Questions in mathematics

Questions in mathematics

[Done] Prove the identity: \[ \cos(A + B + C) = \cos A \cos B \cos C - \cos A \sin B \sin C - \sin A \cos B \cos C - \sin A \sin B \cos C \]

[Done] The period of [tex]\frac{3\cos x}{5}[/tex] is...

[Done] If the sales tax is 8.875%, find the total cost you would pay for each of the following: - A $22.50 shirt - A $6,500 car - A house for $750,000

[Done] How do I graph the parabola [tex]y = \frac{1}{32}x^2[/tex]?

[Done] Peter made two transactions today at his bank. What can the sum \(-47.27 + 598 = 550.73\) mean in terms of Peter's bank account?

[Done] Given the function: \[ f(g) = 895 + 30g \] where \( g \) represents the number of times he played golf during the year. Last year he paid $2,065 as a total golfing fee. For how many games did he pay a greens fee?

[Done] How do I factor this polynomial? \[ q^2 - 121 \]

[Done] Which shape is always a parallelogram? A. Pentagon B. Trapezoid C. Rhombus D. Triangle

[Done] Consider the polynomial function \( f(x) = (x + 1)(x - 2)(x - 3) \). (a) Find all zeros. (b) The zeros divide \(\mathbb{R}\) into several open intervals. Determine the sign of \( f(x) \) for \( x \) in each interval.

[Done] A function is created to represent the balance on a credit card each month. What restrictions would be made to the range? A) The range would only include integers. B) The range would only include positive integers. C) The range would only include negative integers. D) The range would include all real numbers. Please support your answer with an example.