Questions in Grade High-school

Questions in Grade High-school

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

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

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

[Done] 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].

[Done] In a class, \(\frac{1}{4}\) of the students like board games, \(\frac{7}{12}\) of the students like video games, and the remaining 4 students like card games. How many students are there in the class?

[Done] Two heterozygous white (brown fur is recessive) rabbits are crossed.

[Done] 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. \( \frac{5}{432} \)

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

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

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