Questions in mathematics

Questions in mathematics

📝 Answered - Solve the equation [tex]$6 x-3=-12$[/tex].

📝 Answered - 6. If [tex]p =\frac{-4}{9}, q =\frac{2}{3}, r =\frac{-8}{11}[/tex]. Verify the following: a) [tex]p+(q+r)=(p+q)+r[/tex] b) [tex]p \times q=q \times p[/tex] c) [tex]p \times(q+r)=(p \times q)+(p \times r)[/tex]

📝 Answered - Which expression is equivalent to $\sqrt{128 x^8 y^3 z^9}$ ? Assume $y \geq 0$ and $z \geq 0$. A. $2 x^2 z^2 \sqrt{8 y^3 z}$ B. $4 x^2 y z^3 \sqrt{2 x^2}$ C. $8 x^4 y z^4 \sqrt{2 y z}$ D. $64 x^4 y z^4 \sqrt{2 y z}$

📝 Answered - Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag. Which shows subset A? A. [tex]$A={6}$[/tex] B. [tex]$A={1,3,5,7}$[/tex] C. [tex]$A={1,2,3,4,5,7,8}$[/tex] D. [tex]$A={1,2,3,4,5,6,7,8}$[/tex]

📝 Answered - Solve for $x$ in the equation $x^2-12 x+36=90$. A. $x=6 \pm 3 \sqrt{10}$ B. $x=6+2-\sqrt{7}$ C. $x=12+3 \sqrt{22}$ D. $x=12 \pm 3 \sqrt{10}$

📝 Answered - Use a calculator to evaluate: [tex]$\frac{1.5 \times 3 \div 2.4 \times 0.6+2.44}{1.2 \div 12}$[/tex]

📝 Answered - Use synthetic division and the Remainder Theorem to find the indicated function value. [tex]f(x)=7 x^4+10 x^3+6 x^2-5 x+53 ; f(2)[/tex]

📝 Answered - $\log \left(10^{6 x}\right)=?$ A. $x$ B. $10^6$ C. 60 D. $6 x$

📝 Answered - Eliminate the parameter $t$ to find a Cartesian equation in the form $x=f(y)$ for: $\left\{\begin{array}{l} x(t)=-2 t^2 \\ y(t)=1+3 t \end{array}\right.$ The resulting equation can be written as $x=$

📝 Answered - Factor completely $-4 x^2+16 x-24$ A. $-1(x^2-16 x+24)$ B. $-4(x^2-4 x+6)$ C. $-4 x(x^2-4 x+6)$ D. $-4(x^2+4 x-6)$