PLSSS HELP
1.Find the surface area
2.Find the volume

Answer:

h(x) and k(x)

Step-by-step explanation:

The functions that exhibit a removable discontinuity are function i(x) and function k(x)

"An equation of the form ax² + bx + c = 0 is a quadratic equation."

"It defines a relation between input and output values."

"This function has a discontinuity at one or more values mainly because of the denominator of a function is being zero at that."

"If adjusting the function's value at the point of discontinuity will render the function continuous, then such discontinuity is called removable discontinuity."

"If adjusting the function's value at the point of discontinuity will not render the function continuous, then such discontinuity is called non-removable discontinuity."

For given question,

1) Consider a function [tex]f(x)=\frac{x^{2} +4x-21}{x^{2} -13x+42}[/tex]

If we factorize the quadratic equation at numerator and denominator then the given function would be,

[tex]f(x)=\frac{(x-3)(x+7)}{(x-7)(x-6)}[/tex]

We can observe that the function f(x) is discontinuous at x = 7 and x= 6.

So, the function f(x) has non-removable discontinuity.

2) Consider a function [tex]g(x)=\frac{2x^{2} -5x+12}{2x+3}[/tex]

We can observe that the function g(x) is discontinuous at x -3/2.

We cannot factorize the quadratic equation at numerator.

So, the function g(x) has non-removable discontinuity.

3) Consider a function [tex]h(x)=\frac{x-3}{x^{2} -9}[/tex]

If we factorize the quadratic equation at denominator then the given function h(x) would be,

[tex]\Rightarrow h(x)=\frac{(x-3)}{(x-3)(x+3)}\\\\\Rightarrow h(x)=\frac{1}{x+3}[/tex]

We can observe that the function h(x) is discontinuous at x = -3

So, the function h(x) has non-removable discontinuity.

4) Consider a function [tex]i(x)=\frac{x^{2} -8x+15}{x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow i(x)=\frac{(x-5)(x-3)}{x-5}\\\\ \Rightarrow i(x)=x-3[/tex]

We can observe that the function i(x) is a continuous function.

So, the function i(x) has removable discontinuity.

5) Consider a function [tex]j(x)=\frac{x+4}{-2x+8}[/tex]

We can observe that the function j(x) is discontinuous at x = 4

And the function j(x) has non-removable discontinuity.

6) Consider a function [tex]k(x)=\frac{2x^{2} +x-15}{2x-5}[/tex]

If we factorize the quadratic equation at numerator then the given function would be,

[tex]\Rightarrow k(x)=\frac{(x+3)(2x-5)}{(2x-5)}\\\\ \Rightarrow k(x)=x+3x^{2}[/tex]

We can observe that the function k(x) is a continuous function.

So, the function k(x) has removable discontinuity.

Therefore, the functions that exhibit a removable discontinuity are function i(x) and function k(x)

Learn more about the removable discontinuity here:

https://brainly.com/question/9648611

#SPJ2

Answer:

E.The price for travelling 150 miles is same for both company.

Step-by-step explanation:

We are given that Joseph is going on a trip and he needs to rent a car.

Company A

Charge $0.25  per mile plus  $50 rental fee.

Company B  charges 40.45 per mile plus $20 rental fee.

A.Total distance=150 miles

Company A

Charges for 150 miles=$37.5

Total charges=37.5+50=$87.5

Company B

Charges for 150 miles==$67.5

Total charge=20+67.5=$87.5

The price for travelling 150 miles is same for both company.

But if distance greater than 150 miles such 155  miles

Company A

Total charge=$88.75

Company B

Total charges=$89.75

Company A is better deal if Joseph more than 150 miles.

If distance 145 miles

Price form company A=$86.25

Price form company B=$85.25

Company B is better deal if Joseph travel less than 150 miles.

Hence, option E is true.

I hope this helps you <3333

Answer: i dont see a square

Step-by-step explanation:

Answer:

She receives 700 country A dollars.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

1.4 country a dollars Per country B dollar

She exchanges 500 country B dollars, so:

1.4 country A dollars - 1 country B dollar

x country A dollars - 500 country B dollars

Applying cross multiplication:

[tex]x = 1.4*500 = 700[/tex]

She receives 700 country A dollars.

Answer:

are those synthetic division?

Answer:

It would travel 157,8 miles with 9 gallons of gas.

Step-by-step explanation:

15 gallons / 263 miles

= 3 gallons / 52,6 miles

= 9 gallons / 157,8 miles.

Answer:

i. ¯x= 8

ii. sx= 4

iii. n= 81

iv. n−1= 80

Step-by-step explanation:

i. ¯x=

This is the sample mean, which is 8 hours.

ii. sx=

Standard deviation of the sample, which is of 4 hours.

iii. n=

Size of the sample, which is 81.

iv. n−1=

Degrees of freedom(sample size subtracted by 1), which is 81 - 1 = 80

Answer:

It would be 11, 23, and 33

Step-by-step explanation:

because, 2 side of the triangle should add up to greater than your other side of the triangle. And so on for each of the sides.  

Answer:

1/6

Step-by-step explanation:

1/2 multiplied by 1/3

Answer:

3/4

Step-by-step explanation:

Each one of them will get 3/4 or 0.75

Answer:

3/4 or 0.75

Step-by-step explanation:

1 1/2 divided by 2 is 3/4 or 0.75

Check:

3/4+3/4=6/4=1 1/2

Hope this helps! Have a nice day :)

Answer:

5.25 cm

per a tr

iangle

Answer:

You must tell me which is the base , width , and height please and thank you

Step-by-step explanation:

Include a picture if you have one too

Answer:

x = -5

Step-by-step explanation:

-4(x+3)=8

(-4)(x)+(-4)(3)=8 (distribute)

-4x - 12 = 8

-4x - 12 + 12 = 8 + 12

-4x = 20

-4x/-4 = 20/-4 =

x = -5

-Elaina <3

Answer:

The answer is  A there you go the other person tricked you he just said easy so he can have enough words to get the points next time do not be fooled :)

Answer:

A. 3x^2 + 4 = 52

     3x^2 = 52 - 4

     3x^2 = 48

       x^2 = 48/3

       x^2 = 16

        x    = [tex]\sqrt{16}[/tex]

        x = 4

B. x^2 - 121 = 0

     x^2  = 121

       x = [tex]\sqrt{121}[/tex]

       x = 11

C. (b + 4 )2 = 49

    2b + 8 = 49

    2b  = 49 - 8

     2b = 41

        b = 41/2

Answer:

20.41

20=nearest whole number

20.4=nearest tenth

20.41=nearest hundredth

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 20.40

Step-by-step explanation:

20.41

       | (Hundreth place)

=20.40 because 1 is smaller than 5 thus you round down.

Answer:

180degreesStep-by-step explanation:

Given the complex value

z² = -81i

z = (-81i)^1/2

Get the argument of -81i

theta = arctan(y/x)

theta = arctan(-81/0)

theta = -90degrees

theta = -π/2

Since tan is negative in the secind quadrant

theta =  π - π/2

theta = π/2

According to demoivres theorem

theta = 1/2 * π/2

theta = π

theta = 180degrees

Answer:

True

Step-by-step explanation:

Answer:

36 is the answer here

Step-by-step explanation:

Well when you subsitute the given values

x=5

and

y=4

2(5+3)+5*4

Now solve it normally like what you would do with orders of operation

10+6+20

Left to right

36

Answer:

f(3)=log9 and f(27)=log81

Answer:

are of trapezoid =1/2×height(a+b)

Step-by-step explanation:

A=1/2×8(10+20)

=4×30

=120cm*

Answer:

3 cups of sugar

Step-by-step explanation:

you increase it as per ratio,in this case ratio is 1.5

Answer:

Your answer would be x = 1/2

Step-by-step explanation:

1/x = 2

You would divide x on both sides...then they would cancel each other out.

But now you're left with...

1 = x•2

So, re-order the terms so constants are on the left

1 = 2x

Divide 2 on both sides...

Now you're left with

1/2=x or more practically it would be x = 1/2

Hope this helps!

Answer:

point B

Step-by-step explanation:

1/5 as a decimal is 0.2 so 3/5 as a decimal is 0.6 and 0.6 is between 0.5 and 0.75 on the number line.

Answer:

the answer is -3

Step-by-step explanation:

[tex] \huge {\star }\: Answer[/tex]

The above equation is applicable for each and every value of a,

So, Correct option is A. True

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

Step-by-step explanation:

Let x = to the number of nickels.

Let x + 7 = the number of quarters.

So multiply x by .05 to find out how much the nickles are worth and

multiply x + 7 by .25  to find out how much the quarters are worth.

Then add them together to get the total and solve.

.05x + .25(x + 7) = 2.65

.05x + .25x + 1.75 = 2.65

.30x + 1.75 = 2.65

Subtract 1.75 from each side of the equation.

.30x = .90

x = 3

x + 7 = 10

So 10 is the number of quarters.

Answer:

Step-by-step explanation:

we only have to have 7 more quarters than nickels.. so put one nickel and 8 quarters

that's $2.05

now make up the rest to make 2.65

add 6 dimes and you've got it :)

1 nickel

6 dimes

8 quarters