answer:

17-gon

Step-by-step explanation:

There are 17 sides of the polygon.

Answer:

45 quizzes

Step-by-step explanation:

Answer:

B family size

Step-by-step explanation:

The lender will not consider family size when reviewing your 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;

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Answer:

fhewufhaoiwefaoewpfjawepiofaowpeffwefawefa

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

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

Answer:

ahahha free points for me

Answer:

x° = 79°

z° = 101°

Step-by-step explanation:

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.

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

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.

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

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

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

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.

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

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

Answer:

It's the first one and the second one.

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

use the Pythagorean theorem

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!!!

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.

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:

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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]

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

:.

Answer:x<-15

Step-by-step explanation:

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:

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)

Answer:

15 hope this helps!!!!

Step-by-step explanation: