11 Matching Annotations
1. Jul 2020
2. mgonzalezm.keybase.pub mgonzalezm.keybase.pub
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 $$x=13$$

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

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

$$8 + 6 * 100$$

$$8 + 600$$

$$608$$