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Questions in mathematics

📝 Answered - What is the simplified base for the function $f(x)=2\left(\sqrt[3]{27}^{2 x}\right)$?

📝 Answered - Select the correct answer. Consider this quadratic equation. [tex]x^2+1=2 x-3[/tex] Which expression correctly sets up the quadratic formula? A. [tex]\frac{-(-2) \pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex] B. [tex]\frac{-(-2) \pm \sqrt{(-2)^2-(1)(4)}}{2(2)}[/tex] C. [tex]\frac{-2 \pm \sqrt{(-2)^2-4(1)(4)}}{2(1)}[/tex] D. [tex]\frac{-2 \pm \sqrt{(2)^2-4(1)(-2)}}{2(1)}[/tex]

📝 Answered - Evaluate $(24-(12 \div 9)+16)-8 \times 3$

📝 Answered - Factor completely. [tex]3 x^2+7 x-6[/tex] A. [tex](x-6)(3 x+1)[/tex] B. [tex](x-3)(3 x+2)[/tex] C. [tex](x+3)(3 x-2)[/tex] D. [tex](x+6)(3 x-1)[/tex]

📝 Answered - Solve $\frac{|2 x+2|}{5}=-3$

📝 Answered - $2.35 \cdot \frac{2}{3}=$ A. $\frac{7}{30}$ B. $\frac{7}{15}$ C. $\frac{27}{30}$ D. $\frac{47}{30}$

📝 Answered - If [tex]f(x)=3^x+10x[/tex] and [tex]g(x)=4x-2[/tex], find [tex](f+g)(x)[/tex] A. [tex]$17x-2$[/tex] B. [tex]$3^x+14x-2$[/tex] C. [tex]$3^x+6x+2$[/tex] D. [tex]$3^x-6x+2$[/tex]

📝 Answered - Given vectors $u$ and $v$, with $| u |=10$ and $| v |=12$, and the angle between the vectors is $53^{\circ}$, what is $u \cdot v$?

📝 Answered - Subtract. $(3x - 4y) - (4x - 3y)$

📝 Answered - 1. Simplify the expression [(p ∧ q) ↔ q] by using algebra laws. 2. Simplify the following by using algebra laws ¬(p ∧ q) ∨ (¬p ∧ q).