Answer:
a) d = 3 b) a(n) = 3n – 13 c) a(27) = 68
Step-by-step explanation:
solutions are (x, y) = (29,13) and (9349, 4181), which lead to (a, b) = (15,5) and (4895 ... corresponding to integer values of x give the quadruples. (x, y, z ... Since no number congruent to 3, modulo 4, can be written as the sum of two squares ... k is odd, the equation x2 - (k2 - 4)y2 = 4 has smallest solution in positive integers .
Answer:
- c0 = 8
- c1 = 24
- c2 = 30
- c3 = 42
Step-by-step explanation:
It is convenient to notice that the pattern of coefficients that need to be multiplied and summed is a pattern of Xs.
For the constant, c0, only the constants need to be multiplied.
c0 = 4·2 = 8
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For the x-term coefficient, the constant of one series needs to be multiplied by the x-term of the other, and the two products added.
c1 = 4·5 +2·2
c1 = 24
If you draw real or imagined lines between the coefficients being multiplied, you see that they form an X.
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For the x²-term coefficient, the above X gets wider, and a vertical | is added. That is constant multiplies x² term and x-term multiplies x-term. The sum has three terms:
c2 = 4·3 +2·4 +2·5
c2 = 30
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For the x³ term, there are now two Xs, one wide and one narrower. Constant terms multiply x³ terms and x-terms multiply x² terms.
c3 = 4·3 +2·2 +2·3 +5·4
c3 = 42
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This sort of pattern of Xs can be used wherever polynomials (or multidigit numbers) are multiplied. It can help you ensure that all of the products that need to be included in a sum are accounted for.
If you would like to know which is the most reasonable goal for Kirk and his family to plan to save, you can calculate this using the following steps:
a. $225 a month * 2 years * 12 months = 225 * 2 * 12 = $5400
b. $200 a month * 3 years * 12 months = 200 * 3 * 12 = $7200
c. $100 a month * 4 years * 12 months = 100 * 4 * 12 = $4800
d. $75 a month * 5 years * 12 months = 75 * 5 * 12 = $4500
The most reasonable goal to plan to save would be goal b, because $7200 is more than <span>$6845.</span>
What is the nervous system escape room?
Answer:
sure how can I help you? please tell me
