Chantal wants to start the zip line 25 feet high in one tree and end it 10 feet high in the other tree. is the different in height meet the slope constraint? use specific numbers from the situation to justify or refute whether chantal's design meets the slope constraints

The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars. a(t) = 5t + 2 b(t) = 7t - 2t +4 find the expression that describes the total cost of manufacturing both products, a(t) + b(t). a. 7t^2 - 7t + 2 b. 7t^2 + 3 +6 c. 7t^2 + 7t - 6 d. 7t^2 - 3t + 6

The difference of three and the reciprocal of a number is equal to the quotient of 20 and the number. find the number.

Given that y varies directly to the square root of (x + 1), and that y = 1 when x = 8,(a)express y in terms of .x,(b)find the value of y when x = 3,(c)find the value of x when y = 5.