Which function is continuous at X equals 18

Which Function Is Continuous At X Equals 18

Answers

Answer 1

Answer: A

Step-by-step explanation:

pretty sure :)

Answer 2

Using the continuity concept, it is found that the function that is continuous at x = 18 is given by:

[tex]f(x) = \frac{(x - 18)^2}{x}[/tex]

What is the continuity concept?

A function f(x) is continuous at x = a if it is defined at x = a, and:

[tex]\lim_{x \rightarrow a^-} f(x) = \lim_{x \rightarrow a^+} f(x) = f(a)[/tex]

In this problem:

In the first function, all these characteristics are respected, hence, the function is continuous.For the second function, x = 18 is zero of the denominator, hence the function is not defined at x = 18.For the third function, the tangent is not defined at [tex]0.5\pi[/tex], as [tex]\cos{0.5\pi} = 9[/tex], hence the function is not defined at x = 18.

In the fourth function:

[tex]f(18) = 36[/tex]

[tex]\lim_{x \rightarrow 18^-} f(x) = 18^2 \neq 36[/tex]

Hence also not continuous.

You can learn more about the continuity concept at https://brainly.com/question/24637240


Related Questions

Please help me with this!!

Answers

Answer: The answer is y = 3x +4.

Answer:

option 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = [tex]\frac{6-5}{6-3}[/tex] = [tex]\frac{1}{3}[/tex]

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y = [tex]\frac{1}{3}[/tex] x + 4 ← equation of line

Find the perimeter of the image below: (4 points)

Answers

Hi. I do not see a image below :)


its asking for the surface area of the sphere

Answers

Answer:

89^2π

Step-by-step explanation:

Using the formulas

A=4πR2

D=2r

Solving for A

A=πD2=π·89^2≈24884.55541

If 0.142857142857......is expressed in the form m/n, then what is the value
of (2m + n)?​

Answers

Answer:

The value will be: 1,285,713

Step-by-step explanation:

We have the number:

N = 0.142857...

Such that we have 6 decimals after the decimal point that repeat infinitely.

Then let's start by multiplying our number by 1,000,000 (same number of zeros as decimals after the decimal point)

Then we get:

1,000,000*N = 142,857.142857...

Now let's subtract N from both sides:

1,000,000*N - N =  142,857.142857... - 0.142857...

999,999*N = 142,857

Now let's isolate N

N = 142,857/999,999

Here is our number expressed in the form m/n, where:

m = 142,857

n = 999,999

Then the value of (2*m + n) is:

(2*142,857 + 999,999) = 1,285,713

If you apply the changes below to the linear parent function, fx) = x, what is
the equation of the new function?
• Vertically stretch by a factor of 4.
• Flip over the x-axis.
O A g(x) = - 1/4 x
B. g(x) = -1/4x-1
O C. g(x) = -4x
O D. g(x) = 1/4x

Answers

Answer:

C

Step-by-step explanation:

A vertical stretch is accomplished by multiplying the parent by the stretch factor (given as 4 in this problem).  At that point, the function is

h(x) = 4x

To flip over the x-axis, change the sign of the function's rule.

g(x) = -4x

In the attached image, f(x) = x is purple, h(x) = 4x is black, g(x) = -4x is red.

the triangle has a base of 2 units and a height of 6 units was the area​

Answers

The answer is in the box. The 2 units are 6 and the hight of it.

Which of the following are abiotic factors in an ecosystem? (select all)
water
trees
sun
grass
sand

Answers

Water. ••• All living organism needs some water intake.

A large can of soup contains 19 fl oz A serving is about eight Oz How many Canz should you buy if you want to serve How many Cans should you buy if you want to serve 7 people

Answers

Answer:

2.95 cans of soup

Step-by-step explanation:

A large can of soup contains 19 fl oz A serving is about eight Oz How many Canz should you buy if you want to serve How many Cans should you buy if you want to serve 7 people

Step 1

From the above question:

1 serving = 1 Person

1 person = 8oz

7 persons = x

Cross Multiply

x = 7 × 8oz

x = 56 oz

Step 2

56 oz will serve 7 people

M

From the question also, we are told that:

19 oz = 1 can of soup

56 oz = x

Cross Multiply

19x = 56 × 1

x = 56 /19

x =2.9473684211 cans of soup

Approximately

2.95 cans of soup will serve 7 peop


the profit equation for a manufactioring company is p=x^2-2500 where p is profit, and x is number of units sold. For what number of units sold does the company break even? (p=0)

Answers

Answer:

For the company to break even, the number of units sold is 500 units

Step-by-step explanation:

To get this number of units, we simply substitute the value of 0 for p

we have this as;

0 =x^2 -2500

x^2 = 2500

x = √2500

x = 500 (we do not consider the other root of x = -500 since the number of quantities cannot be negative)

Who could help me with this please and thank you

Answers

Answer:

the solutions are (1,-3) and (4,-6)

Which ratio below would work for finding the angle measure of ⦣C?

Question 19 options:

Sin C= 12/15


Sin C= 9/12


Tan C= 9/12


Cos C= 9/15

Answers

Answer:

[tex]\huge\boxed{\tan C=\dfrac{9}{12}}[/tex]

Step-by-step explanation:

[tex]sine=\dfrac{opposite}{hypotenuse}[/tex]

We have:

[tex]opposite=9\\hypotenuse=15[/tex]

Substitute:

[tex]\sin C=\dfrac{9}{15}[/tex]

[tex]cosine=\dfrac{adjacent}{hypotenuse}[/tex]

We have:

[tex]adjacent=12\\hypotenuse=15[/tex]

Substitute:

[tex]\cos C=\dfrac{12}{15}[/tex]

[tex]tangent=\dfrac{opposite}{adjacent}[/tex]

We have:

[tex]opposite=9\\adjacent=12[/tex]

Substitute:

[tex]\tan C=\dfrac{9}{12}[/tex]

12. Air pods costing $265 are advertised as 20% off. Determine their sale price. Show all work.

Answers

Answer:

$212

Step-by-step explanation:

265 • .2 = 53

265-53=212

two coins are tossed together What is the probability of obtaining
(1)exactly one tail
(2)at least one head
(3)no tails?​

Answers

So the sample space is S={HH,HT,TTTH}
1) 2/4
2) 3/4
3) 1/4

Match each cone’s measures to its corresponding volume.


•base area=16in2 height=6in


•Diameter=12in height=5in


•Radius=5in height=4


V=60 in3


V=100/3 in3


V=32 in3

Answers

Answer:

Step-by-step explanation:

Match each cone’s measures to its corresponding volume.

The formula for the volume of a cone is given as:

πr²h/3

a) base area=16in² height=6in

Base area of a cone = πr²

Hence, volume of this cone = 16in² × 6 in

= 96in³

•Diameter=12in height=5in

•Radius=5in height=4

V=60 in3

V=100/3 in3

V=32 in3

Answer:

Radius=                         v=100/3 pie in ^3

base area=                    v=32 pie in. ^3

Diameter                        v=60 pie in ^3

6 times 6? Will mark Brainliest!

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

guys I need help in both please​

Answers

Answer:

Graph 1 is not proportional

Graph 2 is proportional - y is 2 times x

Step-by-step explanation:

In graph 1, there is no x-y correlation

In graph 2, there is, when x=1, y=6

when x=2, y=12. Therefore, when x=3 y would equal 18.


Does anybody know what g(x)=3 when x ?

Answers

Answer:

9

Step-by-step explanation:

g(x) = y

So to find x when g(x) = 3, go look at the y = 3 line and find the point, in this case (9,3) the x value (9) is your answer.

HELP PLEASE! THANKS.
FILLER FILLER FILLER FILLER​

Answers

Step-by-step explanation:

your answer is right now

What is the area of a triangle with a base of 10 cm and a height of 4 cm?

Answers

Answer:

Multiply 10cm by 4cm, which gives you 40cm^2 and then divide by 2cm. 40cm^2 divided by 2cm equals 20cm^2.

You eat 1 random piece of chocolate from a box with 8 coffee flavored and 9 mint flavored pieces.

Answers

Answer:

more likely mint

Step-by-step explanation:

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Answers

Answer:

y=4x+2 or f(x)=4x+2

Step-by-step explanation:

This is because the equation format for a line is y=mx+b, the slope is m and the y-intercept is b. So all you have to do is fill it out to get y=4x+2. Or the other way I listed the equation is right too. Hope this helps!

The regular formula for slope is y=mx+b
Y=mx+b
m-slope
b- y-intercept

So you’re answer would be
Y=4x+2

Select all values that are equivalent to 4/-3

Answers

Whattttttt help meeeee

Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inches. The height of the cone is 33 inches. What is the volume of Nuala's cone? Remember: C= pi x diameter

Answers

Answer:

34072.3 in³

Step-by-step explanation:

Step 1

The circumference of its base is 125.6 inches.

C= pi x diameter

Find the radius of the base

C/ π = Diameter

Diameter = 125.6 in/2

= 62.8 in

Step 2

The height of the cone is 33 inches.

Radius = Diameter/2

Radius = 62.8 in/2

= 31.4 in

Volume of a cone: V = (1/3)πr²h

= 1/3 × π × (31.4)² × 33

= 34072.33162 in³

Approximately = 34072.3 in³

Therefore, the volume of Nuala's cone is 34072.3 in³.

Help me and show your work <3

Answers

Answer:

25 on A

24 on B

Step-by-step explanation:

So for team A, x can be the total amount.

[tex]\frac{1}{5} x=5[/tex]

x = 25

25 players on team A.

For team B, let y be the total amount.

[tex]\frac{1}{8}x =3[/tex]

x = 24

24 players on team B.

Eric made strawberry jam and raspberry jam. He made enough strawberry jam to fill 6 jars. If he made 4/5 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?

Answers

Answer:

About 5 jars to fill

PLEASE HELP ASAP!! GIVING AWAY BRAINLY if correct AND PLUS 100 pts

Circle A is located at (6, 5) and has a radius of 4 units. What is the equation of a line that is tangent to circle A from point C (2, 8)?

x = 2
y = −0.75x + 9.5
y = 1.33x + 1.66
x = 8

Answers

Answer:

x=2

Step-by-step explanation:

got it right on the test i promise

The equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

It is given that:

Circle A is located at (6, 5) and has a radius of 4 units.

First, find the slope of the radius

As we know, the ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The line passes through (2, 8) and (2, 5)

y - 5 = (-3/0)(x -2)

-x + 2 = 0

x = 2

Thus, the equation of the line that is tangent to circle A from point C (2, 8) is x = 2 option (A) x = 2 is correct.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

A spinner is divided into six equal sections. Each segment is colored blue, yellow, or red. The spinner is spun 240 times with results of 80 blue, 120 yellow, and 40 red. How many sections of the spinner would be expected to be colored yellow?
A. 1 section
B. 2 sections
C. 3 sections
D. 4 sections

someone please help!!!! <3

Answers

Answer:

2

Step-by-step explanation:

Can someone plz help me with this one problem plz plz!!!

Answers

Answer:

50.27

Step-by-step explanation:

thats the answer I worked on a laptop so i dont have work.

Answer:

4^4 = 16

16 x 3.14 = 50.24

Step-by-step explanation:

Formula of an area of a circle:

3.14(pi) x r(radius)^2(squared)

A cylinder has a radius of 5 cm and a height of 12 cm, what is the volume?

Answers

Step-by-step explanation:

In a cylinder

Radius=r=5cmHeight=h=12cm

We know that

[tex] \boxed { \sf \: volume = \pi {r}^{2} h} \\ \rm \rightharpoonup \: \frac{22}{7} \times {5}^{2} \times 12 \\ \rm \rightharpoonup \: \frac{22}{7} \times 25 \times 12 \\ \rm \rightharpoonup \: \frac{6600}{7} \\ \rm \rightharpoonup \: 942.8cm {}^{3} [/tex]

Answer:

approx. 943 cm^3

Step-by-step explanation:

π × 5^2 x 12 = approx. 943 cm^3

There were 9 roses in the vase. Nancy cut some more roses from her flower
garden. There are now 16 roses in the vase. How many roses did she cut?

Answers

Answer:

7 roses

Step-by-step explanation:

16-9=7

Answer:she cut 7 roses

Step-by-step explanation:

she has 9 roses in the vase she cut 7 roses from her garden to get 16

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