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
romanna [79]
3 years ago
10

. Using the Binomial Theorem explicitly, give the 15th term in the expansion of (-2x + 1)^19

Mathematics
1 answer:
timofeeve [1]3 years ago
3 0
Let's rewrite the binomial as:
(1 - 2x)^{19}

\text{Binomial expansion:} (1 + x)^{n} = \sum_{r = 0}^n\left(\begin{array}{ccc}n\\r\end{array}\right) (x)^{r}

Using the binomial expansion, we get:
\text{Binomial expansion: } (1 - 2x)^{19} = \sum_{r = 0}^{19}\left(\begin{array}{ccc}19\\r\end{array}\right) (-2x)^{r}

For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.

Thus, the fifteenth term is:
\text{Binomial expansion (15th term):} \left(\begin{array}{ccc}19\\14\end{array}\right) (-2x)^{14}
You might be interested in
Solve For X. Solve similar triangles (advanced)​
satela [25.4K]
4+3 = 7
7^2 +6^2
49+36 = 85
Radical85 = 9.21
So x will be 3.9
3 0
3 years ago
Marla did 65 sit ups each day for one week used to the distributive propertyto show an expression you can use to find the total
Oxana [17]
You could use the following 65 (7)
8 0
3 years ago
0: Shelby set a goal to run 3.1 miles. Today she ran 2.6 miles. What percent of her goal did she run?
alukav5142 [94]

Answer:

83.8% or 84%

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
draw a strip diagram to Model 5 hours 8 minutes minus 3 hours 12 minutes write an equation to find the difference
attashe74 [19]
You can convert everything in minutes once you've solved it you turn it back to hours and minutes....5hrs and 8min= 308min....3hrs 12min=192min....308-192=116.....116 is 1hr and 56min

8 0
3 years ago
Solve. You must factor first.<br><br> 2n^2 +9n - 35=0
Ksivusya [100]

Answer:

Step-by-step explanation:

2n² + 9n - 35 = (2n-5)(n+7)

n = 2.5, -7

7 0
3 years ago
Read 2 more answers
Other questions:
  • PLEASE HELP! Christy rolls a number cube and then chooses a card from a set numbered 1 through 9. What is the probability that s
    10·1 answer
  • Which descriptions from the list below accurately describes the relationship between ABC and DEF?
    9·2 answers
  • Lines C and D are represented by the equations given below: Line C: y = x + 6 Line D: y = 3x + 2 Which of these shows the soluti
    15·1 answer
  • Describe the number 68 in tens and ones
    13·2 answers
  • Write as an ordered pair. 4x+2y=16 and -4y+x=4
    13·2 answers
  • Solve the following compound inequality.<br><br> 5x+7&lt;=-3 or 3x-4&gt;=11
    6·1 answer
  • Classify the number (choose all that apply): -20 *
    5·1 answer
  • Looking at the histogram, how many students took the exam? <br>A: 37<br>B: 14<br>C: 5<br>D: 28​
    6·2 answers
  • X(x+3)(x+3)=0 Plz I need this fast!
    9·1 answer
  • A sample contains 61 pairs of values. Find the critical value for the linear correlation coefficient from Table A-6 correspondin
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!