Lucy bought supplies for a lemonade stand for $10. She sells cups of lemonade for $0.25 each. Let P denote the name of the function and let P (2) represent the profit, in dollars, of the lemonade stand based on a cups sold. Which shows the correct function notation for this function?
А
P(2) = 0.25x – 10
B
P=0.25.2 - 10
С
P(x) = 0.25P - 10
D
2 = 0.25P - 10

The triangles are similar. what is the value of x? show your work.

In δabc, m∠acb = 90°, cd ⊥ ab and m∠acd = 45°. find: a find cd, if bc = 3 in

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (–4, 0) and (6, 0). the y-intercept of the first parabola is (0, –12). the y-intercept of the second parabola is (0, –24). what is the positive difference between the a values for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth