Algebra Answers

Solve the system of equations:

y= x² - 6x +3

y= -2x -6

Kellie and Maverick are solving the same system of of equations by graphing

y-3x=9

y= 2x²-4x + 12

Kellie believes there is one solution at (3,18). Maverick believes there are two solutions at (3,18) and (0.5, 10.5). Who is correct?

The equation -12x² + 4800 = 0 represents the path of a softball being pitched. The solutions represent the amount of time the softball is in the air. Solve the equation using square roots and determine which solution is correct in this real world solution.

Jose solved a quadratic inequality and got the following answer: x<5 or x>7

Which number line represent the correct shading for Jose's solution?

Solve using square roots (x+3)² = 36

Solve using square roots

3x² = -75

Simplify (4-2i)(5+i)

James was participating in a shot put competition, and threw the shot in the air. The graph below represents the height of the shot after traveling a distance of x feet.

What does the y-intercept represent?

A. the number of feet it took for the shot to reach the ground

B. the initial velocity of the shot when it was thrown

C. the initial height from which the shot was thrown

D. the maximum height of the shot.

5^2(x-1)+5^x+1=0.04

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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?