Quadratic equations Questions and Answers

logarithms and fully simplify if possible Assume the variables represent a positive real number 30g Val log c8 O4 log a log b 8 log c O4 log a 4 log b 8 log c Olog a log b 8log c log a log b 8 log

Which of the following graphs shows the Blue line rotated 90 degrees CW around 0 2 then reflected over the x axis Select one 0 5 5 0 5

f x 4x 27z 5 Zero 5 0 7 Zero 7 0 4 4 35z Multiplicity One Two One Multiplicity One Two One Behavior Crosses axis Bounces off axis Crosses axis Behavior Crosses axis Bounces off axis Crosses axis

Find the difference quotient f a h f f x 3x 5 O 3 3h 10 h for the given function and simplify

A lender requires a minimum down payment of 14 of the value of the home You have 20 000 cash available to use as a down payment toward a home Determine the maximum home value that you can finance You can afford to finance a home worth at most Round your answer to the nearest dollar

Question 4 of 14 Step 1 of 1 Find the y intercept and x intercept of the following linear equation Answer y intercept A Enter the coordinates to plot points on the graph Any lines or curves will be drawn once all required points are plotted x intercept B Correct 7x 9y 6 10 1012 5 Enable Zoom Pan

Consider the following relation 8 2 9 4 4 8 4 3 6 3 7 0 Step 1 of 2 Determine the values in the domain and range of the relation Enter repeated values only once Enable Zoom Pan 10 Hoy 10

Dana is a cyclist When there is no wind Dans can maintain an average speed of 18 miles per hour on her daily training route When leaving her house for her daily training ride Dana encountered a steady headwind and rode for 70 minutes into the wind Dana then turned around and rode home on the same route with the wind taking only 50 minutes What was the wind speed that day Additionally what was the total distance of Dana s ride that day

Money flows at the annual rate f t 300t 1000 for T 10 years a The total money flow is Select b Assuming that the interest rate during this period is r 2 the present value of th money flow is Select c Under the same assumptions the accumulated amount for this money flow is Select

Find the sum Express your answer in standard form 5a 2a a 1 2a 5a 4 For the toolbar press ALT F10 PC or ALT FN F10 BIUS Paragraph X X e C 3 2

If a b a 2ab b then the middle term of 7x 4 2 O 56x 28x O 11x 56x 83

Below is the graph of f x x2 5 Which point is on the graph of the inverse relation O 0 5 O 5 0 O 2 1 O 1 4 27 23

A polynomial f and a factor of fare given Factor f completely f x 3x 13x 2x 8 x 4 O x 4 3x 13 2x 8 O x 4 3x 2 x 1 O x 4 3x 1 x 2 O x 4 3x 2 x 1

Find all the roots of the function f x 6x 7x 29x 12 For the toolbar press ALT F10 PC or ALTHEN F BIUS Paragraph 2 Y 62 THE A

A polynomial f and one zero of f are given Find the other zeros of f f x x 12x 21x 10 1 O 10 O 10 and 12 O1 and 12 10 and 1

4 Real World Scenario A bird starts flying away from a ree and goes exactly 6 miles south It then turns and flies exactly 3 miles east What is the shortest distance it needs to fly to return to the original tree If necessary round your answer to the nearest tenth 5 A boat leaves a port and goes exactly 5 miles north After it goes exactly 8 miles west What is the shortest distance te boat would need to travel to return to port If necessary round your answer to the nearest tenth Real World Scenario 6 A window is 48 inches by 36 inches What is the length of the diagonal of the window If necessary round your answer to the nearest tenth Real World Scenario Picture Picture Picture Mathematical Work Mathematical Work Mathematical Work

Use synthetic division x3 3x 6x 8 x 1 x2 4x 2 10 x 1 Ox 2x 8 Ox2 4x 2 x 1 O 3x 6x 8

1 Joyce Winnetka owns 150 shares of Higgenbotham Network Design stock that had a high of 49 88 and a low of 32 64 during the year The annual dividend was 1 34 What is the a total annual dividend b annual yield based on the low and c annual yield based on the high

Exit Certify Lesson 4 4b The Division Algorithm Question 2 of 12 Step 1 of 1 R Divide using the division algorithm Write your answer in the form Q B Answer 1 12 Correct where the degree of R is less than the degree of D 7x 1 x 1

step 1 of 1 9 13 Correct An investor bought 500 shares of stock some at 6 25 per share and some at 6 50 per share If the total cost was 3218 75 how many shares of each stock did the investor buy Round to two decimal places if necessary Answer How to enter your answer opens in new window Keypad Keyboard Shortcuts

Question 15 Factor the polynomial using a special factorization of 15 Step Answer 2 Points 86

Factor the polynomial using a special factorization 323 192

Question 12 of 15 Step 1 of 1 00 57 14 G Factor the given polynomial by finding the greatest common monomial factor or the negative of the greatest common monomial factor and rewrite the expression 9x y y

Graph the following equation by plotting two points Answer y 6 1 x 5 in Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and will update whenever a point is moved Enable Zoom Pan Keypad Keyboard Shortcuts 1072

Consider the following equation 25x121x 0 Step 2 of 2 Solve the given equation by factoring Write your answer in reduced fraction form if necessary Answer 2 Points Separate multiple solutions with a comma

Question 1 of 15 Step 1 of 1 Completely factor the trinomial if possible AnswerHow to enter your answer opens in new window 2 Points 15q 87q 60g Keypad Keyboard Shortcuts Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered answer is used Not Factorable

Find the domain of f x 25x 4 The domain is a E Enter your answer in interval notation

For 15 20 use s x 3x 1 and t x 2x 7 to find each 15 st x 2 pts 17 s t 3 2 pts 16 8 1 x 2 pts 18 2 2 pts

3 Find the domain of f x 3x 10 The domain is a E Enter your answer in interval notation

Correct A grocer wants to mix two kinds of nuts One kind sells for 2 20 per pound and the other sells for 2 60 per pound He wants to mix a total of 28 pounds and sell it for 2 40 per pound How many pounds of each kind should he use in the new mix Round off the answers to the nearest hundredth Answer How to enter your answer opens in new window number of pounds of nuts that sells for 2 20 Keypad Keyboard Shortcuts

The sum of two integers is 298 and the larger number is 25 more than 6 times the smaller number Find the two integers Answer How to enter your answer opens in new window

A square is 5 inches on each side A small square x inches on each side is cut out from each corner of the original square Represent the area of the remaining portion of the square in the form of a polynomial function A x Answer X 1x XI XI Keypad Keyboard Shortcuts

Let g be a polynomial function of a where g x 2x 5x 28x15 If x 3 is a factor of g write an equation for g as the product of linear factors

Question 5 of 10 Step 1 of 1 Answer How to enter your answer opens in new window Ling invested some money at 9 interest Ling also invested 66 more than 2 times that amount at 7 How much is invested at each rate if Ling receives 834 00 in interest after one year Round to two decimal places if necessary GA Correct 2 amount invested at 9 Keypad Keyboard Shortcuts

Determine the number of solutions for the following system of linear equations If there is only one solution find the solution Answer How to enter your answer opens in new window Keyboar Selecting an option will enable input for any required text boxes If the selected option does not have any associated text boxes then no further input is required No Solution x 4y 2z 5 4x 5y 5z 3 6x 2y 5z 2 Only One Solution x y z

If QS is a diameter and PO is a chord of the circle at right find the measure of the geometric parts listed below P a m QSO b m QPO c mZONS d mPS e mPQ f m PQN Q N 63 O 80 S

A 100ft length of still chain weighing 161 b f t is dangling from a pulley How much work is required to wind the chain onto the pulley

Write the equation is standard form for the circle passing through 1 4 centered at the origin

Question 2 Write the system of equations that corresponds to the augmented matrix Use z y and z for the variables 1 3 5 17 1 6 2 29 2 5 4 37 Equation for row 1 Equation for row 2 Equation for row 3

4 3 1 5 7 2 1 R3 R 0 0 5 2 3 7 6 8 87 2 4 7 2 3 3R R 5 6 3 8 82 2 5 27 3 6 0 5 4 2R3 R1 R 9 9 6

The two parallel lines are cut by the transversal shown Determine the measures of 41 through 47 What is m41 m41 What is m42 O Simplify your answer m42 Simplify your answer What is m43 4 3

1 Solve the following a if m27 100 find m23 b if m1 120 find m25 c if m23 140 find m25 d if m24 40 find m2 Solve the following 80

D 12x 8 10x 10

1 Determine the value of r accurate to one decimal place P q 12 mm 25 p 8 mm R In SUN S 6 8 cm n 9 3 cm and SUN 32 6 Find the value of u

3 Solve the following a X y 4x 5 3y 1 3x 11

Find the variance of the data 147 141 120 124 128 x 132 Variance Variance

Find the standard deviation o of the data 97 122 143 155 138 x 131 Variance 401 2 Round to the nearest tenth Standard Deviation 0

The difference between the measures of two supplementary angles is 46 Determine the measures of the two angles The larger angle has a measure of The smaller angle has a measure of O

Find the standard deviation o of the data 16 31 38 24 36 X 29 Variance 65 6 o Round to the nearest tenth Standard Deviation Enter

Question 1 Solve each inequality log2 x 6 log2 17 O x11 x 6 O no solution O x x 6 O x 11 x 4