Questions in Grade High-school

Questions in Grade High-school

[Terjawab] Is [tex]4xy + 2y = 9[/tex] linear? If yes, write the equation in standard form and determine the x- and y-intercepts.

[Terjawab] What is the time interval between the release of the ball and the time it reaches its maximum height? The acceleration due to gravity is 9.81 m/s\(^2\) and the maximum height is 4.4 m. Neglect air resistance.

[Terjawab] A person walks 25 m west and then 45 m at an angle of 60 degrees north of east. What is the magnitude of the total displacement?

[Terjawab] Prove the identity: \[ \cos(3x) + \cos(x) = 2\cos(2x)\cos(x) \]

[Terjawab] What is \(0.2\) as a whole number?

[Terjawab] What happens to the brightness of the light from each bulb as each new bulb is added?

[Terjawab] Solve the inequality: \(4 < n + 2\). First, solve the inequality for \(n\): 1. Subtract 2 from both sides: \[ 4 - 2 < n + 2 - 2 \] \[ 2 < n \] In words, the solution to the inequality \(4 < n + 2\) is that \(n\) must be greater than 2.

[Terjawab] What is the value of \( f(-4) \) in the piecewise function? \[ f(x) = \begin{cases} -x - 5 & \text{for } -5 \leq x \leq -2 \\ -x^2 + 1 & \text{for } -2 < x \leq 2 \\ (x-3)^2 + 2 & \text{for } 2 < x \leq 4 \end{cases} \] (Note: Make sure the intervals make sense and check if \( x = -4 \) falls within one of the specified intervals.)

[Terjawab] A basketball rolls off a 0.70 m high desk and strikes the floor 0.25 m away from the base of the desk. How fast was the ball rolling?

[Terjawab] Name three roles you play in your relationships with others. Explain when you play each role.