The arithmetic mean of any two nonnegative real numbers a and b is greater than or equal to their geometric mean vab. [hint: consider (va - vb) 0.]

Answer with explanation:

Here, a and b are two real numbers.

Arithmetic Mean of a and b

Geometric Mean of a and b

Square of difference of any two numbers is greater than or equal to 0.

⇒A.M of two Numbers > G.M of two Numbers

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.