Answer:
third answer
Step-by-step explanation:
The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.
- factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
- set the factored polynomial equal to 0 => -2x(x^2+x-6)
- divide both sides by -2x => 0 = x^2+x-6
- factor => (x+3)(x-2) = 0
- find zeros by setting both factors equal to 0 => x=-3, x=2
This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.
The answer for the following question is 12i.
Answer:
Raspuns corect: b)
Step-by-step explanation:
a4b=24, a×4×b=24⇒a×b=6
perechile de numere cu produsul 6 sunt: {1,6} si {2,3}
a4b in baza 10=100a+40+b
100×1+40+6=146
100×6+40+1=641
100 ×2+40+3=243
100×3+40+2=342
146+641+243+342=1372
Raspuns corect: b)
Answer:
Step-by-step explanation:
a). Given a parametric equation, we are describing a set of coordinates based on the value of t. The variable t is called the parameter.
b) we have the following equations. x=t y=t^2, so in order for us to know where the object is at t=t' we must replace t with the specific value t'. Hence, when t=0 the object is at (0,0^2) = (0,0) (the origin). When t=6, the object is at (6,6^2) = (6,36).
c). To eliminate the parameter, we replace the parameter in one equation by using the second equation. Recall that we have that x=t. Then, by replacing in the second equation, we have the following

where 