Questions in mathematics

Questions in mathematics

[Done] Identify the turning point of the function [tex]f(x) = x^2 - 2x + 8[/tex] by writing its equation in vertex form. Show your work.

[Done] Write the equations and solve for the values of \( x \) and \( y \): 1. \( 7x + 3y = 22 \) 2. \( 4y = 20 \)

[Done] How can [tex]b^2 + 9b + 14[/tex] be re-written? 1) \((b + 7)(b - 7)\) 2) \((b - 7)(b - 2)\) 3) \((b + 7)(b - 2)\) 4) \((b + 7)(b + 2)\)

[Done] Jonathan has been on a diet since January 2013. So far, he has been losing weight at a steady rate. Based on monthly weigh-ins, his weight, \( w \), can be modeled by the function \( w = -3m + 205 \) where \( m \) is the number of months after January 2013. a) How much did Jonathan weigh at the start of the diet? b) How much weight has Jonathan been losing each month? c) How many months did it take Jonathan to lose 45 pounds?

[Done] A bottle rocket made in science class had a trajectory path that followed the quadratic equation [tex]y = -x^2 + 4x + 6[/tex]. What is the turning point of the rocket's path? 1) (1, 5) 2) (2, 10) 3) (-2, -10) 4) (1, -5)

[Done] What are two numbers that, when multiplied together, give 360 and when added together, give -96?

[Done] How do you write an equation and solve it for the following problem? One fifth of the employees of Delta Industries, Inc., work in the Southeastern region. If the company employs 252 workers in that region, what is the total number of employees working for the company? (Note: You can solve this problem using a basic calculator.)

[Done] A certain test is worth 155 points. How many points (rounded to the nearest point) are needed to obtain a score of 65%?

[Done] What is perpendicular to [tex]y = 3x - 9[/tex] and passes through the point (3, 1)?

[Done] What percentage of 1457 is 898?