Prove the following statement directly from the definition of divisibility. Do not use any other facts previously proved in class or in the text or in the exercises.For all integers a, and b, if a divides b then a^3 divides b^3.
What will be an ideal response?
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Solve the problem. Round your answer to the nearest tenth unless indicated otherwise.A label on a box shows that the box weighs 140 kg. How many pounds is that?
A. 63.6 lb B. 355.6 lb C. 148.4 lb D. 308 lb
Provide an appropriate response.Find the circumference of the circle whose radius is 2.46 cm. Round answer to nearest hundredth.
A. 7.73 cm B. 15.46 cm C. 19.01 cm D. 4.92 cm
Decide whether or not the functions are inverses of each other.f(x) = 
, g(x) = 
A. Yes; Exclude the value {-4} B. No C. Yes
Solve the problem.The lengths of the sides of a triangle are given by x, x + 4, and x + 8. Find the length of each side if the perimeter is 36 cm.
A. 8 cm, 12 cm, 16 cm B. 9 cm, 13 cm, 17 cm C. 24 cm, 28 cm, 32 cm D. 8 cm, 8 cm, 20 cm