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
lubasha [3.4K]
3 years ago
8

Write an explicit formula for an, the nth term of the sequence 15, 7, -1,....

Mathematics
1 answer:
lbvjy [14]3 years ago
5 0

Answer:

hiiiiiiiiiiiiiii beautiful

You might be interested in
Any answers? No need for an explanation if you want to sure, the answer would be appreciated!
KIM [24]

Answer:

B

Step-by-step explanation:

B: it is only a single equation

8 0
2 years ago
Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)
UkoKoshka [18]

Since the limit becomes the undetermined form

\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}

it means that both polynomials have a root at x=1. So, we can fact both numerator and denominator:

x^3-2x^2+3x-2 = (x-1)(x^2-x+2)

2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)

So, the fraction becomes

\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}

Now, as x approaches 1, you have no problems anymore:

\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}

4 0
3 years ago
What number is 0.68 more than 0.44?
natka813 [3]

Answer:

1.12

Step-by-step explanation:

0.68 + 0.44 = 1.12

3 0
3 years ago
Find the indefinite integral. (Note: Solve by the simplest method—not all require integration by parts. Use C for the constant o
umka2103 [35]

Answer:

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C

Step-by-step explanation:

∫▒〖1st .2nd dx=1st∫▒〖2nd dx〗-∫▒〖(derivative of 1st) dx∫▒〖2nd dx〗〗〗

Let 1st=arctan⁡(x)

And 2nd=1

∫▒〖arctan⁡(x).1 dx=arctan⁡(x) ∫▒〖1 dx〗-∫▒〖(derivative of arctan(x))dx∫▒〖1 dx〗〗〗

As we know that  

derivative of arctan(x)=1/(1+x^2 )

∫▒〖1 dx〗=x

So  

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-∫▒〖(1/(1+x^2 ))dx.x〗…………Eq1

Let’s solve ∫▒(1/(1+x^2 ))dx by substitution now  

Let 1+x^2=u

du=2xdx

Multiply and divide ∫▒〖(1/(1+x^2 ))dx.x〗 by 2 we get

1/2 ∫▒〖(2/(1+x^2 ))dx.x〗=1/2 ∫▒(2xdx/u)  

1/2 ∫▒(2xdx/u) =1/2 ∫▒(du/u)  

1/2 ∫▒(2xdx/u) =1/2  ln⁡(u)+C

1/2 ∫▒(2xdx/u) =1/2  ln⁡(1+x^2 )+C

Putting values in Eq1 we get

∫▒〖arctan⁡(x).1 dx=arctan⁡(x).x〗-1/2  ln⁡(1+x^2 )+C  (required soultion)

3 0
2 years ago
Read 2 more answers
What is the correct answer?
Tasya [4]

Given:

The function is

f(x)=(x+3)^2(x-5)^6

To find:

The zeros of the given function.

Solution:

The general form of polynomial is

P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}       ...(i)

where, a is a constant, c_1,c_2,...,c_n are zeros of respective multiplicities m_1,m_2,...,m_n.

We have,

f(x)=(x+3)^2(x-5)^6

On comparing this with (i), we get

c_1=-3,m_1=2

c_2=5,m_2=6

It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.

Therefore, the correct option is B.

5 0
2 years ago
Other questions:
  • Need help please!!!!!
    9·2 answers
  • Solve the inequality. 4 + 9x > 8 − 3x
    15·2 answers
  • Complete the square to determine the maximum or minimum value of the function defined by the expression. x2 + 12x + 42
    11·2 answers
  • In a triangle find the Remote exterior angle given the remote interior angles are 27 and 53
    15·1 answer
  • A social scientist uses a survey to study how much time per day people spend doing yard work. The variable given on the survey w
    9·1 answer
  • Malene wrote the equation x² + 8x + 60 = x² + 12x + 20 to show that the area of a changed rectangle is 60 cm² greater than the a
    11·2 answers
  • At 7am the temperature was -4 degrees. by 3pm the temperature had gone up by 10 degrees. what was the temperature at 3am
    10·2 answers
  • What is 18+5-y.this is first question
    14·1 answer
  • If ‘a ’ is a factor of ‘b ’, then the H.C.F. of a and b is​
    9·1 answer
  • You are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on con
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!