Use the commutative and/or associative laws to write a series of steps verifying the given statement.(y + z) + 4 is equivalent to (4 + z) + y

What will be an ideal response?


(y + z) + 4 = 4 + (y + z) Using the commutative law
= 4 + (z + y) Using the commutative law
= (4 + z) + y Using the associative law

Mathematics

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Find the Maclaurin series for the given function.e-8x

A.
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Mathematics

Write the equation either in the form (y - k)2 = a(x - h) or (x - h)2 = a(y - k).y2 + 2y - 9x - 26 = 0

A. (y + 1)2 = 9(x - 3) B. (y - 1)2 = 9(x + 3) C. (y + 1)2 = 9(x + 3) D. (y - 1)2 = -9(x + 3)

Mathematics

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = x5 + x4 + x2 + x + 2

A. 5; 0 positive zeros; 1 negative zero B. 5; 0 positive zeros; 3 or 1 negative zeros C. 5; 0 positive zeros; 2 or 0 negative zeros D. 5; 0 positive zeros; 0 negative zeros

Mathematics

Perform the requested operation on the given function.f(x) = 3x2 - 6, g(x) = x + 1Find (f - g)(-4).

A. 47 B. 45 C. -38 D. 37

Mathematics