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Questions in mathematics

[Answered] The product of two consecutive integers is 420. An equation is written in standard form to solve for the smaller integer by factoring. What is the constant of the quadratic expression in this equation? [tex]x^2+x+\square=0[/tex]

[Answered] What is the correct order of steps to change $4x + 2y = 14$ from standard form to slope-intercept form? 1. $2y = -4x + 14$ Rearrange so $x$ is first. 2. $4x + 2y = 14$ The original equation. 3. $2y = 14 - 4x$ Subtract $4x$ from both sides. 4. $y = -2x + 7$ Divide everything by?

[Answered] Which shows the terms of the series? [tex]$\sum_{n=1}^4 3(4)^{n-1}$[/tex] A. [tex]$4+12+48+192$[/tex] B. [tex]$4+12+36$[/tex] C. [tex]$3+12+48+192$[/tex] D. [tex]$3+12+48$[/tex]

[Answered] Factor completely $6 x-18$ A. $6(x+3)$ B. $6(x-3)$ C. $6 x(-18)$ D. Prime

[Answered] If a trinomial has a negative coefficient for the squared term, it is usually easier to factor by first factoring out the common factor -1. Use this method to factor the following trinomial. [tex]$-9 x^2-x+10$[/tex] Select the correct choice below and fill in any answer boxes within your choice.

[Answered] Apply the rules for order of operations to simplify $2+3-4+(5 \times 4)$. A. 22 B. 9 C. 21 D. 24

[Answered] Can someone translate it?: What's the fastest animal in the world?

[Answered] Which of the following is equivalent to $\frac{\sqrt[3]{32 x^3 y^6}}{\sqrt[3]{2 x^9 y^2}}$? What is $\sqrt[3]{\frac{16 y^4}{x^6}}$ in simplest form, where $x \geq 0$ and $y \geq 0$? A. $\sqrt[3]{16 x^6 y^4}$ B. $\frac{4 y^2}{x^3}$ C. $\sqrt[3]{\frac{y^4}{16 x^6}}$ $\frac{2 y(\sqrt[3]{2 y})}{x^2}$ D. $\sqrt[3]{\frac{16 y^4}{x^6}}$ $\frac{8 y(\sqrt[3]{2 y})}{v^3}$

[Answered] What is the following quotient? [tex]\frac{3 \sqrt{8}}{4 \sqrt{6}}[/tex]

[Answered] Which property does each equation demonstrate? Associative property [tex]z^4+z^3[/tex] Closure property Commutative property [tex](2 x^2+1 x)+(2 y^2+6 y)=(2 y^2+6 y)+(2 x^2+7 x)[/tex]