Answer
two x-intercepts.
Work Step by Step
For $f(x)=-2.64x^2+5.47x+3.54$, the x-intercepts are the solutions of $f(x)=0$ and the discriminant $D=(5.47)^2-4(-2.64)(3.54)$ will determine if one, two, or none real solutions the equation will have.
As $D\approx67.3\gt0$, there will be two x-intercepts.
