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Magazine Problem 6
Use a graphing calculator or computer to decide which viewing rectangle (a)-(d) produces the most appropriate graph of the equation. $$y=x^{2}+7 x+6$$ (a) \([-5,5]\) by \([-5,5]\) (b) \([0,10]\) by \([-20,100]\) (c) \([-15,8]\) by \([-20,100]\) (d) \([-10,3]\) by \([-100,20]\)
Problem 6
Find the missing power in the following calculation: \(5^{1 / 3} \cdot 5=5\)
Problem 6
The formula \(d=r t\) models the distance \(d\) traveled by an object moving at the constant rate \(r\) in time \(t .\) Find formulas for the following quantities. $$r= \text {____} \qquad t = \text {____} .$$
Problem 6
Find the domain of the expression. $$-x^{4}+x^{3}+9 x$$
Problem 6
Write an equation that expresses the statement. \(P\) is directly proportional to \(w\)
Problem 6
Let \(S=\left\\{-2,-1,0, \frac{1}{2}, 1, \sqrt{2}, 2,4\right\\} .\) Determine which elements of \(S\) satisfy the inequality. $$2 x-1 \geq x$$
Problem 7
Determine whether the given value is a solution of the equation. \(4 x+7=9 x-3\) (a) \(x=-2\) (b) \(x=2\)
Problem 7
Use a graphing calculator or computer to decide which viewing rectangle (a)-(d) produces the most appropriate graph of the equation. $$y=100-x^{2}$$ (a) \([-4,4]\) by \([-4,4]\) (b) \([-10,10]\) by \([-10,10]\) (c) \([-15,15]\) by \([-30,110]\) (d) \([-4,4]\) by \([-30,110]\)
Problem 7
Complete the following table by stating whether the polynomial is a monomial, binomial, or trinomial; then list its terms and state its degree. $$x^{2}-3 x+7$$
Problem 7
Let \(S=\left\\{-2,-1,0, \frac{1}{2}, 1, \sqrt{2}, 2,4\right\\} .\) Determine which elements of \(S\) satisfy the inequality. $$1<2 x-4 \leq 7$$
