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
solong [7]
2 years ago
7

Given the geometric series: 5×(3)⁴+5(3)³+5(3)²explain why the series converges​

Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

Answer:

45*(9x^2+4)

Step-by-step explanation:

STEP

1

:

Equation at the end of step

1

:

((5x2•(34))+(5•(33)))+(5•32)

STEP

2

:

Equation at the end of step 2

((5x2•(34))+(5•(33)))+(5•32)

STEP

3

:

Equation at the end of step

3

:

((5x2 • (34)) + (5 • 33)) + (5•32)

STEP

4

:

Equation at the end of step 4

((5x2 • (34)) + (5•33)) + (5•32)

STEP

5

:

Equation at the end of step

5

:

((5x2 • 34) + (5•33)) + (5•32)

STEP

6

:

Equation at the end of step 6

((5•34x2) + (5•33)) + (5•32)

STEP

7

:

STEP

8

:

Pulling out like terms

8.1 Pull out like factors :

405x2 + 180 = 45 • (9x2 + 4)

Polynomial Roots Calculator :

8.2 Find roots (zeroes) of : F(x) = 9x2 + 4

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 9 and the Trailing Constant is 4.

The factor(s) are:

of the Leading Coefficient : 1,3 ,9

of the Trailing Constant : 1 ,2 ,4

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 13.00

-1 3 -0.33 5.00

-1 9 -0.11 4.11

-2 1 -2.00 40.00

-2 3 -0.67 8.00

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

45 • (9x2 + 4)

You might be interested in
What is the total amount in an account after 3 years if the interest is compounded annually on an amount of $3200 at 4%?
lorasvet [3.4K]

Answer:

$3599.57

Step-by-step explanation:

Using the compound interest formula Accrued Amount = P (1 + r)^t

where Accrued amount is to be determined

P = principal; $3200

r = 4% = 0.04

t = number of years = 3

Therefore

Accrued amount = 3200 (1 + 0.04)^3

= 3200 x 1.04^3

= 3200 x 1.1249

= 3599.57

The total amount after 3 years is $3599.57

8 0
2 years ago
I need<br> 7<br> 50<br> of fuel in %
docker41 [41]

Answer:

14%

Step-by-step explanation:

4 0
3 years ago
8. The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United
Shkiper50 [21]

Answer:

0.2637

Step-by-step explanation:

Population size is top 15 ranking restaurants.

Number of draws = 3

Number of observed successes = 5

Probability formula :  [r . x } { n -r] [n - x]

solving the equation we get 24 / 91 which is approximately 0.2637

4 0
2 years ago
How do I factor 2x^2 + 11x +5
ASHA 777 [7]
(2x+1)(x+5) is the answer.
4 0
3 years ago
Jen wants to have 8 rose bushes planted on her property. She asked a landscaping company to give her a bid. The contractor wante
Stella [2.4K]

Answer:

Jen saved $320.

Step-by-step explanation:

Since she would like 8 bushes total and 1 = $60, we will multiply (60 x 8) to get a total of $480.

Finally, to find out how much Jen saved, we must subtract Jens final priced total ($480) - the landscapers asking price ($800) to get ( = $320)

Jen payed $480 and saved $320.

Hope this helps...

8 0
1 year ago
Other questions:
  • (2tens1one) times 10
    10·1 answer
  • Is DEF a right triangle? True or false
    8·1 answer
  • Tell whether (2,6) is a solution of y = 3x. (show your work)
    7·1 answer
  • 21 is less than a number
    9·1 answer
  • Find the radius of a cylinder that has a height of 20 and a volume of 7599.
    11·1 answer
  • Can I make a right angle by drawing an acute angle and and an obtuse angle that share a common ray?
    9·1 answer
  • What is the solution to the following equation? (4 points)
    13·2 answers
  • Find the area of the shape​
    5·1 answer
  • These 2 questions ASAP!! BRAINLIEST &amp; 30 points!!
    10·1 answer
  • 18. Chicken patties are sold in packs of 8. Buns are sold in packs of 10. What is the least number of chicken patties &amp; buns
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!