Suppose that the functions p and q are defined as follows. p(x) = x² +6 q (x)=√x+9 Find the following. (gp) (7) = [] (pg) (7) = [ 4 X 10

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A: Given functons:- fx=1x-5 ,gx=4x+11

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A: see below the answer and calculation

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A: We need to find out the lower quartile of the given data.

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Q: 1. It is known that A = 10 1 1 0 1 -1 0 (a) -3 (b) 6 (c) None of the above values. -2 -1] 1 4 2 1 3…

A: A=10-2-111140121-1038

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A: From the graph : f(g(0))=f(-3)=-1f(f(-6))=f(2)=3

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Q: f(x) = 2x² - 4x +7.

A: Given function f( x ) = 2x2 - 4x + 7

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A: As per our guidelines we can answer only 3 subparts of the given question so kindly repost the…

Q: he equation of the axis of symmetry of the following para y=-x^(2)+2x+3 Submit Answer

A: Axis of Symmetry for parabola y=-x2+2x+3

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A: The given data is: P=$90r=6.5%=0.065t=30 yearsn=2                         ∵semi annually

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A: Given: the edge of the dodecagon is 6 cm.Notice the below diagram for better understanding.

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A: We are given that N(T)=24T2-134T+43T(t)=8t+1.5. Now,                  N(T(t))=248t+1.52-1348t+1.5+43…

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Q: 1 (d) A = 1 4 3 4 51 25 5 , b = 6 0 6

A: Detailed solution will be given below

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A: Given: A candy jar contains 8 red, 7 green, 2 blue and 3 yellow m&amp;m.

Q: PART B: This part is done with only a calculator. 3. Consider the sequence (7,9,11,13,15...) (a) Is…

A: I have solved step by step in detail...go through the solution

Q: Prove that F(T), the collection of sets determined by a time of stop T, is a o- algebra.

A: To prove that F(?) is a σ-algebra, we need to show that it satisfies the following three properties:…

Q: Find F(s). L{e6-tut-6)} F(s) =|

A: To find:- ℒe6-tut-6

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A: We are given graph of f(x). Domain of function [-6,6].

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Q: nd the number of combinations (subsets) of 9 things taken 5 at a time.

A: The number of combinations of 9 things taken 5 at a time is : 9C5

Q: how to set e-8x^7(-56x6) equal to zero

A: Solution ) e-8x^7 ( -56x6) = 0 Product of  these two = 0   either  e-8x^7 = 0 or ( -56x6) = 0 But…