NATURE OF ROOTS Without solving the equation, show that \( x^{2}+5 m x+6 m^{2}-1=0 \) has real, unequal roots for all values of \( m \).

The radioactive substance uranium-240 has a half-life of 14 hours. The amount \( A(t) \) of a sample of uranium-240 remaining (in grams) after \( t \) hours is given by the following exponential function. \( A(t)=2400\left(\frac{1}{2}\right)^{\frac{t}{14}} \) Find the initial amount in the sample and the amount remaining after 60 hours. Round your answers to the nearest gram as necessary. Initial amount:

Divide. \[ \frac{x-8}{4 x-36} \div \frac{9 x-72}{8 x-72} \] Simplify your answer as much as possible.

An alarm salesman sold Each alarm alarm system. system cost \$234. How much money did he make?

The use of Internet technologies in sourcing activities is called e-sourcing. Select one: True ofalse

5. A French toast recipe uses 2 eggs to make 14 slices of French toast. Brenda wants to make 98 slices of French toast to feed her family and friends. How many eggs will Brenda need to make 98 slices?