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Magazine Problem 22
Use either method to simplify each complex fraction. \(\frac{\frac{4}{t}-\frac{4}{s}}{\frac{4}{t}+\frac{4}{s}}\)
Problem 22
Write each formula using the "language" of variation. For example, the formula for the circumference of a circle, \(C=2 \pi r,\) can be written as "The circumference of a circle varies directly as the length of its radius." \(V=\frac{4}{3} \pi r^{3},\) where \(V\) is the volume of a sphere with radius \(r\)
Problem 22
Add or subtract as indicated. $$\frac{y^{2}}{y+6}-\frac{36}{y+6}$$
Problem 23
Solve each equation. $$\frac{x-4}{x+6}=\frac{2 x+3}{2 x-1}$$
Problem 23
Use either method to simplify each complex fraction. \(\frac{\frac{8 x-24 y}{10}}{\frac{x-3 y}{5 x}}\)
Problem 23
Write each formula using the "language" of variation. For example, the formula for the circumference of a circle, \(C=2 \pi r,\) can be written as "The circumference of a circle varies directly as the length of its radius." \(\mathscr{A}=\frac{1}{2} b h,\) where \(\mathscr{A}\) is the area of a triangle with base \(b\) and height \(h\)
Problem 23
Add or subtract as indicated. $$\frac{4}{p^{2}+7 p+12}+\frac{p}{p^{2}+7 p+12}$$
Problem 23
Which rational expression is not equivalent to \(\frac{x-3}{4-x} ?\) A. \(\frac{3-x}{x-4}\) B. \(\frac{x+3}{4+x}\) C. \(-\frac{3-x}{4-x}\) D. \(-\frac{x-3}{x-4}\)
Problem 24
Write each formula using the "language" of variation. For example, the formula for the circumference of a circle, \(C=2 \pi r,\) can be written as "The circumference of a circle varies directly as the length of its radius." \(V=\frac{1}{3} \pi r^{2} h,\) where \(V\) is the volume of a cone with radius \(r\) and height \(h\)
Problem 24
Add or subtract as indicated. $$\frac{5}{x^{2}+x-20}+\frac{x}{x^{2}+x-20}$$
