Algebra Answers

Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to x plus quantity 4 over x


is it neither help me understand

Determine algebraically whether the function is even, odd, or neither even nor odd.
f as a function of x is equal to x plus quantity 4 over x


Help me please

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = x2 + 3

Is it Shift the graph of y = x2 up 3 units. help me please

Describe how the graph of y= x2 can be transformed to the graph of the given equation.

y = (x - 2)2 - 10

is it Shift the graph of y = x2 down 2 units and then left 10 units.

Find the inverse of the function.

f(x) = 7x - 1

Please find out the f(x) = mx + b, given the slope and y-intercept of the linear function
x-intercept -8, y-intercept -1

A ball is thrown downward from a window in a tall building. Its position at time t in seconds is s= 16t^2 +32t, where s is in feet. How long (to the nearest tenth) will it take the ball to fall 70 feet?

) If the sum of the roots of a cubic equation is 3, the sumof the squares of the roots is 11 and the
sum of the cubes of the roots is 27, find the equation. Also, solve the equation and find all its
roots. (4)
b) Solve the equation 0 1 x2 x2 x
2 3
= − − + using Cardano’s method. (4)
c) Write the systems obtained in 6(a) and 6(b) in matrix form. (2)

Let m, n, x, y, z be positive real numbers, with x + y + z = 1. Prove that
4 4 4
2
x y z 1
(mx ny) (my nx) (my nz) (mz ny) (mz nx) (mx nz) 3(m n)
+ + ≥
+ + + + + + +
[Hint: Apply the AM ≥ GM inequality to each term in the LHS, and then apply the CS
inequality.]

Let m, n, x, y, z be positive real numbers, with x + y + z = 1. Prove that
4 4 4
2
x y z 1
(mx ny) (my nx) (my nz) (mz ny) (mz nx) (mx nz) 3(m n)
+ + ≥
+ + + + + + +
[Hint: Apply the AM ≥ GM inequality to each term in the LHS, and then apply the CS
inequality.]