1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
viva [34]
2 years ago
5

Which graph represents a function?

Mathematics
1 answer:
krok68 [10]2 years ago
5 0

Answer:

The LAST graph, the horizontal line.

Step-by-step explanation:

The first three graphs do NOT pass the vertical line test. The last graph does. It clearly has only one y-value for each x-value. The function is the last one!

You might be interested in
Circle A has a radius of 17 inches. what is the circumstance of Circle A
Rasek [7]

Answer:

106.76

Step-by-step explanation:

The formula to calculate the circumference if you know the radius is as follows: Circumference = 2 x Radius x π π = Pi = 3.14, thus, the math to calculate the circumference of a circle with a radius of 17 is: 2 x 17 x 3.14 = 106.76

3 0
2 years ago
What did Sam Houston get from the Texan victory??
faust18 [17]

Answer: He got to be elected president of the Republic of Texas.

4 0
3 years ago
Read 2 more answers
Define the double factorial of n, denoted n!!, as follows:n!!={1⋅3⋅5⋅⋅⋅⋅(n−2)⋅n} if n is odd{2⋅4⋅6⋅⋅⋅⋅(n−2)⋅n} if n is evenand (
tekilochka [14]

Answer:

Radius of convergence of power series is \lim_{n \to \infty}\frac{a_{n}}{a_{n+1}}=\frac{1}{108}

Step-by-step explanation:

Given that:

n!! = 1⋅3⋅5⋅⋅⋅⋅(n−2)⋅n        n is odd

n!! = 2⋅4⋅6⋅⋅⋅⋅(n−2)⋅n       n is even

(-1)!! = 0!! = 1

We have to find the radius of convergence of power series:

\sum_{n=1}^{\infty}[\frac{8^{n}n!(3n+3)!(2n)!!}{2^{n}[(n+9)!]^{3}(4n+3)!!}](8x+6)^{n}\\\\\sum_{n=1}^{\infty}[\frac{8^{n}n!(3n+3)!(2n)!!}{2^{n}[(n+9)!]^{3}(4n+3)!!}]2^{n}(4x+3)^{n}\\\\\sum_{n=1}^{\infty}[\frac{8^{n}n!(3n+3)!(2n)!!}{[(n+9)!]^{3}(4n+3)!!}](x+\frac{3}{4})^{n}\\

Power series centered at x = a is:

\sum_{n=1}^{\infty}c_{n}(x-a)^{n}

\sum_{n=1}^{\infty}[\frac{8^{n}n!(3n+3)!(2n)!!}{2^{n}[(n+9)!]^{3}(4n+3)!!}](8x+6)^{n}\\\\\sum_{n=1}^{\infty}[\frac{8^{n}n!(3n+3)!(2n)!!}{2^{n}[(n+9)!]^{3}(4n+3)!!}]2^{n}(4x+3)^{n}\\\\\sum_{n=1}^{\infty}[\frac{8^{n}4^{n}n!(3n+3)!(2n)!!}{[(n+9)!]^{3}(4n+3)!!}](x+\frac{3}{4})^{n}\\

a_{n}=[\frac{8^{n}4^{n}n!(3n+3)!(2n)!!}{[(n+9)!]^{3}(4n+3)!!}]\\\\a_{n+1}=[\frac{8^{n+1}4^{n+1}n!(3(n+1)+3)!(2(n+1))!!}{[(n+1+9)!]^{3}(4(n+1)+3)!!}]\\\\a_{n+1}=[\frac{8^{n+1}4^{n+1}(n+1)!(3n+6)!(2n+2)!!}{[(n+10)!]^{3}(4n+7)!!}]

Applying the ratio test:

\frac{a_{n}}{a_{n+1}}=\frac{[\frac{32^{n}n!(3n+3)!(2n)!!}{[(n+9)!]^{3}(4n+3)!!}]}{[\frac{32^{n+1}(n+1)!(3n+6)!(2n+2)!!}{[(n+10)!]^{3}(4n+7)!!}]}

\frac{a_{n}}{a_{n+1}}=\frac{(n+10)^{3}(4n+7)(4n+5)}{32(n+1)(3n+4)(3n+5)(3n+6)+(2n+2)}

Applying n → ∞

\lim_{n \to \infty}\frac{a_{n}}{a_{n+1}}= \lim_{n \to \infty}\frac{(n+10)^{3}(4n+7)(4n+5)}{32(n+1)(3n+4)(3n+5)(3n+6)+(2n+2)}

The numerator as well denominator of \frac{a_{n}}{a_{n+1}} are polynomials of fifth degree with leading coefficients:

(1^{3})(4)(4)=16\\(32)(1)(3)(3)(3)(2)=1728\\ \lim_{n \to \infty}\frac{a_{n}}{a_{n+1}}=\frac{16}{1728}=\frac{1}{108}

4 0
3 years ago
Solve for u<br> 7=u/4-16
artcher [175]

Answer:

u=92

Step-by-step explanation:

Like and give 5 star rating

7 0
2 years ago
Ollie and 5 of his friends are going bowling. The cost for each of them is $12.30. How could you mentally go about finding the t
nika2105 [10]

Answer:

The answer is 73.8

Step-by-step explanation:

Just multiply 12.30 by 6 5 friends and olly

4 0
2 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is 45 inches and the width is 8 inches. a similar rectangle has a width of 24 inches. what is the peri
    8·1 answer
  • The diagonals of a parallelogram are 2.3cm and 3.2cm long. Can you tell if the parallelogram is a rhombus? Explain how you know.
    8·1 answer
  • The difference of 4x and 3 is -6
    13·1 answer
  • Which function has a range of y &lt; 3?<br> Oy=3(2)<br> y=2(3)*<br> y=-(2)* +3<br> O y= (2)* - 3
    10·1 answer
  • Find the value of x. 8,13,x
    6·1 answer
  • C. The product of two integers is +45. If one of is -9. What is the<br>other?​
    15·2 answers
  • Thomas received $200.00 for his birthday. He worked building cabinets for 3 days and made $48.75 per day. Then he bought a new d
    5·2 answers
  • Lic/activity/6000001/assessment
    13·1 answer
  • 1. Emily wants to buy turquoise stones on her trip to New Mexico to give to at least 4 of her friends. The
    14·1 answer
  • 3,668 &gt; 13,667
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!