Provide an appropriate response.It can be shown that the inequalities 1 -  <  < 1 hold for all values of x close to zero. What, if anything, does this tell you about  Explain.

What will be an ideal response?


Answers may vary. One possibility: 1 -  = 1 = 1. According to the squeeze theorem, the function  , which is squeezed between  and 1, must also approach 1 as x approaches 0. Thus, 

Mathematics

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Use the Midpoint Formula to estimate the sales of Big Lots, Inc. in 2005, given the sales in 2003 and 2007. Assume that the sales followed a linear pattern.Big Lots YearSales (in millions)2003417420074700

A. $4700 million B. $4457 million C. $4174 million D. $4437 million E. $4447 million

Mathematics

Evaluate. Assume u > 0 when ln u appears. 

A. (x4 - 2x3)6 + C
B. (x4 - 2x3)7 + C
C. (x4 - 2x3)7 + C
D. 4x3- 6x2 + C

Mathematics

Find the solution to the system of equations by substitution.y = 3x + 5y = 7x + 6

A.
B.
C. infinite number of solutions
D. no solution

Mathematics

Solve the problem.A survey of the 5953 vehicles on the campus of State University yielded the following circle graph. Find the number of hatchbacks. Round your result to the nearest whole number.

A. 3929 B. 2024 C. 34 D. 2322

Mathematics