You usually state the Distributive Property for number algebra in just one equation.

$$a(b+c)=ab+ac$$

Explain why the Distributive Property for matrices was stated in two equations. $A(B+C)=AB+AC$ and

$$(B+C)A=BA+CA$$

Symmetry about the line x = h. The graph of a polynomial function $y = f ( x )$ is symmetric about the line $x = h$ if $f ( h + p ) = f ( h - p )$ for every number p. For $f ( x ) = a x ^ { 2 } + b x + c , a \neq 0 ,$ set $f ( h + p ) = f ( h - p )$ and show that $h = - \frac { b } { 2 a }$. This exercise proves that the graph of a quadratic function is symmetric about its axis: $x = - \frac { b } { 2 a }$

Copy each sentence. Underline the main clause and circle the subordinate clause. This medium will offer shows that you can watch any time.

Some plants respond to light with a sudden enlargement of their leaf pores. This response is important because it enables the plant to increase its intake of.

(1) carbon dioxide

(2) soil

(3) oxygen

(4) nitrogen

Find the domain of the given functions.

$$f(D)=\sqrt D+\frac{1}{D-2}$$

Solve. Check your answer.

$$\frac { 8 } { 3 x ^ { 2 } } = \frac { 2 } { x } - \frac { 1 } { 3 }$$

What are two major functions of larvae?

Use your knowledge of the boldfaced words to answer the following question. If you felt that someone was displaying affectation, would you say that the person was cracking the whip, was putting on airs, or was looking on the bright side?

Indicate whether the following statements are true or false. Explain. If a closed system undergoes a process for which the change in total energy is positive, the heat transfer must be positive.

Linda bought a washer and dryer from Millpage Laundry Supplies for y dollars. She signed an installment agreement requiring a 15% down payment and monthly payments of x dollars for one year. Express the total amount of the monthly payments algebraically.

The equation below describes a process involving magnetism. Solve for the unknown quantity and draw a sketch that represents a possible process described by the equation. $\left(1.6 \times 10^{-19} \mathrm{C}\right)\left(2.0 \times 10^{7} \mathrm{m} / \mathrm{s}\right)\left(3.0 \times 10^{-5} \mathrm{T}\right)$ $=\left(1.7 \times 10^{-27} \mathrm{kg}\right)\left(2.0 \times 10^{7} \mathrm{m} / \mathrm{s}\right)^{2} / \mathrm{r}$

Solve equation $4m=10$.

$$\dfrac{3}{8}w=1$$

Let $Y_1 < Y_2 < ... < Y_n$ be the order statistics of a random sample of size n from a distribution of the continuous type having distribution function F(x). (a) What is the distribution of $U = 1 - F \left( Y _ { j } \right) ?$ (b) Determine the distribution of $V = F \left( Y _ { n } \right) - F \left( Y _ { j } \right) + F \left( Y _ { i } \right) - F \left( Y _ { 1 } \right),$ where i < j.