Answer:
Step-by-step explanation:
Step-by-step explanation:
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Answer:
Step-by-step explanation:
24,000 = 24 thousands
30,000 = 30 thousands
3,000 = 3 thousands
2,4000 = 2.4 thousands
"x" years
24 + 3x = 30 + 2.4x
3x - 2.4x = 30 - 24
0.6x = 6
x = <em>10 years</em>
#3: 15
#4: 13.2
#5: 5.44 (curious as to how you guessed 7)
#6: 7
#7: 7.3
#8: 15
#9: You'd round 0.9 to 1 and 3.78 to 4. 4/1 = 4
#10: Round 2.5 to 3. 36/3 = 12
#11: If they want you to round 0.25 down to 0, then 7/0 is undefined.
#12: 9.5 rounds to 10 142.5 rounds to 143. 143/10 = 14.3
#14: 24.8 cm divided by 175 = approximately 0.1417 cm per year. Round that up to approximately 0.14 per year.
11. x² - 7x = 0
x(x) - x(7) = 0
x(x - 7) = 0
x = 0 or x - 7 = 0
+ 7 + 7
x = 7
Solution Set: {0, 7}
12. 3x² - 4x = 20x + 27
+ 4x + 4x
3x² = 24x + 27
3x² - 24x - 27 = 0
x = -(-24) ± √((-24)² - 4(3)(-27))
2(3)
x = 24 ± √(576 + 324)
6
x = 24 ± √(900)
6
x = 24 ± 30
6
x = 4 ± 5
x = 4 + 5 or x = 4 - 5
x = 9 or x = -1
Solution Set: {9, -1}
