Provide an appropriate response.Explain why log213 is between 3 and 4.

What will be an ideal response?


log28 = 3 and log216 = 4. Since 8 < 13 < 16, then 3 < log213 < 4. This is true because log2x is an increasing function.

Mathematics

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Find the approximate equation of the line that has the given slope and contains the given point. Write the equation in slope-intercept form. Round the constant term to two decimal places if necessary.m = 2.1, (3.5, -8.3)

A. y = 2.1x - 0.95 B. y = 0.48x - 9.97 C. y = -2.1x - 15.65 D. y = 2.1x - 15.65

Mathematics

Use inequality notation to describe the set. s is at least –4 but less than 23

A) 23 £ s < –4 B) 23 < s £ –4 C) –4 £ s < 23 D) –4 £ s £ 23 E) –4 < s < 23

Mathematics

Find the first term a1 and the common difference d of the arithmetic sequence.848, 843, 838, 833, . . .

A. a1 = -5, d = 5 B. a1 = 848, d = 848 C. a1 = -5, d = -848 D. a1 = 848, d = -5

Mathematics

Find the quotient.

A. 1 B. 0 C. -76 D. undefined

Mathematics