11 Matching Annotations
  1. Jul 2020
    1. f.real numbers.

      f. real numbers. \( \{ -9, -1.3, 0, 0.\overline{3}, \frac{\pi}{2}, \sqrt{9}, \sqrt{10} \} \)

    2. e.irrational numbers

      e. irrational numbers. \( \{ \frac{\pi}{2} , \sqrt{10} \} \)

    3. d.rational numbers

      d. rational numbers. \( \{ -9, -1.3, 0, 0.\overline{3}, \sqrt{9} \} \)

      \( 1.3 = \frac{13}{10} \)

      \( 0.\overline{3} = \frac{1}{3} \)

      \( 0 = \frac{0}{1} \)

      \( \sqrt{9} = \frac{3}{1} \)

    4. c.integers.

      c. integers \( \{ -9, 0, \sqrt{9} \} \)

    5. b.whole numbers

      b. whole numbers. \( \{ 0, \sqrt{9} \} \)

      0 is a whole number

    6. a.natural numbers

      a. natural numbers. \( \{ \sqrt{9} \} \)

      \( \{ \sqrt{9} \} = 3 \)

    7. Find the union:{3, 4, 5, 6, 7}∪{3, 7, 8, 9}.

      \( \{7,8,9,10,11\}\cup\{6,7,8,9,10,11,12\}=\{7,8,9,10,11,6,12\} \)

    8. Find the intersection:{3, 4, 5, 6, 7} ̈{3, 7, 8, 9}.

      \( \{3,4,5,6,7\}\cap\{3,7,8,9\}=\{3,7\} \)

    9. b.By how much does the formula underestimate or overestimate the actual cost shown in Figure P.1?

      \( 8893 - 8714 = 179 \)

      It underestimates by 179

    10. a.Use the formula T=4x2+330x+3310, described in Example 2, to find the average cost of tuition and fees at public U.S. colleges for the school year ending in 2014.

      \( T=4x^2 +330x +3310 \)

      Because 2014 is 14 years after 2000, we substitute 14 for x in the given formula.

      \( T=4(14)^2 + 330(14) +3310 \)

      \( T=4(196) +4620 +3310 \)

      \( T=784 +7930 \)

      \( T=8714 \)

    11. Evaluate 8+6(x-3)2 for x=13.

      Evaluate \( 8+6(x-3)^2 \) for \( x=13 \)

      \( 8 + 6 (13 - 3)^2 \)

      \( 8 + 6 (10)^2 \)

      \( 8 + 6 * 100 \)

      \( 8 + 600 \)

      \( 608 \)