Confirm that f and g are inverses by showing that f(g(x))=x and g(f(x))=x.f(x)=x-8/x+7 and g(x)=-7x-8/x-1

At a grocery store, the price of 3 cans of soup is $6.90. at this rate, how much would 10 cans of soup cost

At an amusement park, the probability that a child eats a hot dog and drinks a soda pop is 0.48. The probability that a child eats a hot dog is 0.59, and the probability that a child drinks soda pop is 0.88. What is the probability (rounded to the nearest hundredth) that a child drinks soda pop given that the child has already eaten a hot dog?0.55
0.81
0.28
0.42

You plan to study at least 1.5 hours for a geography test. Write an inequality that represents this situation.

Write an equation in point-slope form, y – y1 = m(x – x1), of the line through points (9, –2) and (10, 2). Use (9, –2) as the point (x1, y1).

Calculate the length of AD in the triangle-based pyramid below.Give your answer to 2 d.p.
(Not drawn accurately)

A segment of a circle has 120 degree arc and a cord of 8 square root 3 in. Find the area of the segment