Solve the inequality and graph. Express your answer in interval notation.-4(-2 - x) < 6x + 19 - 11 - 2x

A. (-?, 8)

B. ?

C. (-?, 0)

D. (-?, ?)


Answer: B

Mathematics

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For the smooth curve r(t), find the parametric equations for the line that is tangent to r at the given parameter value r(t) = (5 tan t)i - (3 sin t)j + (4 cos2 t)k ; t0 = 

A. x = 5 + 10t, y = - + t, z = 2 + 4t
B. x = 5 + 10t, y = - - t, z = 2 - 4t
C. x = 5 + 10t, y = - - t, z = 4 - 4t
D. x = 10 + 5t, y = - - t, z= -4 + 2t

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The magnitude M of a star is related to the relative intensity I of light reaching Earth from the star. The relationship is . A: Star A has a relative intensity 8.77 times that of star B.  How do their magnitudes compare?B: Make a graph of M versus I.  Include relative intensities up to 100.C: If the magnitude of a star is 3, what is the relative intensity of light reaching Earth from the star? ? Round your answers to two decimal places if necessary. ?

What will be an ideal response?

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Solve the problem.A sweater costs $73.68. If the sales tax rate is 5.2%, how much tax is charged? Round your answer to the nearest cent.

A. $4.60 B. $3.83 C. $38.41 D. $4.33

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Decide whether the proportion is true or false. = 

A. True B. False

Mathematics