David wants to solve for x in the equation 4(x+3)=20. He said, "i can rewrite this equation by distributing the 4 on the left side." After distributing, what should his new equation be? Solve this equation using David's method.

To be prepared to solve unfamiliar equations, it helps to examine all of the solving tools you currently have. Consider the equation: 4(x+3)=20, Your Task: With your team, solve 4(x+3)=20 for x in at least two different ways. Explain how you solved for x in each case and be prepared to share your explanations with the class.

Evaluate the following method calls:

(a) Math.sqrt(4)
(b) Math.sin(2 * Math.PI)
(c) Math.cos(2 * Math.PI)
(d) Math.pow(2, 2)
(e) Math.log(Math.E)
(f) Math.exp(1)
(g) Math.max(2, Math.min(3, 4))
(h) Math.rint(−2.5)
(i) Math.ceil(−2.5)
(j) Math.floor(−2.5)
(k) Math.round(−2.5f)
(l) Math.round(−2.5)
(m) Math.rint(2.5)
(n) Math.ceil(2.5)
(o) Math.floor(2.5)
(p) Math.round(2.5f)
(q) Math.round(2.5)
(r) Math.round(Math.abs(−2.5))

Identify the class width, class midpoints, and class boundaries for the given frequency distribution.

$$\begin{matrix} \text{Weights (Ib) of Discarded Plastic} & \text{Frequency}\\ \text{0.00-0.99} & \text{8}\\ \text{1.00-1.99} & \text{12}\\ \text{2.00-2.99} & \text{6}\\ \text{300-3.99} & \text{0}\\ \text{4.00-4.99} & \text{0}\\ \text{5.00-5.99} & \text{0}\\ \text{6.00-6.99} & \text{0}\\ \text{7.00-7.99} & \text{5}\\ \text{8.00-8.99} & \text{15}\\ \text{9.00-9.99} & \text{20}\\ \end{matrix}$$

Zinc oxide is amphoteric. Write balanced chemical equations for its reactions with an aqueous solution of hydrochloric acid and with an aqueous solution of sodium hydroxide . (Note: The hydroxide complex ion of zinc is [Zn(OH) 4]^2-.)

Is the experiment a binomial experiment? if so, find the probability of success. Explain. a. You select one card at random from a set of 7 cards, 4 labeled A and 3 labeled B. Then you select another card at random from the cards that remain. Success is getting a card labeled A each time. b. You roll a standard number cube 4 times. Assume that each time you roll the number cube, each number is equally likely to come up. For each trial, success is qetting an even number.

Choose the letter of the best answer. Cool, clear weather usually follows a a. warm front. b. cold front. c. stationary front. d. occluded front.

Graph the equation. Tell whether the equation is a function. y = 1

The product of two consecutive positive integers is 1,332 Explain how you can write and solve a quadratic equation to find the value of the larger integer.

The following is a system of two linear equations in two variables.

$$\left\{\begin{aligned} x + y & = 1 \\ 2 x + 2 y & = 2 \end{aligned} \right.$$

The graph of the first equation is the same as the graph of the second equation, so the system has ____ ____ solutions. We express these solutions by writing x = t; y = ____ where t is any real number. Some of the solutions of this system are (1, ____) , (-3, ____), and (5, ____).

A square parking lot of width w is bounded on all sides by a curb of height d with only one opening of width b. During a heavy rain the lot fills with water and it is of interest to determine the time, t, it takes for the water to completely drain from the lot after the rain stops. A scale model is to be used to study this problem, and it is assumed that

$$t=f(w, b, d, g, \mu, \rho)$$

where g is the acceleration of gravity, $\mu$ is the fluid viscosity, and $\rho$ is the fluid density. (a) A dimensional analysis indicates that two important dimensionless parameters are b/w and d/w. What additional dimensionless parameters are required? (b) For a geometrically similar model having a length scale of 1/10, what is the relationship between the drain time for the model and the corresponding drain time for the actual parking lot? Assume all similarity requirements are satisfied. Can water be used as the model fluid? Explain and justify your answer.

solve the following systems of equations algebraically. a) y=x^2-1 2x-y+2+0 b) x+y=3x^2-2 4x-y=-6x^2+4

Explain how you know the radical equation

$$\sqrt { x + 4 } = - 5$$

has no real solution without solving it.

Evaluate each determinant.

$$\left| \begin{array} { r r r r } { 3 } & { - 1 } & { 1 } & { 2 } \\ { - 2 } & { 0 } & { 0 } & { 0 } \\ { 2 } & { - 1 } & { - 2 } & { 3 } \\ { 1 } & { 4 } & { 2 } & { 3 } \end{array} \right|$$