um could anyone plz help me with this queston thats on an exam tommorow....and i need at least a B+....
y= 4√(x+4) -2
y= ⅔x +7
simultaneous equation....i need to sketch a graph, label intercepts and state their value
thx in advance....
have you tried to graph that on a calculator or something.
The second one is a straight line
the intercepts for the second equation is y is 7 and x is 10. I just graphed this into my calculator so it is right and the other equation is crazy I am still trying to work it out.
1) Sketch a graph : just plug in and get the corresponding values. Then ... plot. Note that for the second one only two points are required since it is the equation of a line.
2) Label intercepts : that shouldn't be too hard, for the x-intercepts just set and solve for in both cases, for the y-intercepts just set and solve for in both cases. You therefore get their values which you can then sketch.
As you mentioned "simultaneous equations" I assume you need to solve the system at some point (know where the two curves intersect). You can apply the following method :
Just set and solve for :
Calculate the discriminant :
It is negative therefore this equation has no real solution for , thus the two curves (the curve and the line) never meet (never intersect).
Does it make sense ?