4. Let the numbers be x - 2, x, and x + 2, where x is an odd number.
2(x² - 4) - 4x = (x + 2)² + 21
2x² - 8 - 4x = x² + 4x + 4 + 21
2x² - 4x - 8 = x² + 4x + 25
x² - 8x - 33 = 0
(x - 11)(x + 3) = 0
x = 11, or -3
When x = 11, x - 2 = 9, x + 2 = 13
When x = -3, x - 2 = -5, x + 2 = -1
Explanation: You are on the right track. However, rather than having three unknown variables, try to reduce your working out to one unknown variable. Since you know they are consecutive odd numbers, you can simply let x be the middle term and the other two be + and - 2, provided x is an odd number.
That will reduce your variable issues, and helps as the first and third provide a difference of two squares, and this works out very nicely.
Q5: is essentially the same process. Let your variables be something in the form of one unknown variable, and you should be okay from there. Let me know if you're stuck.
It would take 15 weeks and they would meet at 178lbs.
Answer:36
Step-by-step explanation:
36 to the third power
Answer:
4 elements of the sample space will have a purple ball
There are 10 elements altogether
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
Number of purple balls = 12, number of green balls = 13, total number of balls = 12+13 = 25
Probability (a ball drawn is purple) = 12/25
If a purple ball is drawn, two coins are tossed
1 coin has 2 elements
2 coins have 2×2 = 4 elements
Probability (a ball drawn is not purple) = 1 - 12/25 = (25-12)/25 = 13/25
If a ball drawn is not purple, three coins are tossed
1 coin has 2 elements
3 coins have 3×2 = 6 elements
Total elements = 4 + 6= 10 elements
