# Algebra Problems to finding speed

Please help with answers to the attached question/problems. I need the detail instructions as to how problems are figured out.

Section 2.2

Question 58

1/3x + 1/4 =1/6-x

Question number 72

5x = 15-2 (x + 7)

Section 2.3

Question Number 32 (Word problem)

There were 77 birds on the endanger species list in 2005. This is 7 more than 5 times the number of reptiles list. How many reptiles were on the endangered species list in 2005?

Question number 56 (Word problem)

In 2000, about 457,000 people received a master's degree, and by 2005 this number had increased to 506,000. Find the percent change in the number of master's degrees received over this time period.

Question Number 72 (Word problem)

A pilot flies a plane at a constant speed for 5 hours and 30 minutes, traveling 715 miles. Find the speed of the plane in miles per hour.

Section 2.4

Write the solution set to the inequality in interval notation.

Question 30

y >_ 1 (the top symbol is over the bottom).

Question number 60

3x >9.

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#### Solution Preview

Please see the attachment.

Section 2

Question 58

1/3x + 1/4 =1/6-x

Answer

Give equation is

That is,

That is,

That is,

That is, 16x - 24 = 18x - 3x2

That is, 3x2 - 2x - 24 = 0

=

Question number 72

5x = 15-2 (x + 7)

Answer

Given equation is, 5x = 15-2 (x + 7)

That is, 5x = 15 - 2x - 14

That is, 3x = 1

Therefore, x = 1/3

Section 2.3

Question Number 32 (Word problem)

There were 77 birds on the endanger species list in 2005. This is 7 more than 5 times the number of reptiles list. ...

#### Solution Summary

The solution provides step-by-step method for the calculation of solving algebra problems. Formula for the calculation is also included.

Algebra: Quadratic Equations and Word Problems

Apply the quadratic formula to find the roots of the given function, and then graph the function.

1. f(x) = x^2 - 4

2. g(x) = x^2 - x - 12

Factor the quadratic expression completely, and find the roots of the expression.

3. 20x^2 + 13x + 2

4. 49x^2 - 14x - 3

Complete the square, and find the roots of the quadratic equation.

5. x^2 + 16x = 0

In questions 6-10, use the discriminant to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. Note: It is not necessary to find the roots; just determine the number and types of solutions.

6. x^2 + 6x - 7 = 0

7. z^2 + z + 1 = 0

8. (3)1/2y^2 - 4y - 7(3)1/2 = 0

9. 2x^2 - 10x + 25 = 0

10. 2x2 - 6x + 5 = 0

11. Steve traveled 200 miles at a certain speed. Had he gone 10mph faster, the trip would have taken 1 hour less. Find the speed of his vehicle.

12. The Hudson River flows at a rate of 3 miles per hour. A patrol boat travels 60 miles upriver, and returns in a total time of 9 hours. What is the speed of the boat in still water?

13. A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.

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