Find the domain of the function f(x) = 2x 2 + 4x – 5.

a. All real numbers x such that x > 0
b.  All real numbers x
c. All real numbers x such that x < 0
d. Non-negative real numbers x


b.  All real numbers x

Mathematics

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Write the equation of the line passing through the given points. Write your answer in slope-intercept form.Passing through (-7, 4) and (-4, 8)

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

Mathematics

Use the definition of equality of complex numbers to find the real numbers x and y such that the equation is true.6 + yi = x + 

A. x = 6, y = -10 B. x = -6, y = -10 C. x = -6, y = 10 D. x = 6, y = 10

Mathematics

Evaluate the indefinite integral.

A. 3t3/2 + t5/2 + C
B. t3/2 + t5/2 + C
C. t3/2 + t2 + C
D. 2t3/2 +  t5/2 + C

Mathematics

Solve the problem.The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 64 cm long plays a B, what is the length of the string that plays a D?

A. 64 cm B. 91 cm C. 80 cm D. 108 cm

Mathematics