The coefficient of x 3 in the expansion of (3 + bx) 5 is 720. Find the
Question:
The coefficient of x3 in the expansion of (3 + bx)5 is −720. Find the value of the constant b.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 42% (7 reviews)
To find the value of the constant b we can use the Binomial Theorem ...View the full answer
Answered By
ROXAN VEGA
I have extensive hands-on experience and proficiency in assisting students in various subjects. During my tutoring sessions, I prioritize creating a supportive and engaging learning environment. I strive to understand each student's unique learning style and tailor my teaching methods accordingly. I am patient, empathetic, and skilled at breaking down complex concepts into simpler, more manageable parts. I encourage active participation and discussion, promoting critical thinking and problem-solving skills.
One of my strengths as a tutor is my ability to adapt to different learning needs and styles. I can explain difficult concepts using real-life examples, visual aids, or interactive exercises, depending on what works best for the student. I also provide clear explanations, answer questions, and offer guidance in a clear and concise manner.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
1. Determine the middle term in the binomial expansion of (x + y)20. 2. Determine the middle term in the binomial expansion of (x + y)10. 3. Determine the coefficient of x2 in the expansion of (1 +...
-
Find the coefficient of x3 in the expansion of: a. (4 + x) 4 b. (1 x) 5 c. (3 + 2x) 3 d. (4 + 2x) 5 e. (2 + x) 6 f. (4 1/2 x) 4 g. (x + 2) 5 h. (3 2x) 4
-
The 16th row of Pascals triangle is shown below. a. Find the next two values in the row. b. Hence find the coefficient of x3 in the expansion of (1 + 2x) 15 . 1 15 105
-
On July 1, 2021, Katrina purchased tax-exempt bonds (face value of $75,000) for $82,000. The bonds mature in five years, and the annual interest rate is 3%. a. How much interest income and/or...
-
Hulme Company operates a small manufacturing facility as a supplement to its regular service activities. At the beginning of 2014, an asset account for the company showed the following balances:...
-
Sarah is a CPA working in financial reporting for a large private company. If she accepts gifts from a vendor of her company, and if those gifts are not reasonable given the circumstances, what rule...
-
Find the critical value for the ???? = 0.01 level of significance. Exercises 1015 refer to the following data: Anthropologists can estimate the birthrate of an ancient society by studying the age...
-
Name and describe the four types of markets recognized by economists and discuss the pricing challenges posed by each.
-
If you purchase an annuity for $50,000 that pays $5,000 per year for 20 years, how much will the annuity pay out in the last year.
-
Target Corporation reported the following on its income statement. For 12 Months Ended ($ millions) Feb. 2, 2019 Feb. 3, 2018 Jan. 28, 2017 Total revenue $75,356 $72,714 $70,271 Cost of sales 53,299...
-
If x is so small that terms of x 3 and higher can be ignored, show that: (2 + x)(1 3x) 5 2 29x + 165x 2
-
Use the binomial theorem to find the first four terms in the expansion of: a. (1 + x) 10 b. (1 2x) 5 c. (1 + 3x) 6 d. (2 x) 8 e. ( 2 1/2x) 10 f. (3 x) 7
-
Consider the system in Problem 92 and assume the coefficient of kinetic friction between the mass and the incline is 0.17. (a) At what position, measured from the starting point, does the maximum...
-
If a person is a part owner of an S-corporation, how would their tax returns differ from just being an employee of an S-corporation?
-
Imagine that you are going to visit your friend. Before you get there, you decide to stop at the variety store. If you walk 200 m [N] from your home to the store, and then travel 600 m [S] to your...
-
A CMO structure is created with one floater and one inverse floater class. The payment to the floater is 6-month LIBOR + 150 basis points. The inverse floater payment is based on the following...
-
The weight of 1 cu ft of #2 fuel oil is about 53.125pounds. the weight of 1 cu ft of water is about 62.5 pounds. find the ratio of the weight of the fuel to the weight of the water
-
Sunland Industries produces and sells cell phone-operated home security control systemfis costs and sales during May 2025 is as follows. Unit selling price $45.00 Unit variable costs $23.85 Se Total...
-
If John purchased $100,000 of insurance, how much would he collect for a $40,000 loss? How much would he collect for a total loss?
-
Classify each of the following activities as proper or prohibited under the various consumer statutes you have studied. a. Calling a hospital room to talk to a debtor who is a patient there. b....
-
The property tax paid by homeowners in a large city was determined to be normally distributed with a mean of $2,800 and a standard deviation of $400. A random sample of four homes was drawn. a. What...
-
Refer to Exercise 9.36. Does your answer change if you discover that the times needed to mark a midterm test are not normally distributed?
-
The sign on the elevator in an office tower states, Maximum Capacity 1,140 kilograms (2,500 pounds) or 16 Persons. A professor of statistics wonders what the probability is that 16 persons would...
-
Casey Co. is a content creation and development business that you run. From time to time, Casey Co. uses free lancers to help with projects including several large content development projects for...
-
What is the critical leadership problem facing the 2nd ABCT and how will you use the processes and concepts from L100 to improve the ABCT and achieve your vision? Clearly and comprehensively explain,...
-
Gender-based violence has a detrimental impact on mental health, damaging the sense of self-worth and triggering depression, self-harm, PTSD, anxiety, and suicidal ideation, as well as having...
Study smarter with the SolutionInn App