Use the graph of the function f shown to the right to answer parts (a)-( n\( ) \). Negative (d) Is \( \mathrm{f}(-7 \) ) positive or negative? Positive (e) For what value(s) of x is \( \mathrm{f}(\mathrm{x})=0 \) ? \( \mathrm{x}=\square \) (ase a comma to separate answers as needed.)

6. Calculá mentalmente qué número debe colocarse en cada caso para completar los siguientes cálculos. \( \begin{array}{llll}\text { a. } \frac{1}{3}+5=2 & \text { c. } \frac{3}{5}+\ldots=2 & \text { e. } \frac{5}{2}-\ldots .=1 & \text { g. } \frac{7}{5}-\frac{1}{2}=1 \\ \text { b. } \frac{1}{2}+\ldots=3 & \text { d. } \frac{7}{5}+\ldots \ldots . .=2 & \text { f. } \frac{7}{3}-\ldots \ldots=2 & \text { h. } \frac{11}{3}-\quad=2\end{array} \)

Use properties of logarithms to expand the \[ \log \left[\frac{10 x^{5} \sqrt[3]{8-x}}{3(x+1)^{2}}\right] \] \( \log \left[\frac{10 x^{5} \sqrt[3]{8-x}}{3(x+1)^{2}}\right]=\square \)

Decide whether or not the equation has a circle as its graph. If it does and the radius. If it does not, describe the graph. \( x^{2}+y^{2}-6 x+2 y=-6 \) Select the correct choice below and, if necessary, fill in the answer b A. The graph of the equation is a circle with center B. The radius of the circle is B. The graph of the equation is a line. C. The graph of the equation is a point. D. The graph is nonexistent.

Represent \( (2748)_{10} \) as floating point number in the computer with 16 -bit. What is the sign bit? Select True if the sign bit is 1 Select False is the sign bit is 0 True False

What constitutional principle is at work? limited government federalism popular sovereignty separation of powers