Differentiate.f(x) = (x2 + x)(3x2 + 4x - 1) at x = 1Enter just an integer.

Fill in the blank(s) with the appropriate word(s).


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Mathematics

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The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.Two earthquakes differ by 0.1 when measured on the Richter scale. How would the seismographic readings differ at a distance of 100 kilometers from the epicenter?

A. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
B. The earthquake of greater magnitude has a seismographic reading that is  times that of the lesser earthquake.
C. The earthquake of greater magnitude has a seismographic reading that is 100 times that of the lesser earthquake.
D. The earthquake of greater magnitude has a seismographic reading that is 10 times that of the lesser earthquake.

Mathematics

Solve the quadratic inequality by graphing an appropriate quadratic function.x2 + 7x ? -12

A. (-?, -4] ? [-3, ?) B. [-3, ?) C. [-4, -3] D. (-?, -4]

Mathematics

Write the binomial expansion of the expression.(3x + 1)5

A. 243x5 + 15x4 + 90x3 + 90x2 + 15x + 1 B. 243x5 + 81x4 + 27x3 + 9x2 + 3x + 1 C. 243x5 + 405x4 + 270x3 + 90x2 + 15x + 1 D. (9x2 + 6x + 1)5

Mathematics

Perform the indicated operation(s), whenever possible.Let A =  and B = . Find A + B.

A.

B.

C.

D.

Mathematics