Use the definition to find an expression for the instantaneous acceleration of an object moving with rectilinear motion according to the given function. The instantaneous acceleration is defined as the instantaneous rate of change of the velocity with respect to time. v = 2t4 - 4t3 + 8[v is the velocity]

A. 2t3 - 4t2 + 8
B. 8t3 - 12t2 + 8
C. 8t3 - 12t2 
D. 2t3 - 4t2 


Answer: C

Mathematics

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Find each product.(8y + x)(8y - x)

A. 64y2 + 16xy - x2 B. 64y2 - x2 C. 16y2 - x2 D. 64y2 - 16xy - x2

Mathematics

Provide an appropriate response.Which equation does not require the use of the multiplication property of equality to solve the equation?

A. 6x + 8 - (-5x - 5) = -8
B. -6x + 5x = -8
C. -5x - (-6)x = -8
D. - x = -8 - 5

Mathematics

Use the properties of parallel lines to solve the problem.In the figure,   . m(?BAE) = 36°. Given this information, find the measures of as many other angles as possible.

A. m(?CDE) = 36°, m(?ABD) = 144° B. m(?CDE) = m(?ABE) = m(?DCE )= 36° C. m(?CDE) = 36°, m(?ABE) = m(?DCE) = 54° D. m(?CDE) = 36°

Mathematics

Write an equation, in slope-intercept form if possible, of the line through the pair of points.(1, -3) and (-7, 6)

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

Mathematics