Questions in mathematics

Questions in mathematics

[Jawaban] How do I factor the expression completely: [tex]x^2 - 4x + 3[/tex]?

[Jawaban] What is the expanded form of \((3 + x)^2\)?

[Jawaban] Solve for \(0 \leq x \leq 360\). a) \(\sin^2x - \sin x = 0\)

[Jawaban] Solve the equation: \[ 4^x - 10 \cdot 2^x + 16 = 0 \]

[Jawaban] What is the LCM (Least Common Multiple) of the following pairs of numbers? 1. 4 and 14 2. 12 and 21 3. 16 and 12 4. 25 and 30 5. 40 and 50 6. 18 and 24

[Jawaban] The volume, [tex]V \, \text{cm}^3[/tex], of a tin of radius [tex]r \, \text{cm}[/tex] is given by the formula \[V = \pi (40r - r^2 - r^3)\] Find the positive value of [tex]r[/tex] for which \[\frac{dV}{dr} = 0\] and find the value of [tex]V[/tex] which corresponds to this value of [tex]r[/tex].

[Jawaban] Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8? A. \( \frac{1}{9} \) B. \( \frac{2}{9} \) C. \( \frac{5}{18} \) D. \( \frac{5}{432} \)

[Jawaban] explain how you can tell that 31/33 is in simplest form

[Jawaban] Please help with this, and please show me the steps to getting the answers

[Jawaban] How do you factorize this expression? \[ 8st + 7su + 9sv \]