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Solve the following problems in essay form (1 to 2 paragraphs for each problem is fine). Please show all work and show how you came up with the answer. Please make sure that you address the following questions: (1) How did you get your answer? (2) What steps did you take? (3) Where did you begin? (4) Why did you do what you did? (5) Explain in detail what your answers to the problems are?
Problem 1 -
Mr. Smith invited 17 guests to his "Disco-reunion" party. He assigned each guest a number from 2 to 18, keeping 1 for himself. When everyone was dancing, he noticed that the sum of each couple's numbers was a perfects square. What was he number of Mr. Smith's partner?
Problem 2 -
Define "prime date" to be a date during the year where both the months (as a number, i.e. January is 1, February is 2, etc) and the day are both prime numbers. What is the average number of prime dates per week in one year?
what is the definition of slope formula and what is the formula? give 2
An object is close to a light source - say at a distance of x meters. Another object B is at a distance of 2.3 times x meters from the same light source or in equation from distance to B from the light source = 2.3 (x meters).
o polynomials are useful to ¿model¿ any kind of function on a closed interval. However, polynomials ¿get wild¿ at infinity, so they don¿t work well to try to extrapolate an arbitrary function past the closed interval in which it is being approxima..
Graphical method for finding the solution.
An interesting method for solving quadratic equations came from India. The steps are-Move the constant term to the right side of the equation. Multiply each term in the equation by four times the coefficient of the x2 term.
Conversely, suppose A and A^-1 are both matrices with integer entries. Prove that D(A_1, A_2) = +/- 1.
Find the intercepts of the graph of the equation- Y= (x2-4) / (X2-9). The intercepts are______(type ordered pair,usingintergers or fractions). Analyze the graph of the function R(x) = (x+9) / (x(x+18)). What is the domain of R(x)?
write the equation of the line with the given description passes through the point 06 with a slope of
When solving compound inequalities, why is it important to know if the problem is an "and" or "or" question? X>2 and x
Use the technique as specified in this lecture under the section Completing the Square to Determine the solutions (roots) of the equation. Verify each root by plugging the root back into the equation and performing the computation
One day a store sold 29 sweatshirts. White ones cost $9.95 and yellow ones cost $12.50. In all, $319.15 worth of sweatshirts were sold. How many of each color were sold?
Make the fractions of the LCM of the denominators.
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