Hence, or otherwise, determine the inverse of the matrix \( \left[\begin{array}{rr}2 & -5 \\ -2 & 7\end{array}\right] \), and solve the equation \( x\left[\begin{array}{c}2 \\ -2\end{array}\right]+y\left[\begin{array}{r}-5 \\ 7\end{array}\right]=\left[\begin{array}{c}2 \\ -10\end{array}\right] \)

Building \( A \) is 150 feet shorter than Building B. The total height of the two buildings is 1490 feet. Find the height of each building. What is the height of Building \( A \) ? \( \square \mathrm{ft} \) (Simplify your answer. Type an integer or a decimal.) What is the height of Building B? \( \square \mathrm{ft} \) (Simplify your answer. Type an integer or a decimal.)

Find all x -intercepts of the following function. Write your answer or answers as coordinate points. Be sure to select the appropriate number of \( x \)-intercepts. \[ f(x)=\frac{3 x^{2}-x}{x^{2}-3 x-54} \]

If \( 10^{\log x}=10^{18} \), what is the value of \( x ? \) (1 point) 18 \( 10^{18} \) -18 \( 10^{-18} \)

\( 1 \leftarrow \quad \begin{array}{l}\text { A company finds it can produce } 25 \text { heaters for } \$ 6550 \text {, while producing } 30 \text { heaters costs } \$ 7800 \text {. Express the cost, } \\ \text { as a linear function of the number of heaters, } x \text {. Determine the cost to produce } 40 \text { heaters. } \\ \text { Express the cost, } y \text {, as a linear function of the number of heaters, } x \text {. } \\ y=\square \\ \text { (Simplify your answer.) } \\ \text { The cost to produce } 40 \text { heaters is } \$ \square\end{array} \).

1) \( y=3 x^{2}-2 x-1 \)