The volume in cubic feet of a box can be expressed as V(x) = x 3 − 6x 2 + 8x, or as the product of three linear factors with integer coefficients. The width of the box is 2 – x. a. Factor the polynomial to find linear expressions for the height and the width. b. Graph the function. Find the x-intercepts.
Find the next three terms in each geometric sequence. 5. 10, 20, 40, 80, … SOLUTION: eSolutions Manual - Powered by Cognero Page 1 7-7 Geometric Sequences as Exponential Functions Since the ratios are constant, the sequence is geometric. The common ratio is –1. Find the next three terms in each geometric sequence.
Pick any three problems and find the difference. a. x2 –144 b. 64x2 –81 c. 36x2 –49y2 d. x4 –1 e. 81x4 –1 4. Factor a perfect square trinomial. Pick any two problems and factor each perfect square trinomial.
Solve using the multiplication principle first. Then use the elimination method. 2x+y=13 4x+2y=23 8. Solve by rearranging the equations first. Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 9.
c. Will the truck hold 51 refrigerators and 176 TVs? For the first part, I will write an inequality to describe this region. We need to find the slope: m=y1-y2=330-0/0-110=-330/110=-3 x1-x2 The slope is 3/1 or -3y-y1=p(x-x1) I will use the point-slope form. y-330=-3/1(x-0) then I will substitute the point (0,330) y=-3x/1+330 we then add 300 to both sides -3x/1+330=y expression switched by placing the y on the right hand side -3x/-3=y/-3-330/-3 We divide each equation by -3 and cancel out the like terms -3y=1x+110 -3y+1x<110 For the second part, ‘will the truck hold 71 refrigerators and 119 TVs? In other words, the point (71,118) in the solution region.
2^13-2= 8190 9. Given 3 bits of mask for the host portion, how many host addresses are available? 2^3-2= 6 10. Given 8 bits of mask for the network portion, how many subnets are available? 2^8= 256 11.
In this case, there were 4 data points, so after adding them together, you must then divide by the number 4. In finding the standard deviation, it is easiest to follow the formula: SD^2=∑(X-M)^2 N-1 In this equation, each variable indicated a particular value. SD^2= Variance X= Each Score M= Mean ∑= Sum of Squared Deviation Scores In order to solve the equation, you must have the mean, and sum
{ b = 2 + a } b) Multiplies b by 4 and stores the result in a. { a = b * 4} c) Divides a by 3.14 and stores the result in b. { b = a MOD 3.14 } d) Subtracts 8 from b and stores the result in a { a = 8 – b } 4. Assume the variables result, w, x, y and z are all integers, and that w=5, x=4, y=8 and z=2. What value will be stored in result in each of the following statements?
Then divide each term by GCF to determine what is left inside the parentheses.) Example 2: 18x2y3z5 - 24x5y2z + 30x3y4z2 Solution: 6x2y2z(3yz4 - 4x3 + 5xy2z) 2. Look to see if it is a difference between two perfect squares. (need 4
Measures of Central Tendency & Frequency Distribution Tables QNT 321/ Introduction to Business Statistics Appendix J of Statistical Techniques in Business and Economics consisted of a Real Estate dataset, which included: selling prices, number of bedrooms, size of the homes in square feet, pool, distance from the center of the city, township, garage attached, and number of bathrooms. In addition to calculating the measures of tendency for selling price (x1), number of bedrooms (x2), size of home in square feet (x3), distance from the center of the city in miles (x5), and number of bathrooms (x8), the data was analyzed to create 5 and 7 class frequency distribution tables for each. From what was gathered, the mean selling price