Questions in mathematics

Questions in mathematics

📝 Answered - Factor completely. [tex]$b^2-12 b+36$[/tex]

📝 Answered - Which expression is equivalent to 21∛15 - 9∛15 ?

📝 Answered - 1. [tex]\frac{1}{6} \times \frac{5}{9}=[/tex] 2. [tex]\frac{2}{5} \times \frac{7}{8}=[/tex] 3. [tex]\frac{6}{7} \times \frac{2}{9}=[/tex] 4. [tex]18 \times \frac{5}{6}=[/tex] 5. [tex]\frac{5}{24} \times \frac{8}{15}=[/tex] 6. [tex]\frac{16}{7} \times \frac{21}{8}=[/tex] 7. [tex]2 \frac{11}{12} \times \frac{2}{5}=[/tex] 8. [tex]1 \frac{3}{4} \times \frac{20}{21}=[/tex] 9. [tex]4 \frac{9}{10} \times 1 \frac{1}{7}=[/tex] 10. [tex]8 \frac{1}{3} \times 4 \frac{1}{2}[/tex]

📝 Answered - Lorne subtracted $6 x^3-2 x+3$ from $-3 x^3+5 x^2+4 x-7$. Use the drop-down menus to identify the steps Lorne used to find the difference. 1. $\left(-3 x^3+5 x^2+4 x-7\right)+\left(-6 x^3+2 x-3\right)$ 2. $\left(-3 x^3\right)+5 x^2+4 x+(-7)+\left(-6 x^3\right)+2 x+(-3)$ 3. $\left[\left(-3 x^3\right)+\left(-6 x^3\right)\right]+[4 x+2 x]+[(-7)+(-3)]+\left[5 x^2\right]$ 4. $-9 x^3+6 x+(-10)+5 x^2$ 5. $-9 x^3+5 x^2+6 x-10

📝 Answered - What is the probability of rolling a sum of 5 on a standard pair of six-sided dice? Express your answer as a fraction or a decimal number rounded to three decimal places, if necessary.

📝 Answered - Find the HCF of the following numbers: (i) 32, 88 (ii) 108, 288 (iii) 425, 200, 100?

📝 Answered - Let y₁ be a solution to y'' + P(x)y' + Q(x)y = 0, x ∈ I such that y₁(x₀) = y₁'(x₀) = 0, for some x₀ ∈ I, where P(x) and Q(x) are continuous on I. Then which of the following is/are TRUE? (a) y₁ is linearly dependent to any other solution y₂ of the differential equation. (b) y₁ = 0. (c) W(x) = 0, ∀ x ∈ I, where W(x) is the Wronskian of y₁ and any other solution y₂. (d) All of the above.

📝 Answered - La cantidad de millones de bacterias vivas en un cultivo, después de aplicar un tratamiento, está dada por la expresión [tex]$f(x)=1+\neq \overline{10 \pm x}$[/tex] Donde [tex]$x$[/tex] es el número de días que han pasado desde que se aplicó el tratamiento. ¿Cuál es el conjunto de todos los valores de [tex]$x$[/tex] para el cual [tex]$\ddot{i}(x)$[/tex] está definida? A. [tex]$x \cdot 10$[/tex] B. [tex]$x\ \textgreater \ 10$[/tex] C. [tex]$0^{\prime \prime} x$[/tex] " 10 D. [tex]$0\ \textless \ x\ \textless \ 10$[/tex]

📝 Answered - Solve the equation using the quadratic formula. [tex]2 x^2-3 x-1=0[/tex] The solution set is $\square$. (Simplify your answer.)

📝 Answered - Find the simplified product where [tex]$x \geq 0: \sqrt{5 x}\left(\sqrt{8 x^2}-2 \sqrt{x}\right)$[/tex]