There is 3 algebra 2 questions. I would greatly appreciate any help on any of the questions you might be able to help with. Thank you

Question

List the steps that should be used to solve the equation f(x)= g(x) by graphing when f(x)= (1 / 2) ^x -3 and g(x)=3x+5

Based on a poll of 1000 residents, a newspaper article claims that 62% of the residents in town favor the development of a recreational park on the west side of town. A community action group interested in preserving the environment claims that 45% of the town’s residents favor the development of a recreational park. To determine whether the sample supports the population proportion, a simulation of 100 trials is run, each with a sample of 200, using the point estimate of the population. The minimum sample proportion from the simulation is 0.46 and the maximum sample proportion is 0.76. (a) What is the point estimate of the population? (b) The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? (c) The margin of error of the population proportion is found using the half the range. What is the interval estimate of the true population proportion? (d) Is the community action group’s claim likely based on either interval estimate of the true population proportion? Explain.

The center of a Ferris wheel is 55 feet above the ground. The Ferris wheel completes one revolution every 40 seconds. The distance between the lowest and highest points of the Ferris wheel is 100 feet. A trigonometric function models the height of the seat that starts closest to the ground when the wheel begins moving. (a) What is the period of the function? (b) What is the amplitude of the function? (c) What is the midline of the function? (d) Sketch the first two periods of the graph of the function. Plot and label the key points of the graph. Label each axis with an appropriate scale.

Answer 1

The first part of the question can be solved by using a graphing calculator. The intersection point of the two functions is where they are equal.