Questions in mathematics

Questions in mathematics

📝 Answered - Which of these is equivalent to $9^2+4^2$? A. $(9+9)+(4+4)$ B. $(9 \times 9)+(4 \times 4)$ C. $(9+4)^2$ D. $(9 \times 4)^2$

📝 Answered - Decide whether $(6 k+m)(k+5 m)$ or $(6 k+5 m)(k+r$ $6 k^2+31 m k+5 m^2$ Choose the correct form below.

📝 Answered - Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following equation: [tex]$y=x^2+2 x-9$[/tex] A. $(-1,-10)$ B. $(-1,-9)$ C. $(1,10)$ D. $(1,-10)$

📝 Answered - Simplify the expression: $y^n \div y^4$

📝 Answered - Wapi simplified an expression. His work is shown below: [tex]7(8.5-1.5)+8 \div 2[/tex] Step 1: [tex]7(7)+8 \div 2[/tex] Step 2: [tex]49+8+2[/tex] Step 3: [tex]57 \div 2[/tex] Step 4: 28.5 In which step did Wapi make his first mistake? A. Step 1 B. Step 2 C. Step 3 D. Step 4

📝 Answered - What is $x^2+21 x+110$ in factored form?

📝 Answered - School rules permit no fewer than 2 teachers per 25 students. There are at least 245 students enrolled. If [tex]$x$[/tex] represents teachers and [tex]$y$[/tex] represents students, which system of linear inequalities can be used to determine the possible number of teachers and students at the school? A. [tex]$2 y \geq 25 x$[/tex] and [tex]$y \geq 245$[/tex] B. [tex]$2 y \leq 25 x$[/tex] and [tex]$y \geq 245$[/tex] C. [tex]$25 y \leq 2 x$[/tex] and [tex]$y \geq 245$[/tex] D. [tex]$25 y \geq 2 x$[/tex] and [tex]$y \geq 245$[/tex]

📝 Answered - Find $h$ so that $x+5$ is a factor of $x^4+6 x^3+9 x^2+h x+20$.

📝 Answered - Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5 K participant and $45 for each 10 K participant. Her goal is to raise $9,500. If [tex]$x$[/tex] represents the number of participants in the 5 K race and [tex]$y$[/tex] represents the number of participants in the 10 K race, the linear equation for the given scenario is [ ] [tex]$x+$[/tex] [ ] [tex]$y=$[/tex] [ ]. If Eve raises exactly $9,500, is it possible for there to be 220 participants in the 5 K race? [ ] (yes/no)

📝 Answered - Wen is factoring the polynomial, which has four terms: [tex] \begin{array}{l} 6 x^3-12 x^2+7 x-14 \\ 6 x^2(x-2)+7(x-2) \end{array} [/tex] Which is the completely factored form of his polynomial? A. [tex]$\left(6 x^2+7\right)(x-2)$[/tex] B. [tex]$\left(6 x^2-2\right)(x+7)$[/tex] C. [tex]$\left(6 x^2+2\right)(x-7)$[/tex] D. [tex]$\left(6 x^2-7\right)(x+2)$[/tex]