Prove that set  A={x∈R:x11+7x5+5–√x3+8x−2(cosx)< ;0}A={x∈R:x11+7x5+5x3+8x−2(cosx)< ;0}    is non-empty and bounded above. Thus, by the completeness axiom, the supremum  supAsupA   exists as a real number.

According to the number line, what is the distance between points a and b? v ++ + + + + -16 -14 -12 -10 -8 + 6 + 4 + -2 + 0 + 2 + 4 + 6 + 8 + 10 + 12 + 14 + 16 o6 units o 7 units 12 units o 14 units

Mr. and mrs. wallace have decided to buy a car for $21,600. they finance $15,000 of it with a 5-year auto loan at 2.9% arp. what will be their monthly payment be? a. $268.20 b. $268.86 c. $269.54 d. $387.16 i need !

Evaluate the expression for the given value of the variable. ∣-4b-8∣+∣-1-b^2 ∣+2b^3 ; b=-2