Algebra Answers

A cyclist Leaves town A for town B at 11:30 am and travels at an average speed of 15km/hr.30 minutes later a bus leaves town A from town B arriving at 12:30pm. Town A is 30km to town B.Determine the average speed of the bus? Determine the distance from town A where the cyclist met the bus? The time they met? Find the time the cyclist arrived in town B

Fourteen books were packed in a box. The
mass of the packed box could reasonably be which of the following
masses? C
A 15 milligrams B 15 grams C 15 kilograms D 15 metric tons

Sonja has 3 hours to finish a slide presentation. It takes her 1/5 hour to create each slide. Will Sonja have enough time to create 8 slides?

A circle representing a pool is graphed with a center at the origin. Grant enters the pool at point A and swims over to a friend who is located at point B.

Which equation represents Grant’s path?
y = 2 – 4x
y = 4 –
y = 6 –
y = 8 – 2x

Yesterday, there were 90 problems assigned for math homework. Bob did 70% of them correctly. How many problems did Bob get right?

Express sin^5x
as a linear combination of sin kx and coskx, k belongs to integers.

Prove that if a complex number z is an nth root of a real number a , then so
is z bar.

Prove that
((x+y+z)/3)^x+y+z ≤ x^x + y^y + z^z ≤ ((x^2 + y^2 + z^2)/(x+y+z) ,
where x, y, z belongs to natural numbers.

Find the value of a for which the polynomial x^3- a x^2- ax +1 has −1 as a root with multiplicity at least 2.