Questions in Grade High-school

Questions in Grade High-school

[Done] Simplify: [tex](x^3 - 3x^2 - 2x + 5) - (x^2 - 2x + 2)[/tex]

[Done] Simplify \((3 - \sqrt{7})(5 + \sqrt{7})\).

[Done] What is the measurement in degrees and radians for a counter-clockwise rotation of \(\frac{5}{3}\) revolutions?

[Done] Given [tex]f(x) = 3x - 2[/tex] and [tex]g(x) = -\frac{1}{3}x + \frac{2}{3}[/tex], determine if [tex]g(x)[/tex] and [tex]f(x)[/tex] are inverse functions.

[Done] What does a pendulum suggest to you, and what does an old man with a scythe represent? What connection might there be between these symbols and the scythe on the pendulum in this story?

[Done] Suppose your gasoline tank holds 18 gallons of fuel. Your tank is currently 20% full. How many gallons of fuel do you need to add to fill the tank?

[Done] Why is Obierika sometimes sorry he has the title of ozo?

[Done] If the function \( g \) is the inverse of the function \( f \), predict \( f(g(x)) \) and \( g(f(x)) \).

[Done] Why were the liberated countries so unstable?

[Done] The ratio of hydrogen atoms to oxygen atoms in water is 2:1. If an amount of water contains 341 trillion atoms of oxygen, how many hydrogen atoms are there?