X=2
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Answer:
State legislatures passed bills to thwart desegregation through “freedom-of-choice plans, which allowed parents to choose among several schools; transfer options, which permitted parents to move their children out of integrated schools; and grade-a-year plans, which started desegregation in the first or twelfth grade
Answer:
{-0.36, 8.36) to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x = 3
(x - 4)^2 - 16 = 3
(x - 4)^2 = 19
Taking square roots:
x - 4 = +/- √19
x = 4 +/- √19
x = {-0.36, 8.36} to nearest 1/100.
Notice how 2^2 = 4 is one short of 5, so this means we can say 4/5 = 0 remainder 4 or we can write that "remainder 4" as "remainder -1" to say the same basic thing
Using modulus arithmetic, we can say...
2^2 = 4 = -1 (mod 5)
(2^2)^31 = (-1)^31 = -1 (mod 5)
2*(2^2)^31 = 2*(-1) (mod 5)
2^63 = -2 = 3 (mod 5)
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So the remainder of 2^63 divided by 5 is the value 3
Answer: 3
