Solve the system of equations using matrices.
x + 2y - 2z = -103x +
y + z = 21 x - 3y + 3z = 27
A. (6, -3, 4)
B. (9, -6, 4)
C. (6, -6, 5)
D. (9, -3, 5)
Answer: A
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Provide an appropriate response.IRS guidelines state that a married person under 65 years of age who can be claimed as a dependent on another person's tax return must file a return if(i) unearned income was over $750; or(ii) earned income was over $3925; or(iii) total of earned and unearned income was at least $5 and your spouse files a separate return and itemizes deductions; or(iv) total of earned and unearned income was more than the greater ofa) $750; orb) earned income (up to $3675) plus $250.Julia is 45 years old and can be claimed as a dependent by her father. She had earned income of $3800 and unearned income of $200. Julia's husband Bret files a separate return but does not itemize deductions. Must Julia file a return? Explain.
What will be an ideal response?
Solve the problem.If f(x, y) = (4000ey)/(1 + /2) represents the population density of a planar region on Earth, where x and y are measured in miles, find the number of people within the rectangle -6 ? x ? 6 and -3 ? y ? 0.
A. 8000(1 - e-3) ln ? 15,807
B. 8000(1 - e-3) ln 4 ? 10,538
C. 4000(1 - e-3) ln 4 ? 5269
D. 16,000(1 - e-3) ln 4 ? 21,076
Determine whether the argument is valid or invalid.Loretta's hobby is stamp collecting. If her husband likes to fish, then Loretta's hobby is not stamp collecting. If her husband does not like to fish, then Nathan likes to read. Therefore, Nathan likes to read.
A. Invalid B. Valid
Answer the following statement(s) true (T) or false (F)
The NCTM Standards recommended that students develop both conceptual and procedural knowledge in mathematics.