Use the equation $y=1+\sqrt{x}$ to answer the following questions.

Does $y$ have a minimum value? A maximum value? If so, find them.

Collect like terms.

$$12x + 2x$$

Factor.

$$8 a ^ { 3 } - 125 b ^ { 9 }$$

A polar curve is defined by the equation r = θ + sin 2θ for 0 ≤ θ ≤π. At what angle θ in the interval 0 ≤ θ ≤ π/2 is the curve farthest away from the origin? Justify your answer.

Evaluate the given expression.

$$\dbinom{5}{0}-\dbinom{5}{1}+\dbinom{5}{2}-\dbinom{5}{3}+\dbinom{5}{4}-\dbinom{5}{5}$$

Find -x for the value of x.

$$x=-\sqrt{2}$$

In your own words, explain the difference between a sequence and a series. Provide examples of each.

The geometric mean between 9 and 15 is what? A $9 \sqrt{15}$ B 12 c $3 \sqrt{15}$ D 135

Explain in your own words why $|X| = p$ has two solutions when pis positive and no solution when pis negative.

What is the speaker asking of this person, and why? Explain, citing details from the poem.

Form a group of three. For each of the following situations, one of you will role-play the situation and the other two will make suggestions on how the person can relieve stress in his or her life. Take turns acting out these situations, and then each of you create your own.

Pasas todas las tardes y los fines de semana en las actividades del colegio. Nunca tienes tiempo para salir con tus amigos.

Determine whether each function has a maximum or minimum value, and find that value. Then state the domain and range of the function.

$$f(x)=-x^2-12$$

The graph of which inequality has its vertex at $(2 \frac{1}{2},-5)?$ F. y < |2x - 5| + 5 G. y < |2x + 5| - 5 H. y > |2x + 5| - 5 J. y > |2x - 5| - 5

Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the direction in which the curve is traced as $t$ increases.

$$x=e^{-t}+t, \quad y=e^t-t, \quad-2 \leqslant t \leqslant 2$$