Questions in mathematics

Questions in mathematics

[Answered] If [tex]$x^2+m x+m$[/tex] is a perfect-square trinomial, which equation must be true? [tex]$x^2+m x+m=(x-1)^2$[/tex] [tex]$x^2+m x+m=(x+1)^2$[/tex] [tex]$x^2+m x+m=(x+2)^2$[/tex] [tex]$x^2+m x+m=(x+4)^2$[/tex]

[Answered] Dimitri is solving the equation $x^2-10 x=21$. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial? A. 0 B. 4 C. 25 D. 100

[Answered] \begin{aligned} 4 x+3 y &=-14 \\ 8 x+10 y &=-36\end{aligned}

[Answered] Which is the BEST term to describe the number 125 in the equation $\sqrt[3]{125}=5$? A. rational exponent B. perfect cube C. perfect square D. index

[Answered] Which expression is equal to $\sum_{n=1}^{50} n^2+6 \sum_{n=1}^{50} n$? A. $\frac{50(51)(52)}{6}+6\left(\frac{(50)(51)}{2}\right)$ B. $\frac{50(51)(101)}{6}+\left(\frac{(50)(51)}{2}\right)$ C. $\frac{50(51)(101)}{6}+6\left(\frac{(50)(51)}{2}\right)$

[Answered] Determine if the expression $-2 s-3 s^5-r^3 s$ is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.

[Answered] $P(x)=x^4-2 x^3+k x-4$, where $k$ is an unknown integer. $P(x)$ divided by $(x-1)$ has a remainder of 0. What is the value of $k$?

[Answered] \left\{\begin{array}{l}11 x-9 y=2 \\ 13 x+5 y=-11\end{array}\right.

[Answered] The density of a fish tank is [tex]$0.3 \frac{\text { fish }}{\text { feet }^3}$[/tex]. There are 15 fish in the tank. What is the volume of the tank?

[Answered] If [tex]f(x)=\frac{x}{2}-3[/tex] and [tex]g(x)=3 x^2+x-6[/tex], find [tex](f+g)(x)[/tex]. A. [tex]4 x^2-9[/tex] B. [tex]3 x^2+\frac{3}{2} x-9[/tex] C. [tex]3 x^2+\frac{3}{2} x-3[/tex] D. [tex]3 x^2-\frac{1}{2} x-3[/tex]