Let
x---------> my favorite number
we know that
(x+9)/15=3/5------> 5*(x+9)=15*3-----> divide by 5 both sides----> (x+9)=3*3
x+9=9------> x=0
therefore
the answer is
My favorite number is 0
Answer:
one , i guess....
because the conjecture is only true if it satisfies all the cases.
Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
I took the test and the answer was
-5
