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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 & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 3E
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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
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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