The function g: x x + 10x + p is defined for the domain x
Question:
The function g: x ↦ x² + 10x + p is defined for the domain x ∈ R, where p is a constant.
a) Express g(x) in the form (x + a)2 + b + p, where a and b are constants.
b) State the range of g in terms of p.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (8 reviews)
ANSWER a To express gx in the form x a b p we can complete the square as follows gx x 10x ...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...
-
KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...
-
The function f : x 2 4x + k is defined for the domain x p , where k and p are constants. i. Express f(x) in the form (x + a) 2 + b + k, where a and b are constants. ii. State the range of f in...
-
Reflect on the key elements of an effective professional development program. List the top three elements that must be included in an effective professional development program. Does your school's...
-
Pick 3 For the Illinois Lotterys PICK 3 game, a player must match a sequence of three repeatable numbers, ranging from 0 to 9, in exact order (for example, 372). With a single ticket, what is the...
-
For Exercises explain how each experiment can be simulated by using random numbers. Two players match pennies.
-
Explain how a balanced scorecard helps with the evaluation process of internal operations.
-
In a truck-loading station at a post office a small O.200-kg Package is released from rest at point A on a track that is one-quarter of a circle with radius 1.60 m (Fig. 7.39). The size of the...
-
(If necessary, consult a list of formulas.) (a) A certain committee consists of 15 people. From the committee, a president, a vice-president, a secretary, and a treasurer are to be chosen. In how...
-
Suppose there's an appliance store that sells refrigerators. It could set its price high and sell very few refrigerators, or it could set its price low and sell many more refrigerators. The following...
-
Show that a current density with vector potential A(r) = f (r)r has zero magnetic dipole moment.
-
The functions fand g are defined for x R, by f: x x + 4, x R and g: x x + 2, x R. Find the range of fg(x).
-
Prove that you can find a polynomial that passes through any three points (x 1 , y 1 ), (x 2 , y 2 ), and (X 3 , y 3 ), where the x i 's are distinct. p(x) = Ax + Bx + C
-
An auditor should request that an audit client send a letter of inquiry to those attorneys who have been consulted concerning litigation, claims, or assessments. The primary reason for this request...
-
What key elements should be included in a typical job description?
-
Samson Kodua owns Grinds Coffee House, near the campus of Western Community College. The company has cash of \(\$ 18,000\) and furniture that cost $40,000. Debts include accounts payable of \(\$...
-
Discuss the role of psychological testing in the selection process of salespeople.
-
The Fibonacci sequence is the series of integers See the pattern? Each element in the series is the sum of the preceding two items. There is a recursive formula for calculating the nth number of the...
-
Below (Figure 12.20) are the 1H NMR, 13C NMR, IR, and mass spectra of the compound C8H8O. What is the structure of the compound?
-
Chloroplasts are illuminated until the levels of the Calvin cycle intermediates reach a steady state. The light is then turned off. How does the level of RuBP vary after this point?
-
A sample of students from our statistics classes reported their GPAs, indicated their genders, and stated whether they were in the universitys Greek system (i.e., in a fraternity or sorority)....
-
The data below were from the same 25-yearold participants described in How It Works 12.1, but now the scores represent the oldest age that would be acceptable in a dating partner. 25-year-old women...
-
Heyman and Ariely (2004) were interested in whether effort and willingness to help were affected by the form and amount of payment offered in return for effort. They predicted that when money was...
-
Adrienne is a single mother with a six-year-old daughter who lived with her during the entire year. Adrienne paid $2,850 in child care expenses so that she would be able to work. Of this amount, $860...
-
The Burratta Co. purchases a warehouse building with a total acquisition cost of $650,000. The company pays $65,000 cash, and signs a note to pay the remaining $585,000 over the next five years. What...
-
Despite the merits of regressive tax system, many scholars opined that such a tax system is not the best for a low middle income country like Ghana. As a taxation and fiscal policy student, do you...
Study smarter with the SolutionInn App