91Ó°ÊÓ

Classify each of the following statements as either true or false. Sometimes we can solve a problem without solving an equation or an inequality.

Classify each of the following statements as either true or false. The function given by \(g(x)=-x^{2}+3 x+1\) has a minimum value.

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?

Solve. (Find all complex-number solutions.) \(t^{2}+3=6 t\)

Solve. $$t^{4}-11 t^{2}+18=0$$

Solve each formula for the indicated letter. Assume that all variables represent positive numbers. \(A=A_{0}(1-r)^{2},\) for \(r\) (A business formula)

What is the maximum product of two numbers that add to -10? What numbers yield this product?

Solve. (Find all complex-number solutions.) \(12 t^{2}+17 t=40\)

For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph the function. $$f(x)=-x^{2}-2 x+7$$

The NBA's LeBron James has a vertical leap of 44 in. What is his hang time? (Use \(V=48 T^{2}\) ).