(1) There are 12 points A, B, ... in a given plane, no three on the same line. The number of triangles are determined by the points such that contain the point A as a vertex is: (a) 65 a b O c O d (b) 55 (c) 75 (d) 66

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A: Let's solve vector x in terms of a and b.

Q: when i triple my number and add fiv i get twenty six what is my number

A: Let, Number =x Tripling of  Number +5=26 3x+5=26 3x=26-5 3x=21 x=213 x=7

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A: Given function, f(x)=x2-26x+24

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Q: 2. If 24x (A) 1 (B) 2 (C) 4 (D) 8 (E) 12 16, then x =

A: We have 24x=16

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A: To express the following as cosines.3jej6t-3je-j6t

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A:

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A: The answer is given below:

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Q: K Solve the system. X1 - 6x3 = 23 2x₁ + 4x₂ + x3 = 19 2x2 + 3x3 = -3 Select the correct choice below…

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Q: Sketch the graph of the line through P for each value of m. P(−2, 4);   m = 1, −2, − 1/2

A: See this solution in below.

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Q: Problem 9. Let n ∈ Z. Show that n(n + 1)(n + 2)(n + 3)(n + 4)(n + 5) is divisible by 3, 8, and 5.

A: Given :nn+1n+2n+3n+4n+5 is divisible by 3,8 and 5

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A: Given query is to find the amount spent on fuel.

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A:

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A: Please see the below picture for detailed solution.

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A: NOTE: Refresh your page if you can't see any equations. . x=number of pounds of cashews (price:…

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Q: The functions f(x) and g(x) are graphed below. 5f(? 4 3 2 1 -5 -4 -3 -2 -1 -1 -2 -3 -4 -5 f(x) 1 2 3…

A: Function of f(x) and g(x) is :

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A: Given: The graph of fx=x2+8x+13 and the graph of y=x2 To find: To find the transformations the graph…

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A: To fill the blanks with correct answers.

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A: NOTE: Refresh your page if you can't see any equations. . x=amout loaned at 9% so interest will be…

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A: Given:- The monthly profit P for a widget producer is a function of the number n of widgets sold.…

Q: -7 -6 -5 -4 f(x) || -3 -2 -1 -2 if -3 if 6 5 4 3 2 1 -1 -2 -3 -4 -5 -6 + 1 2 3 4 5 6 7

A:

Q: III X QUESTION 2 Let A = M (f) be the matrix associated with the linear map f((x.y.:)) =…

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Q: 13.y= 5 ²-6

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Q: x + y + z= 3  x + y -z = 3  2x + 2y + z =6  solve using elimination

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Q: four times the smaller of two consecutive even integers is the same as 64 less than five times a…

A: NOTE: Refresh your page if you can't see any equations. . let the consecutive even integers are…

Q: Let f(x) = x 1 Then (fog)(x) (gºf)(x) = 3 and g(x) = 4 | 8 + 3.

A: We can find both the answer in the below steps.