Provide an appropriate response.Tom's teacher asks him to solve the following problem: "The product of two consecutive even numbers is 168. Find the numbers." Tom rewords the problem and translates to the following equation:
Why is this equation not correct and what would the correct equation be?
What will be an ideal response?
Consecutive even numbers differ by 2. If the smallest number is named x, then the other number is x + 2 not x + 1 and the equation is x(x + 2) = 168.
Mathematics
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Rewrite the given integral so that it fits the form 
, and identify u, du, and n.
A. 
; u = e4x + 1, du = 4e4x dx, n = -1/2
B. 
; u = e4x, du = 4e4x dx, n = -1/2
C. 
; u = 
, du = e4x dx, n = -1
D. 
; u = e4x + 1, du = e4x dx, n = -1/2
Mathematics
Multiply.(r - w)2
A. r2 - 2rw - w2 B. r2 - 2rw + w2 C. r2 - rw + w2 D. r2 + 2rw + w2
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Simplify.-4(-5 + x)
A. 20 - 4x B. 20 + 4x C. -20 - 4x D. -20 + 4x
Mathematics
Express the radical in simplified form. Assume that all variables represent positive real numbers.- 
A. -3xy
B. 3xy
C. xy
D. -3xy
Mathematics