91Ó°ÊÓ

Simplify. If possible, use a second method, evaluation, or a graphing calculator as a check. $$ \frac{a(a+3)^{-1}-2(a-1)^{-1}}{a(a+3)^{-1}-(a-1)^{-1}} $$

Find the LCM. $$8,9$$

Simplify. If possible, use a second method, evaluation, or a graphing calculator as a check. $$ \frac{\frac{2}{a^{2}-1}+\frac{1}{a+1}}{\frac{3}{a^{2}-1}+\frac{2}{a-1}} $$

Find the LCM. $$10 t^{3}, 5 t^{4}$$

Divide and, if possible, simplify. $$\frac{5}{x} \div \frac{x}{12}$$

Find the variation constant and an equation of variation in which \(y\) varies inversely as \(x,\) and the following conditions exist. \(y=16\) when \(x=4\)

Find the LCM. $$10 x^{2} y, 6 y^{2} z, 5 x z^{3}$$

Hooke's law states that the distance \(d\) that a spring is stretched by a hanging object varies directly as the mass \(m\) of the object. If the distance is \(20 \mathrm{cm}\) when the mass is \(3 \mathrm{kg},\) what is the distance when the mass is \(5 \mathrm{kg} ?\) PICTURE NOT AVAILABLE

Weight on the Moon. The ratio of the weight of an object on the moon to the weight of that object on Earth is 0.16 to 1 a) How much would a 12 -T rocket weigh on the moon? b) How much would a 180 -lb astronaut weigh on the moon?

Find the LCM. $$6 x^{3}-24 x^{2}+18 x, 4 x^{5}-24 x^{4}+20 x^{3}$$