Ashford MAT 126 (Survey of Mathimatical Methods) Week 3 DQ & Quiz A+ Graded

Ashford MAT 126 Week 3

Ashford MAT 126 Week 3 DQ 1

This Discussion will concentrate on functions and graphs. Understanding the definitions of words is the essence of mathematics. When we understand the meaning of words, finding a solution is much easier because we know what task the problem is asking us to complete.
 
Part 1

1. In your own words, define the word “function.”
2. Give your own example of a function using a set of at least 4 ordered pairs. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and 5. Your example should not be the same as those of other students or the textbook. There are thousands of possible examples.
3. Explain why your example models a function. This is extremely important for your learning.
4. Give your own example of at least four ordered pairs that does not model a function. The domain will be any four integers between 0 and +10. The range will be any four integers between -12 and +5.  Your example should not be the same as those of other students or the textbook. There are thousands of possible examples.
5. Explain why your example does not model a function.

This Discussion tests your ability to use a ruler and convert from Standard English measure to Metrics. You will then apply your knowledge of the geometric measurements of area and volume through real world problems.

1. Choose a room in your house. Measure the length, the width, and the height. Make sure you use feet and inches. Most rooms are not a whole number, such as 10 feet; they are 10 feet and 3 inches, or 9 feet 6 inches, etc.
   NOTE: Do not use decimal numbers for the feet. For example, do not write 10.3 to mean 10’3”, because that is incorrect. Convert the measurements to all inches for step 2, and then convert back to square feet for step 3.
2. Record your dimensions and, using the appropriate formula, find the surface area of the room.
3. A gallon of paint covers about 350 square feet. How many gallons would be required to paint the room? Round up to the nearest gallon.
4. If a gallon of paint costs $22.95 plus 8% tax, what would be the total cost to paint the room?
5. One inch is equivalent to 2.54 centimeters. Convert your English measurements to metrics. Record each dimension in centimeters. Show your conversions.
6. Find the volume in cubic centimeters. Be neat and precise.
7. If each dimension (length, width, and height) is doubled, what happens to the volume of the room?  Show your work.
8. Respond to at least two of your classmates’ postings. Review their calculations and determine if their results seem reasonable for the size of the room.

Ashford MAT 126 Week 3 Quiz 20 MCQ’s

·          Find the circumference and area of the circle if d = 30. Use p = 3.14.

·          Find the vertex of the parabola.

·          Find the domain and range of the relation, and state whether or not the relation is a function.
{(3, 9), (3, 10), (3, 11), (3, 12)}

·          The difference between the ages of two friends is 2 years. The sum of their ages is 74 years. Find the age of the older friend.

·          The triangles in the figure below are similar. Use the proportional property of similar triangles to find the measure of x.
Find the coordinates of the x-intercept.
-x + 5y = -15

·          Write the equation in the slope-intercept form.
4x - 10y = 11

·          Adult tickets for a play cost $19 and child tickets cost $17. If there were 36 people at a performance and the theatre collected $646 from ticket sales, how many children attended the play?

·          Determine whether or not the network is traversable.

·          Identify angles 6 and 7 as alternate interior, alternate exterior, corresponding, or vertical.
Find the domain and range of the relation, and state whether or not the relation is a function.
{(1, 4), (1, 5), (1, 6), (1, 7)}

·          Classify the angle as acute, right, obtuse, or straight.

·          In triangle ABC, angle C is a right angle. Find the measure of angle B if side b = 105 m and side c = 139 m.

·          A tree which is 93 feet tall casts a shadow of 26 feet. Find the angle of elevation of the sun.

·          Find the coordinates of the x-intercept.
2x + y = -6

·          Determine whether or not the network is traversable.

·          Find the slope of the line passing through the points (0, -4) and (-6, 7).

·          Find the domain and range of the relation, and state whether or not the relation is a function.
{(7, 2), (8, 2), (9, 2), (10, 2)}

Find the vertex of the parabola.
y = -2x² + 12x - 13