91Ó°ÊÓ

Graph the equation. $$5 x-2 y=8$$

Find a linear function \(g\) given \(g\left(-\frac{1}{4}\right)=-6\) and \(g(2)=3 .\) Then find \(g(-3)\)

Graph the function. $$f(x)=\sqrt{x}-1$$

During the nineteenth century, \(75,029\) new words entered the English language. This is about \(46.9 \%\) more than the number of new words entered in the seventeenth century. (Source: Philip Durkin and Katherine Martin, Oxford University Press; "English by the Book," National Geographic, December 2013 ) Find the number of new words that appeared in the English language in the seventeenth century.

Graph the function. $$f(x)=-x^{2}+4$$

The average worldwide daily calorie intake per person has increased from 2200 to 2800 calories since the early 1960 s. The average daily calorie intake per person in the United States is \(3688 .\) This is about \(86.4 \%\) more than the average daily calorie intake per person in Haiti. (Sources: UN Food and Agriculture Organization; World Health Organization) Find the average daily calorie intake per person in Haiti.

Determine the slope, if it exists, of the graph of the given linear equation. $$f(x)=4 x-\frac{1}{4}$$

Kea borrowed money from her father at \(5 \%\) simple interest to help pay her tuition at Wellington Community College. At the end of 1 year, she owed a total of \(\$ 1365\) in principal and interest. How much did she borrow?

Miles makes an investment at \(4 \%\) simple interest. At the end of 1 year, the total value of the investment is \(\$ 1560 .\) How much was originally invested?

Solve and write interval notation for the solution set. Then graph the solution set. $$2 x<8 \text { or } x+3 \geq 10$$