Hello!
We can begin by solving for c₃ given the equations:
c₃ = 3c₂ + 2c₁ - 2
c₃ = 3(2) + 2(4) - 2
Simplify:
c₃ = 6 + 8 - 2 = 12
We can now find the subsequent terms:
c₄ = 3(12) + 2(2) - 2 = 38
c₅ = 3(38) + 2(12) - 2 = 136
The answer is <span>16x2 − 8x + 1
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To be a perfect square trinomial, the rule must be used:
(a - b)² = a² - 2ab + b²
Let's check all choices
A. a = 7x, b = 4
(7x - 4)² = 49x² - 56x + 16
B. a = 2a, b = 5
(2a - 5)² = 4a² - 20a + 25
C. a = 5b, b = √10
(5b - √10)² = 25b² - 10√10 b + 10
D. a = 4x, b = 1
(4x - 1)² = 16x² - 8x + 1
CORRECT
10^6 can also be written as 10*10*10*10*10*10 which is equal to 1000000 (1 million)
Hope it helps :)
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate.
Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.
Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.
Tom is already in the fraction we like, so just keep this as 21/100.
Now, add 28/100, 30/100 and 21/100 to get 79/100.
Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100?
Another way of going about this is 100/100-79/100. The answer is 21/100
The probability of Liz winning is 21/100.
Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :)
