Graph the system of linear inequalities and indicate the solution set.

$$\left. \begin{array} { l } { x - y > 5 } \\ { 6 x + 5 y \leq 30 } \end{array} \right.$$

Compare each pair of numbers. Use <, =, or >. 4 3/10 ○ 3 9/10

Explain the connection between the solutions of a quadratic equation and the graph of the related quadratic function.

Consider the function f and the points a, b, and c. Find the area function A(x)=

$$\int _ { a } ^ { x } f ( t ) d t$$

using the Fundamental Theorem. f(x)=

$$\cos \pi x$$

; a=0, b=

$$\frac { 1 } { 2 }$$

, c=1

Solve the system.

$$\left\{ \begin{array} { l } { \log _ { y } x = 3 } \\ { \log _ { y } ( 4 x ) = 5 } \end{array} \right.$$

Find the indicated area under the standard normal curve. If convenient, use technology to find the area. To the right of z = 3.22

What features of chloroplasts help maximize the amount of light that can be absorbed?

Follow the four-step method for this problem. Along with the answer, include the equation you used to solve the problem. There were 254 horses in the north corral yesterday. The rancher moved some of the horses to the south corral. Only 126 horses remained in the north corral. How many horses were moved to the south corral?

Let

$$A = \left[ \begin{array} { r r } { 1 } & { 2 } \\ { 0 } & { - 1 } \end{array} \right] , B = \left[ \begin{array} { r r } { 0 } & { - 1 } \\ { 1 } & { 1 } \end{array} \right] , C = \left[ \begin{array} { r r } { - 2 } & { 0 } \\ { 0 } & { 1 } \end{array} \right]$$

. Find AB and BA.

Sketch the surface.

$$z = 1 + y ^ { 2 } - x ^ { 2 }$$

You have two flat metal plates, each of area 1.00 m$^{2}$, with which to construct a parallel-plate capacitor. If the capacitance of the device is to be 1.00 F, what must be the separation between the plates?

Graph the given equation. 3x=−2y

In the metric system, small quantities of liquid are measured in milliliters (mL) or cubic centimeters

$$\left( \mathrm { cm } ^ { 3 } \text { or } \mathrm { cc } \right)$$

. A liter is 1000 mL or 1000 cc. The capacity of the cup in problem 18 is about what fraction of a liter?

Let A be a 3 x 3 matrix such that |A| = 5. Is it possible to find |2A|? Explain.