Algebra Answers

There were 75 runners to start a race. In the first half of the race,
2/5 of them dropped out. In the second half of the race, 4/5
of the remaining runners dropped out. How many runners finished the race?

12 x 42

f(0)

If p varies jointly as r and t and inversely as q, then find an equation for p if p=−1 when r=−6, t=−4, and q=3.

What does it mean by "find an equation for p if p......." how are you supposed to find p

The function f (x) = sin x is monotone in the interval ,0[ π]. True or false?

In an exponential decay process given by M = M0 e-kt
the original amount M0
has been reduced by a factor 16 in 321 days.
How many days did it take to be reduced by a factor of2? What is the value of k ?

A leading brokerage firm charges a 6% commission on gold purchases in amounts from` 500 to ` 3000. For purchases exceeding ` 3000, the firm charges 2% of the amount purchased plus ` 120. Let x denote the amount of gold purchased (in rupees) and let f (x) be the commission charges as a function of x .
i) Describe f (x) . What is the domain of f ?
ii) Find f (1000) and f (5000).

Nolan plots a point at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?

You need to replace 3/4 mile of fence. You do not need to add the first corner pole. If you put a pole in every 1/12 of a mile, how many poles do you need? Please show your work.

(a^2+b^2)\(ab+1) find an equation for solving