91Ó°ÊÓ

Solve each formula for the indicated letter. Assume that all variables represent positive numbers. \(A=6 s^{2},\) for \(s\) (Surface area of a cube)

In each of Exercises, two words appear. Choose the correct word to complete the statement. When \(b^{2}-4 a c\) is negative, the solutions are_______ (Rational / Imaginary) numbers.

Classify each of the following statements as either true or false. To fit a quadratic function \(f(x)=a x^{2}+b x+c\) to data, we use a system of three equations in which the variables are \(a, b,\) and \(c .\)

Write the substitution that could be used to make each equation auadratis in \(u\). For \(x^{1 / 2}-x^{1 / 4}-2=0,\) use \(u=\)_____

It is possible for a quadratic equation to have no real-number solutions.

Write the substitution that could be used to make each equation auadratis in \(u\). For \(\left(x^{2}+3\right)^{2}+\left(x^{2}+3\right)-7=0,\) use \(u=\)_____

Solve. (Find all complex-number solutions.) \(2 x^{2}+3 x-5=0\)

Solve each formula for the indicated letter. Assume that all variables represent positive numbers. \(A=2 \pi r^{2}+2 \pi r h,\) for \(r\) (Surface area of a right cylindrical solid)

Solve. Newborn Calves. The number of pounds of milk per day recommended for a calf that is \(x\) weeks old can be approximated by \(p(x),\) where $$p(x)=-0.2 x^{2}+1.3 x+6.2$$. When is a calf's milk consumption greatest and how much milk does it consume at that time?

Find all complex-number solutions. $$ x^{2}=100 $$