Graph each inequality on a coordinate plane. 4x + 2y ≤ 8

The sum of four consecutive integers is -18. What is the greatest of these integers?

A sheet of cardboard 12 in square is used to make an open box by cutting squares of equal size from the four corners and folding up the sides. What size squares should be cut to obtain a box with largest possible volume?

It has been said that heat pumps can't possibly deliver more energy into your house than they consume in operating. Can they or can't they? Explain.

Solve each equation, and check your solution. 0.05x+0.12(x+5000)=940

Find each quotient. $18\div(-1)$

Use a calculator to solve the inequality. Graph your solution. -3.9c ≤ 43.68

Simplify each expression. $2 ^ { 2 } + 6 ( 8 - 5 ) \div 2$

What happens to set a great battle in motion? Explain the connection between this event and the fortune told to Paris' parents.

Use a change of variables to evaluate the following definite integral. $\int_{0}^{1} \frac{v^{3}+1}{\sqrt{v^{4}+4 v+4}} d v$

Test your understanding of the corporate income statement and the statement of stockholders’ equity by answering the following questions. Select the best choice from among the possible answers given. Which statement is true? a. The Public Company Oversight Board evaluates internal controls. b. GAAP governs the form and content of the financial statements. c. Management audits the financial statements. d. Independent auditors prepare the financial statements.

What causes heartburn? What are some possible ways to alleviate heartburn?

How do the graphs of $f(x)=\frac{1}{x}$ and $f(x)=-\frac{1}{x}$ differ, and why?

Write an algorithm that receives as input the distinct numbers a, b, and c and assigns the values a, b, and c to the variables x, y, and z so that x $\lt$ y $\lt$ z.