Algebra Answers

A tracking station observe that an aeroplane at two successive time to be (-500,0,1000) relative to axes X in an easterly direction Y in a northerly direction and Z vertically upwards with distance in metres .

(1) Find the equation of the path of the aeroplane,control advice the aeroplane to change course from it present position to the level flight at the current height and turn easerly through an angle of 90°?

(2) What is the equation of the new path?

A hiker walks a certain distance. If he had gone 1 km/h faster, he would have walked the distance in 4/5 of the time. If he had walked 1 km/h slower, he would have taken 2.5 hours longer to travel the distance. Find the distance.

Two friends decide to expand how many video games they own. Anna currently owns ten games and every month she will buy another four games to add to her collection. Joan currently owns three games and every month she is going to double her current number of games. After how many months will Joan have a larger collection than Anna

Factor the following equation a) f(x) = (x ^ 2 - 36)/(x ^ 2 + 3x + 2) f(x) = 2x ^ 3 + 3x ^ 2 - 3x - 2

Expand and simplify each function. Evaluate at f(-2). a. f(x) = (x + 1)(x - 2) (x + 3) b. f(x) = (2x ^ 2 - 3)(x ^ 3 + 1)

Anna earns money for each jacket she embroiders. She earned $222.75 last week. If Anna is paid $2.75 for each embroidered piece, how many jackets did she embroider last week? 

Each month, a shopkeeper spends 5x + 11 dollars on rent and electricity. For which value(s) of x is the amount the shopkeeper spends on electricity less than $100? Explain how you found the value(s)

Write a rule for function, P, that gives the perimeter of a square in inches when the side length is x inches

A ball is shot out of a cannon with its flight modeled by f(x)=-16t²+80t. t=seconds. what is the maximum height?

Annual sales for a company are $149,999 and are increasing at a rate of 6% per year. Use an exponentialfunction to find the annual sales after 7 years.