Solve by the elimination method. Also determine whether the system is consistent or inconsistent and whether the equations are dependent or independent. \( \begin{array}{l}3 x-12 y=6 \\ 2 x-8 y=4\end{array} \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is only one solution. The solution of the system is (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions of the form (x. (Simplify your answer.) C. There is no solution.

Let \( f(x)=\sqrt{42-x} \) and \( g(x)=x^{2}-x \) Then the domain of \( f \circ g \) is equal to Question Help: Video

For the quadratic function \( \mathrm{f}(\mathrm{x})=-\mathrm{x}^{2}+6 \mathrm{x} \), answer parts (a) through (c) A. The y -intercept is 0 . (Type an integer or a decimal.) Bse the graphing tool to graph the function. (b) Determine the domain and the range of the function. The domain of \( f \) is \( (-\infty, \infty) \). (Type your answer in interval notation.) The range of \( f \) is ( \( -\infty, 9] \) (Type your answer in interval notation.) (c) Determine where the function is increasing and where it is decreasing The function is increasing on the interval \( \square \). (Type your answer in interval notation.)

uestion iven that \( f(x)=x^{2}+7 x+10 \) and \( g(x)=x+5 \), find \( (f+g)(x) \) and express the result a olynomial in simplest form.

(40) The Crane family is setting up for their fundraiser for their children's school. There will be 45 adults and 109 children coming in the evening. Each table holds 9 people. How many tables will they need for all guests?

Solve the equation and check the solution. \( \frac{6}{5} x-30=0 \) \( x=\square \) (Type an integer or a fraction.)