Answer:
the function has two distinct real roots.
Step-by-step explanation:
D=b²-4ac
D<0 No real roots
D=0 One real root
D>0 Two distinct real root.
(-5)²-4*1*-3
25+12
37
Since D is > than 0, the function has two distinct real roots.
Answer:
4x² -29x +51
Step-by-step explanation:
Put x-3 where x is in the original function definition, then "simplify". I think you'll find it convenient to rewrite the original function definition first.
... g(x) = 4x² -5x = x(4x -5)
Substituting, we have
... g(x-3) = (x -3)(4(x -3) -5)
... = (x -3)(4x -17) . . . . . simplify right factor
... = 4x² -12x -17x +51
... g(x -3) = 4x² -29x +51
As fraction it would be 6/30 reduced 1/5 and as percentage 20% so 20% of the students were off.<span />
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!