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Questions in mathematics

[Done] According to Beale's method, what is the iterative process used for in solving quadratic programming problems? A) To solve linear programming problems B) To optimize the objective function C) To check the feasibility of the solution D) To define the Hessian matrix

[Done] Question 21: In the context of quadratic forms, what does it mean for a quadratic form to be positive definite? (A) The quadratic form is convex (B) The quadratic form is concave (C) The quadratic form is non-convex (D) The quadratic form is indefinite

[Done] Let S = {(1, 2, 3), (1, 0, -1)}. The value of k for which the vector (2, 1, k) belongs to the linear span of S is: (1) 1 (2) 2 (3) 3 (4) 0

[Done] A school bulletin board is 7 meters long and 5 meters wide. What is the area of the bulletin board?

[Done] Find the least number that should be added to the given number so that the new number should be divisible by the number in the bracket: (a) 432 (5) (b) 4621 (3) (c) 999 (2) (d) 7653 (10) (e) 3047 (9) (f) 9324 (5)

[Done] Willis analyzed the following table to determine if the function it represents is linear or non-linear. First, he found the differences in the $y$-values as $7-1=6, 17-7=10$, and $31-17=14$. Then he concluded that since the differences of 6, 10, and 14 are increasing by 4 each time, the function has a constant rate of change and is linear. What was Willis's mistake? | x | y | |---|---| | 1 | 1 | | 2 | 7 | | 3 | 17 | | 4 | 31 | A. He found the differences in the $y$-values as $7-1=6, 17-7=10$, and $31-17=14$. B. He determined that the differences of 6, 10, and 14 are increasing by 4 each time. C. He concluded that the function has a constant rate of change. D. He reasoned that a function that has a constant rate of change is linear.

[Done] Solve $|3x| + 3 < 2$ A) All real numbers B) There is no solution. C) $-1 D) $x>1$ or $x<-1$

[Done] Select the correct answer. State the domain and range of the following function. $\left\{(2,3),(7,9),(4,-7),(6,2),(3,-5)\right\}$ A. Domain: $\{-7,-5,2,3,7\}$; Range: $\{2,4,6,9\}$ B. Domain: $\{2,2,3,4,7\}$; Range: $\{-7,-5,2,9,3\}$ C. Domain: $\{2,3,4,6,7\}$; Range: $\{-7,-5,2,3,9\}$ D. Domain: $\{-7,-5,2,3,9\}$; Range: $\{2,3,4,6,7\}$

[Done] Which of the following represents the factorization of the trinomial below? [tex]6 x^2+11 x+3[/tex] A. [tex](3 x+1)(2 x+3)[/tex] B. [tex](3 x+2)(2 x+3)[/tex] C. [tex](3 x+3)(2 x+2)[/tex] D. [tex](3 x+3)(2 x+1)[/tex]

[Done] Solve the equation, and enter solutions from least to greatest. If there is only one solution, enter "n.a." for the second solution. [tex] \frac{1}{x}+\frac{1}{x-3}=\frac{x-2}{x-3} x=1 \quad \text { or } x=\square [/tex]