Questions in mathematics

Questions in mathematics

[Done] What is \( x^2 - 14x + 49 \)?

[Done] The graph of [tex]y = 4x - 11[/tex] is translated up 8 units. Which equation represents the translated graph?

[Done] A group consisted of 2 girls for every boy. Then, 24 more girls joined the class, resulting in 5 girls for every boy. How many students are in the class now?

[Done] Type the missing numbers in this sequence: 55, 47, 39, ___, 23, 15 What are the missing numbers?

[Done] Find \( r \) if \[ 2700 = 2200(1+r)^5 \] (Note: \( ^5 \) is the exponent for 5)

[Done] The difference between two positive integers is 40. One integer is three times as great as the other. Find the integers.

[Done] Given the function \( g(x) = x^2 + 6x + 4 \), find the minimum value of \( g(x) \).

[Done] If a standard drinking straw is 19.5 cm long and has a diameter of 0.6 cm, how many square centimeters of plastic are used in one straw?

[Done] What is the value of [tex]\log_2 8[/tex]?

[Done] Verify the following equation: \[ \frac{2\cos2x}{\sin2x} - \cot x - \tan x = -2\tan x \]