1.Express the following statement as a formula with the value of the constant of proportionality determined?

Question

with the given conditions: w varies directly as x and inversely as the square of y. If x = 15 and y = 5, then w = 36.
a. w= 3 x/y^2
b. w= 12 x/y^2
c. w= 36 x/y^2
d. w= 60 x/y^2

2.The period of a simple pendulum is directly proportional to the square root of its length. If a pendulum has a length of 6 feet and a period of 2 seconds, to what length should it be shortened to achieve a 1 second period?
a. 1 foot
b. 1.5 feet
c. 2 feet
d. 3 feet

3.Find the horizontal asymptote of the rational function:
f(x)= 8x-12 divided by 4x-2
a. y = 1/2
b. y = 3/2
c. y = 2
d. y = 4

4.Find the quotient and remainder of f(x) = x^4 - 2 divided by p(x) = x - 1.
a) x^3 + x^2 + 1; -1
b) x^3 + x^2 + x + 1; -1
c) x^3 + x + 1; -1
d) x^3 - x^2 - x - 1; -1

5. Find the polynomial f(x) of degree three that has zeroes at 1, 2, and 4 such that f(0) = -16.
a. f(x)=x^3-7x^2+14x-16
b. f(x)=2x^3-14x^2+28x-16
c. f(x)=2x^3-14x^2+14x-16
d. f(x)=2x^3+7x^2+14x+16

Answer 1

Maybe you should reask this as five separate homework questions.