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Questions in mathematics

[Done] Rewrite the expression [tex]x^2+14x + 49[/tex] by applying an appropriate structure.

[Done] Q-4 Estimate the number 1893 to the nearest tens, hundreds, and thousands. Q-5 Fill in the blanks: a. 1111 + (2222 + 3333) = (____ + 3333) + ____

[Done] Which expression is equivalent to 24b - 34ab? (A) 4b(6 - 8a) (B) 4b(6b - 8ab) (C) 2b(12 - 17a) (D) 2b(12 - 17ab)

[Done] Compare numbers using < or > signs. | Number | |---| | 202,354 | | 1,502,236 | | 2,910,230 | | 3,154,125 | | 40,205,209 | | 5,720,106 | | 6,018,115 |

[Done] Which of the given numbers can be divided to get a perfect square? (a) 8820 (b) 450 (c) 500 (d) 128 (e) 28227 (f) 2156

[Done] $\left[\begin{array}{cc}5 & 4 \\ 2 & -1\end{array}\right] \cdot\left[\begin{array}{c}-4 \\ 3\end{array}\right]$

[Done] The hypotenuse of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle measures $10 \sqrt{5} in$. What is the length of one leg of the triangle? A. $5 \sqrt{5}$ B. $5 \sqrt{10}$ C. $10 \sqrt{5}$ D. $10 \sqrt{10}$

[Done] Between which two ordered pairs does the graph of [tex]f(x)=\frac{1}{2} x^2+x-9[/tex] cross the negative [tex]x[/tex]-axis? Quadratic formula: [tex]x=\frac{-b \pm \sqrt{b^2-4 a c}}{2 a}[/tex] A. ( [tex]-6,0[/tex] ) and ( [tex]-5,0[/tex] ) B. ( [tex]-4,0[/tex] ) and ( [tex]-3,0[/tex] ) C. ( [tex]-3,0[/tex] ) and ( [tex]-2,0[/tex] ) D. ( [tex]-2,0[/tex] ) and ( [tex]-1,0[/tex] )

[Done] The lower bulb at a rate of 5 grams per minute. The second hourglass contains 200 grams of sand in the upper bulb and sand flows down into the lower bulb at a rate of 2 grams per minute. The system of equations below model the amount of sand remaining, $y$, in the upper bulbs of the hourglasses after $x$ minutes. [tex] \begin{array}{l} y=300-5 x \\ y=200-2 x \end{array} [/tex] First, select the point on the graph that represents the solution to the system of equations. Notice that one of the equations in the system has already been graphed. Then, determine the approximate number of minutes it takes for the amount of sand in the top bulbs of the hourglasses to be equal.

[Done] Graph the rational function [tex]y=\frac{x^2-3}{x-1}[/tex]. Both branches of the rational function pass through which quadrant? A. Quadrant 2 B. Quadrant 4 C. Quadrant 3 D. Quadrant 1