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
Sphinxa [80]
3 years ago
9

What is the formula for the following arithmetic sequence? -9 , -2 , 5 , 12

Mathematics
2 answers:
AURORKA [14]3 years ago
8 0
You add 7 to get the next number in the sequence:
-9 + 7 = -2; -2 + 7 = 5; 5 + 7 = 12; and so on.
nirvana33 [79]3 years ago
7 0
First term:  -9
Common difference:  7


a(n) = -9 + 7(n-1), for n = {1, 2, 3, ... }

Check:  what is the first term?  let n=1.   Then a(1) = -9 + 7(1-1) = -9.  
This is correct.
You might be interested in
I’m not sure how to do this
Brums [2.3K]

Answer: lim as x → -5 of f(x) and g(x) = 300

               Domain of f(x) and g(x) is All Real Numbers

               f(-5) = 200

               g(-5) = 300

<u>Step-by-step explanation:</u>

The limit of f(x) as x approaches -5:

f(x) =\dfrac{4x^3+500}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+125)}{x+5}\\\\\\.\qquad =\dfrac{4(x^3+5^3)}{x+5}\qquad \text{we can factor the cubic}\\\\\\.\qquad =\dfrac{4(x+5)(x^2-5x+25)}{x+5}\\\\\\.\qquad =4(x^2-5x+25)\\\\\\\text{as x approaches -5, f(x) = }4[(-5)^2-5(-5)+25]\\\\.\qquad \qquad \qquad \qquad \qquad =4(25 + 25 + 25)\\\\.\qquad \qquad \qquad \qquad \qquad =4(75)\\\\.\qquad \qquad \qquad \qquad \qquad =300

The limit of g(x) as x approaches -5:

g(x) = 4x² - 20x + 100

      = 4(-5)² - 20(-5) + 100

      = 100 + 100 + 100

      = 300

There is a restriction at x = -5 for f(x), however, that discontinuity has been filled with the 200 at x = -5. So the domain is ALL REAL NUMBERs.

There are no restrictions on x for g(x) so the domain is ALL REAL NUMBERs.

5 0
3 years ago
What percent of 42 is 32
Radda [10]

Answer:

76%

Step-by-step explanation:

In order to find the answer to this question you must divide the output of dividing 42 and 32 by 100 to receive the answer.

42/32

42/32=1.3125    

100=1.3125*x      

100/1.3125=x

76.1904761905=x

x=76.1904761905

Hope this helps.

8 0
3 years ago
What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
Leya [2.2K]
No matter the number of times you rolled the dice, the probability of getting a number is always 1/6. But here we can choose 4 numbers ( 1 to 4) hence the probability P( 1 or 2 or 3 or 4) = 4/6 2/3  = 0.6667 = 66.67% (A)


4 0
3 years ago
Read 2 more answers
Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
there are 12 students who play the clarinet and 16 students who play the viola. what does the ratio 16:12 describe?​
Oksi-84 [34.3K]

Answer: The ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

Step-by-step explanation:

Given : Number of students who play the clarinet= 12

Number of students who play the viola=16

We know that ratio of A to B is represented by A:B.

Since, the number '12' is representing " students who play the clarinet" and  number '16' is representing  " students who play the viola"

So , the ratio 16:12 describes the ratio of the number of students who play the viola to the students who play the clarinet.

6 0
3 years ago
Other questions:
  • Susan buys a used car for $6,500 And finances it by making monthly payments of $325. How long will it take her to pay for the ca
    12·1 answer
  • Help ASAP! Find x: 4−x/5 + x+2/3 =6 Thank you!
    7·2 answers
  • Find x. Assume that segments that appear tangent are tangent.
    14·1 answer
  • Starting time2:00 pm Ending time 8:30 what was the elapsed time
    9·2 answers
  • Let b = 8.
    11·1 answer
  • What is the simplified form of √45
    12·1 answer
  • △RST is shown below. XU = –2y + 15 and XW = 3y + 5. <br><br>PLEASE HELP ME
    6·1 answer
  • Would be great if someone could solve this for me I’m not too sure how to do it .
    14·1 answer
  • Please answer this correctly
    7·1 answer
  • Ma Johnson gives 1/6 of 1 pizza to each of her 25 students
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!