91Ó°ÊÓ

Find the equation of the line in the \(x y\) -plane with slope 2 that contains the point (7,3) .

The numbers are too large to be handled by a calculator. These exercises require an understanding of the concepts. Write \(2^{5} \cdot 8^{1000}\) as a power of 2 .

In Exercises 9-26, write the indicated expression as a ratio of polynomials, assuming that $$ r(x)=\frac{3 x+4}{x^{2}+1}, \quad s(x)=\frac{x^{2}+2}{2 x-1}, \quad t(x)=\frac{5}{4 x^{3}+3} $$ $$ (s-t)(x) $$

Suppose \(p(x)=x^{2}+5 x+2\) \(q(x)=2 x^{3}-3 x+1, \quad s(x)=4 x^{3}-2\) Write the indicated expression as a polynomial. $$ (p \circ q)(x) $$

Suppose \(p(x)=x^{2}+5 x+2\) \(q(x)=2 x^{3}-3 x+1, \quad s(x)=4 x^{3}-2\) Write the indicated expression as a polynomial. $$ (q \circ p)(x) $$

In Exercises 9-26, write the indicated expression as a ratio of polynomials, assuming that $$ r(x)=\frac{3 x+4}{x^{2}+1}, \quad s(x)=\frac{x^{2}+2}{2 x-1}, \quad t(x)=\frac{5}{4 x^{3}+3} $$ $$ (s+t)(x) $$

Find the equation of the line in the \(x y\) -plane with slope -4 that contains the point \((-5,-2) .\)

The numbers are too large to be handled by a calculator. These exercises require an understanding of the concepts. Write \(5^{3} \cdot 25^{2000}\) as a power of \(5 .\)

In Exercises 9-26, write the indicated expression as a ratio of polynomials, assuming that $$ r(x)=\frac{3 x+4}{x^{2}+1}, \quad s(x)=\frac{x^{2}+2}{2 x-1}, \quad t(x)=\frac{5}{4 x^{3}+3} $$ $$ (3 r-2 s)(x) $$

Find the equation of the line that contains the points (2,-1) and (4,9)