Solve the polynomial inequality. Express your solution on a number line using interval notation.(x + 5)(x + 3)(x - 4) > 0

A. (-?, -3)

B. (4, ?)

C. (-5, -3) ? (4, ?)

D. (-?, -5) ? (-3, 4)


Answer: C

Mathematics

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Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-fifth as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.

A.  = 
B.  = 
C.  = 
D.  = 

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Use a half-angle identity to find an exact value for the following, given the information about x. Find tan , given that cos x = -  and x terminates in 180° < x < 270°.

A. - 
B.
C. - 
D.

Mathematics

Select letters to represent the simple statements and write each statement symbolically by using parentheses then indicate whether the statement is a negation, conjunction, disjunction, conditional, or biconditional.If tomorrow is not Saturday then today is Friday if and only if tomorrow is Saturday.

A. ~p ? (q ? p); conditional B. (~p ? q) ? p; conditional C. (~p ? q) ? p; biconditional D. ~[(p ? q) ? p]; negation

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Find the point-slope form of the equation of the line satisfying the given conditions and use this to write the slope-intercept form of the equation.Passing through (0, 8) and (4, 4)

A. y = x - 8 B. y = -x - 8 C. y = x + 8 D. y = -x + 8

Mathematics