10 Show that the function -x+px-g is negative for all real values of x provided that q is greater than p2. Prove that the function (24-xXx-8) – k is negative for all real values of x provided thatk is greater than 64. Hence, or otherwise, show that the function (6+y)(4-y)6y + 4)(y-2)-65 is negative for all real values of y.
10 Show that the function -x+px-g is negative for all real values of x provided that q is greater than p2. Prove that the function (24-xXx-8) – k is negative for all real values of x provided thatk is greater than 64. Hence, or otherwise, show that the function (6+y)(4-y)6y + 4)(y-2)-65 is negative for all real values of y.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
10
Transcribed Image Text:8 Express -4x-12x 5 in the form -(Ax +B) + C where A, B and C are
integers. Hence, or otherwise, find the range of values of y = -4x2-12x- 5
for xe R.
9 Find the range of values of k for which
values of x. Deduce the range of values of k for which k(x + kr + 3 + k) is
x + kx + 3 + k is positive for all real
positive for all real values of x.
10 Show that the function -x+ px-q is negative for all real values of x
provided that q is greater than p². Prove that the function
(24-xXx-8) - k is negative for all real values of x provided thatk is
greater than 64. Hence, or otherwise, show that the function
(6+y)(4-y)6y + 4)(y-2)-65 is negative for all real values of y.
To be handed in by Wednesday 18th May, 2022.
Please include both your name and group name on any work handed
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