Math - Others Questions

Next Problem LIST 1 point Use the quadratic formula to solve the quadratic equation 2x 3x6 0 Solutions separate by commas x

10 10 1 0 18 The graph of a quadratic function f x is shown above It has a vertex at 3 1 and passes the point 0 8 Find the quadratic function f x

Next Problem 1 point Suppose y 2x 16x 34 In each part below if there is more than one correct answer enter your answers as a comma separated list If there are no correct answers enter NONE a Find the y intercept s y b Find the x intercept s X help numbers

Previous Problem Next Problem Problem List 1 point The function f x x 11x 28 has a enter maximum or minimum value

Next Problem 1 point An equation of a line through 3 6 which is parallel to the line y 3x 2 has slope 3 and y intercept at 12

A C 10 At least one of the answers above is NOT correct 1 point Attention you are allowed to submit your answer two times only for this problem 10 1 0 B A 1 0 C 10 h x x 3 10 Identify the graphs A blue B red and C green B is the graph of the function f x x 5 A g x x 5 C is the graph of the function is the graph of the function

1 point Use the given graph of the function f to find the following values for f 1 4 2 f 3 3 f 0 4 f 2 5 f 4 4 1 0 8 1 0 Note You can click on the graph to enlarge the 8

1 point 8 6 4 2 Domain of f x Lok 8 6 4 2 2 4 6 8 Y 2 4 6 The graph of f x is given above Determine the domain and range of f 1 x using interval notation 8 x

Next Problem 1 point Write an equation for the line through the point 5 4 with slope 7 in point slope form y yo m x xo y formulas help

Next Problem 1 point Consider the function X f x 8x 5 a Find the inverse function for f x b The domain of fis x x 5 8 c The domain of f 1 8 is x x d The range of fis y y 1 8 d The range of f is y y 5 8

Previous Problem Next Problem Problem List 1 point Let f x 5x 15x Answer the following questions 1 Find the intercepts of the parabola Intercepts separate with commas x 2 Find the vertex of the parabola Write the vertex as a point a b where a and b are numbers Vertex

14 Use the table below to answer the following questions t h t 0 1 2 3 4 5 6 6 0 1 7 2 3 5 a Find h 6 b Solve h t c Find h 5 d alua h 1 0 7 89 8 49

Entered 0 75 1 point Let Answer Preview The answer above is NOT correct 4 3 4 f x x 1 x 8 Resul incorre

Consider the graphs below Determine if the function in the graph is one to one A The function is one to one B The function is not one to one Determine if the function in the graph is one to one A The function is one to one B The function is not one to one

1 point Let f x g x f and and their respective domains 9 1 f g sqrt 1 x sqrt 4 x 4 x 2 What is the domain of f g Answer in interval notation 4 1 7 1 x and 16 x Find f g 9 9 3 f g 4 What is the domain of f g Answer in interval notation 4 1 f 9 5 f g 6 What is the domain of f g Answer in interval notation 4 1 1 11 f 8 What is the domain of 9 Answer in interval notation

1 point Suppose you are given a rectangular piece of cardboard having length 6x 2 inches and width 2x 4 inches Then you cut out a square from this piece of cardboard having side length x inches Find the area of the remaining piece of cardboard expressed in terms of x Answer

1 point Suppose that f x 4x4 and g x 7x 3 For each function h given below find a formula for h x and the domain of h Enter the domains using interval notation A h x g x O h x Domain B h x gof x h x Domain C h x x h x Domain D h x g g x h x

1 point Use the table of values for the functions p x and g x below to complete the tables for the composite functions defined in parts a and b a Complete the table of values for the composite function r x p q x at x 0 1 2 3 4 5 X r x O X 0 s x X 012345 p x 150342 q x 524310 0 1 10 b Complete the table of values for the composite function s x q p x at x 0 1 2 3 4 5 2 1 3 2 4 3 4 LO 5 5

1 point This problem tests calculating new functions from old ones From the table below calculate the quantities asked for X 0 1 2 5 f x 1 4 5 104 g x 1 4 1 74 f g 0 g f 0 2 g 2 5 2 1 25

REQUIRED RATE OF RETURN Pe 12 0 8 0 4 0 0 0 5 CAPM Elements Risk free rate TRF Market risk premium RPM Happy Corp stock s beta I 1 0 RISK Beta Return on HC s Stock 1 5 Value 2 0

im has chosen the car he wants and must now decide whether to buy or lease it The car has an MSRP of 21 977 and a residual factor of 34 Jim negotiates a 500 discount and must pay the ollowing additional costs 660 freight charge 100 tire air tax 75 gas tax 85 administration fee 74 licence plate fee 20 gas fee Regardless of whether Jim buys or leases the car the financing is 6 9 compounded monthly fo 8 months If Jim buys the car the finance fee is 54 If he leases the car the finance fee is 36 Term of Lease MSRP Gross Capital Cost Trade in Allowance Down Payment Total Capital Reduction Net Capital Cost Residual Factor Residual Value Depreciation Base Monthly Payment Monthly HST 13 Lease Quote Monthly Payment Interest Rate 1st Payment HST on Down Payment 13 1st Year Fees Other Fees HST on Upfront 13 Security Deposit Total Initial Payment

4 3 La 1 A 4 3 2 1 27 12 3 4 4 32 2 1 1 2 3 4 4 3 2 11 11 1 1 4 4 q a r 1 2 cos 0 b r 1 2 sin 0 c r 3 cos 30 d r 3 cos 20 e r 3 sin 20

annually Unless otherwise indicated assume monthly payments are made Unless otherwise indicated assume the interest rate remains constant during the amortization period ur answers can be entered directly on this assignment but please hand in all rough work as ell Most lending institutions allow mortgage payments to be made monthly bi monthly twice a month or weekly Most even allow accelerated weekly mortgage payments With this option the weekly payment is calculated as a monthly payment divided by 4 1 a Complete this table for the mortgage defined above The equivalent interest rate interest for each compounding period has been calculated for you as discussed in section 6 4 in your text The Interest saved is the difference between the Total intere paid for monthly compounding and the Total interest paid for the compounding perio being calculated Payment Equivalent Number Total Frequency Interest rate Monthly 3 957 Bi monthly 3 954 Weekly 3 952 Accelerated 3 952 weekly payments number per year payments 1137 Payment Total amount paid Total interest paid Interest saved 0

Solve the right triangle with B 49 9 and c 22 9 Round off the results according to the table Measurements of Angle to Nearest Accuracy of Trigonometric Function 0 19 0 01 2 significant digits 3 significant digits 4 significant digts Select the correct answer below and if necessary fill in the answer boxes to complete your choice OA A a OB There is not enough information to solve the triangle CIC Do

Problem 5 Let 0 1 For each of the following prove that the result holds for all sets X Y Z CE or provide a counterexample to disprove a XUY X UY b XnY X ny c X Y U Z XY U XZ

Write a polar equation for the graph below Enter theta for 0 if needed 3 2 1 5 4 3 2 1 r 0 1 2 3 Question Help 1 2 3 4 5 Video

Convert the Cartesian coordinate 2 6 to polar coordinates 0 0 2 r Enter exact value 0 in radian round to at least one decimal place Question Help Video 1 Video 2 Submit Question

In the following matrix how many columns are linear combinations of the columns preceding it 3 3 1 1 3 2 That is for how many i is column i a linear combination of columns 1 through i 1 0 01 O 2 0 3 4 A 0 2 1 0 2 2 0 2 1 3

Convert the Cartesian coordinate 6 2 to polar coordinates 0 0 2 r Enter exact value in radian round to at least one decimal place Question Help Video 1 Video 2 Submit Question

The hourly wages of a sample of 35 employees of a textile company are summarized in the table below Number of employees Hourly wage in dollars 3 A 13 10 6 00 8 00 9 75 11 00 Find the mean hourly wage of these 35 employees Round your answer to at least two decimal places

4 3 2 3 8 1 3 4 2 3 4 q Which of the following is the equation for the graph shown above Or 3 cos 20 T 1 2 cos 0 r 3 sin 20 Or 3 cos 30 Or 1 2 sin 0 Submit uestio

E PI 5 O r 1 3 cos 30 r 0 sin 0 CT r Hr 5 sin 0 2 a b a a

7 There are many cylinders with volume 452 cm Let r represent the radius of these cylinders and h represent the height This means the formula of the volume V in cubic centimeters of these cylinders is V Tr h and the equation for the surface area in square centimeters is S 2 r 2 rh Write an equation for S as a function of r when the volume of the cylinder is 452 cm

5 Find all values of that make the equation true 2x 1 x 1 x 2

Write a polar equation for the graph below Enter theta for if needed 6 3 r 0 2 6 E 4 3 2 1 2 3 4 Question Help Video

Use the addition table to answer part a through d Click the icon to view the addition table Write a rule for finding such sums almost at a glance Choose the correct answer below A Sum upper right entry 4 B Sum 4x upper right entry OC Sum upper left entry x lower right entry OD Sum upper right entry 4 E Sum 2x upper right entry b Find the sum of the entries in these squares of entries from the table 0 1 1 2 2 3 3 4 Sum 18 10 11 12 11 12 13 12 13 14 OA Sum upper left entry x lower right entry OB Sum upper right entry 2 3 C Sum 9 x upper right entry D Sum 4x upper right entry OE Sum upper right entry 9 Sum 108 c Write a clear and simple rule for computing these sums Choose the correct answer below 13 14 15 Sun

Given the triangle to 4 decimal places 19 33 Question Help Video Submit Question 27 x find the length of side z using the Law of Cosines Round your final answer 1

Given the triangle 39 Area 25 Question Help Video Submit Question 29 find the area of the triangle Round your final answer to 4 decimal places units

2 The price of breakfast cereals rise the demand for milk will increases decreases Which determinant causes this change Which way will the demand curve shift Left or right Draw the new demand curve P D

1 The government decides to implement quotas on importing t shirts The supply will increase decrease Which determinant causes this change Which way will the supply curve shift Left or right Draw the new supply curve P

Given the triangle drawn to scale A 16 Submit Question A 12 9 find the measure of angle A using the Law of Cosines Picture is not Q degrees Give your answer accurate to at least one decimal place Question Help Video

Homework HW A One must always move upward or to the right on the grid shown below how many paths are there from A to B B Question 8 1 3 15 How many paths are there from A

a Is T linear If so find the standard matrix of T 12 2 2x1 3x2 4x1 5x Define T R2 R by T b Compute T 2 1

Use the following magic multiplication square to answer the following parts a c 8 4 128 256 2 16 64 1 32 a Verify that the three numbers in every row column and diagonal in the following square have the same product The product for each row is 4096 The product for each column is 4096 The product along both diagonals is 4096 b Write each number in the magic multiplication square as a power of 2 and then explain how the multiplication square can be obtained from a related magic addition square Select the correct choice below and if nece box that completes your choice A After rewriting the numbers using the same base 2 the sum of the bases for each row column and diagonal is B After rewriting the numbers using the same base 2 the sum of the exponents for each row column and diagonal is 12 C After rewriting the numbers using the same base 2 The numbers can be rearranged to form the same sum for each row column and diagonal That sum is c Create a magic multiplication table with the numbers 1 3 9 27 81 243 729 2187 and 6561 Three numbers have been entered as shown on the right Fill in the rest of the magic multiplication square 243 Points 0 3 of 1 9

Letitia Brianne and Jake met at the mall on December 31 Letitia said that she intends to come to the mall every third day throughout the next year Brianne said that she intends to be there every fourth day and Jake said that he would be there every seventh day Letitia said that she knew she would be at the mall a total of 121 days since 365 3 is 121 with a remainder of 2 Brianne said that she d be at the mall 91 days since 365 4 is 91 with a remainder of 1 Moreover Brianne said that of those 91 days she would expect to see Letitia 30 times since they will both be coming every 12 days and 365 12 is 30 with a remainder of 5 Complete parts a through d below a How many days will all three friends meet at the mall in the next year There will be 4 day s when all three meet b Use reasoning similar to that of Letitia and Brianne to construct a three loop Venn diagram that shows the number of times the three friends go to the mall in all of the possible combinations O A B OC OD L 78 157 13 J 26 4 26 9 52 B 121 365 30 91 1760 J 52 13 B L B 3 12 4 39 84 21 28 7 206 82 365 12 21 28 30 56 B

2 Define T R2 R by T a Is T linear If so find the standard 2 43 matrix of T 2x1 3x2 4x1 5x2 X2

The graph of f x and g x is given below Use the graph to find f g 0 and g f 3 f x 5 4 3 2 41 f g 0 Soek g f 3 V 4 3 2 1 2 3 4 5 g x 1 2 3 4 X

Definition A complex fraction is a fraction where the numerator denominator or both contain a fraction Simplifying complex rational expressions Method 1 Division Method Step 1 Rewrite the complex fraction as a division use parentheses top expression bottom expression Step 2 Perform addition subtraction to combine the expressions in each group into a single rational expression using the LCD if necessary Step 3 Perform division Step 4 Simplify Method 2 Multiplying the LCD Step 1 Find the least common denominator of both the top and the bottom together Step 2 Multiply each term by the LCD and simplify Step 3 Simplify the resultant rational expression 5 Simplify Method 1 Method 2 Example 2 x 1 X 1 X 2 1 1 3 2 1 1 2 x 1 1 x 1 2x 2 x 1 x 1 2x 2 1 x 1 2x 3 x 1 2 x 1 X 2x 3 LCD x 1 x 1 x 1 2 x 1 x 1 x 1 X 1 Cross cancel x 1 2x 2 1 x 2x 3 x

3 Find the limit lim A 6 B 30 C 1 D x 3 x 2x 9x 18 x 3

6 Simplify x 1 1 x 1 by multiplying the LCD