[answered] 1) Solve the equation using the methods discussed in Chapte

I need these problems done by math expert. only. i will tip 45\$? as done.?

1) Solve the equation using the methods discussed in Chapter 2 of our text. If the equation

6( x 2) 10 4 x 10 2) Solve the equation using the methods discussed in Chapter 2 of our text. If the equation

3 x 2 x 5 x?4

? =

2

3

6 3) The pitch P of a musical tone varies inversely as its wavelength W. One tone has a pitch of

330 vibrations per second and a wavelength of 3.2 feet. Find the wavelength of another tone that

has a pitch of 550 vibrations per second. 4) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer

in interval notation and graph the solution set on a number line. (5 pts) 5x 7 8x 5 5) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer

in interval notation and graph the solution set on a number line. (5 pts) 1

1

3

x 1 x 4

5

5 6) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer

in interval notation and graph the solution set on a number line. (5 pts) 12 4 x 4 2 7) Solve the inequality using the methods discussed in Chapter 2 of our text. Write your answer

in interval notation and graph the solution set on a number line. (5 pts) 5 3 4 x 11 8) The average life expectancy for an elephant is 24 years longer than the life expectancy for a

chimpanzee. If the total of these life expectancies is 130 years, find the life expectancy of each

animal. Show all work. (5 pts) 9) Alpha phone company charges a monthly access fee of \$58 plus an additional \$0.03 per

minute fee on the total minutes used each month. What is the maximum number of minutes of

usage a customer can have to keep their monthly bill under \$100? Show all work. (5 pts) 10) In 2008 there were approximately 314,000 hybrid vehicles sold in theUnited States. In

2012, there were approximately 434,000 hybrid cars sold. Let y be the number of hybrid cars

sold in the year x, where x = 0 represents the year 2008.

a) Write a linear equation that models the growth in number of hybrid vehicles sold in the US in

terms of the year x. (3 pts) b) Use this equation to predict the number of hybrid vehicles sold in the US in the year 2020.

(1 pt) c) Explain what the slope of this line means in the context of the problem. (1 pt) 11) Given the linear equation: 2 x 5 y 20 : a) Find both intercepts of the equation. Show all work and state intercepts as ordered pairs.

(4 pts)

x-intercept = y-intercept = b) Use the intercepts to find the slope of the line. Show all work. (1 pt) 12) Given the following two linear equations, determine whether the lines are parallel,

perpendicular, or neither. Show the work that leads to your conclusion. (5 pts) 2 x 5 y 20

5 x 6 2 y 13) Write an equation of a line through the point (3, -4) that is parallel to the x-axis. Graph the

line on the grid below or create your own graph. State the slope of the line. (5 pts) 8

7

6

5

4

3

2

1

-7 -6 -5 -4 -3 -2 -1

-1

-2

-3

-4

-5

-6

-7 y x 1 2 3 4 5 6 7 8 14) Given the linear equation: x 3 y 4 , answer the following questions, showing all work: a) Find the slope of a line perpendicular to the given line. (2 pts) b) Write an equation in slope-intercept form of the line perpendicular to the given line through

the point (-3, 4). (2 pts) d) Convert the equation found in part (b) to standard form. (1 pt) 15) The formula for the area of a Trapezoid is given by 1

A= h ( a+ b )

2 where A is the total area, h is the height of the trapezoid and a and b are the lengths of the bases. Solve the equation

for the base b. (5 pts)

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