Explain why S is not a basis for R². S = {(-5, 7)} O Sis linearly dependent. O s does not span R2. O sis linearly dependent and does not span R2.

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A: As per bartleby guidelines we only give first questions answers.

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Q: 415 - 225= %3D

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Q: -0.0119 y=Yoe

A: answer is in next step

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Q: Suppose that the functions h and g are defined as follows. h (x) = (3+x)(-4+x) g (x) = 1-7x (a) Find…

A: Given functions h(x)= (3+x)(-4+x) g(x) = 1-7x

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A: Show that matrix A and B are row equivalent.

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A: We can solve this as follows:

Q: 1005- = 315

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A: Explained below

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Q: Solve the quadratic equation using the quadratic formula.  -5x2-6x=-3

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A: Topic = Algebra

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A: 24) a) To explain how a table helps you solve the inequality.

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A: We can solve the given problem as follows:

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Q: For each set of three lengths, determine if they can be the side lengths of a triangle. Can be side…

A: Explanation of the answer is as follows

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Q: Write the standard basis for the vector space. M4,1

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Q: a) f(x) = x² + x; b) f(x)= 2x +3x-4 (0) S(3). f(-3) f(0),f(1),f(-1)

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Q: e Find the matrix M of the linear transformation T : R² → R² given by -9x1 + 5x2 3x1 – *2 T M

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Q: Find u - v, 2(u + 3v), and 2v – u. u = (5, 0, -3, 8), v = (0, 2, 8, 5) (a) u - v = (b) 2(u + 3v) =…

A: The objective of the question is evaluate the given values.

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Q: 9. Plot 1 and 25 on the number line below. 10

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