4. Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum
height of 9m above the water. What height will Henry be after 5 seconds?

Determine possible value(s) of k such that h = kx² + 4x + 5 has only one x-intercept. Show all work
clearly. Guess and check is not an acceptable method.

6. Goodlife charges its members $30 per month for a gym membership. They currently have 75 clients.
Research has shown that for every $2 increase in their membership price they will lose 3 clients. If they
want to maximize their revenue, how much should Goodlife charge per membership? What will their
maximized revenue be? (Include Let Statements in your solution).

Astore experienced a 14.2% fall in takings in february, compared to the previous month. their takings in february were ? 742,513.20 how much did they take in january?

Part a what is the area of triangle i? show your calculation. part b triangles i and ii are congruent (of the same size and shape). what is the total area of triangles i and ii? show your calculation. part c what is the area of rectangle i? show your calculation. part d what is the area of rectangle ii? show your calculation. part e rectangles i and iii have the same size and shape. what is the total area of rectangles i and iii? show your calculation. part f what is the total area of all the rectangles? show your calculation. part g what areas do you need to know to find the surface area of the prism? part h what is the surface area of the prism? show your calculation. part i read this statement: “if you multiply the area of one rectangle in the figure by 3, you’ll get the total area of the rectangles.” is this statement true or false? why? part j read this statement: “if you multiply the area of one triangle in the figure by 2, you’ll get the total area of the triangles.” is this statement true or false? why?

The graph shows the function f(x) = (2.5)x was horizontally translated left by a value of h to get the function g(x) = (2.5)x–h.