Quadratic equations Questions and Answers

At 100 1 12 You have placed some money into an account and it is modeled by this equation Based on the information in this equations how much money was you initial deposit 100 120 346 78 12 125 1250 10 1200

1 Determine the number of solutions of the equation in the complex number system 52 2x 0 52 2x 0 has degree 4 so there are four solutions in the complex number system 52 2x 0 has degree 2 so there are two solutions in the complex number system 52 2x 0 has degree 0 so there are no solutions in the complex number system 52 2x 0 has degree 4 so there are no solutions in the complex number system 52 2x 0 has degree 1 so there are four solutions in the complex number system

3 Solve the equation Write complex solutions in standard form 16 x 1 0 x 5 5 x 5 3 x 5 3 x 5 3 x 5 3

No calculator Which of the ordered pairs below represents a solution to the system of equations shown elow 1 6 2 8 3 10 4 12 y 2x 4 3x 2y 22 3x 2 2x 4 22 3x 4x 8 22 7x 8 22 7x 14

2x3 x x 1 5 2 Match the Graphs to Their Equations You ll have 4 pairs of cards f x 2x x x 1 f x 2x x x 1 f x 2x x2 x 1

blem 2 Complete the missing key features and graph the polynomial TT VE S Function in factored form Function in standard form End Behavior As x co f x TT VE 10 As xo f x 10 5 0 Roots include multiplicity 2 1 multiplicity 2 Value of Leading Coefficient 2 Degree 3

f x 2x 6x 5x 1 f x 2x 6x 5x 3 x3 2x 1 Match the Graphs to Their Equations You ll have 4 pairs of cards f x x4 5x 5

Find the value of n such that each expression is a perfect square trinomial 1 x 14x n 3 x 4x n 2 2 x 2x n 4 x 2x n Solve each equation by completing the square If necessary round to the nearest hundredth 5 x 4x 5 7 x 6x 10 9 x 3x 18 I 6 x x 2 0 8 x 4x 4 0 10 x 8x 4 0

7 Evaluate at x 4 g x 53 1 3e 4x none of these 8 12 3 34 1 6 63 11

6 Evaluate 2e 11 O 18 05 O O 625 O 2 2 2216

A radioactive isotope decays exponentially If the half life is 4 2 thousand years and the current mass is 1625 ounces what will the mass be 13 thousand years from now 0256 ounces 652 23 ounces 219 39 ounces 66 896 ounces none of these

Make a table of values for the function f x 3 x 1 X y Select V Select Select Select Select Select V

1 You open a saving account by depositing 11 250 into an account earning 4 75 If this account is compounded quarterly how much would you have in the account after 35 years Type a response

2 Which of the answer choices below makes both equations in the system tru a 3 1 b 0 2 c 1 2 d 2 4 x y 2 3x 4y 5 3x 4y C

What is the result of adding these two equations 2x 7y 4 2x 8y 2

What is the result of subtracting the second equation from the first 4x 2y 2 x 2y 9 TE

1 What is the solution to the syst equations below 3x y 2 2x 2y 12 A 1 5 B 6 0 C 2 4 D 3 3

6 Challenge what is the value for x in the system of equations below 3y 2x 8 4x 2y 16 A 1 B 2 C 3 D 4

3 What is the solution to the system of equations below x y 4 2y x 4 A 6 2 B 4 0 C 2 2 D 8 4

4 Which ordered pair represents the intersection point of the system of equations shown below a 2 3 y 2x 4 3y 2x 20 b 6 8 c 2 8 d no solution

What is the result of adding these two equations 2x 3y 5 5x y 12

What is the result of subtracting the second equation from the first 2x 7y 10 3x 7y 2

freychuk 1 Graph y 2x 1 Use x values 2 1 0 3

Find the vertex and at least 2 more points using the table This is done by choosing input x values and finding the corresponding output f x values Show all your work in how you find each f x value 3 points x f x Graph the function plotting and labeling the three points listed in the T table 1 point 6 F x 2 1 5 4 3 2 1 2 3 State the domain and range of the function

What is the quadratic regression equation for the data set An error occurred while saving Please contact your administrator 4 56 6 O 0 0322 0 601z 2 84 4 0 45 O 0 0322 0 6012 0 255 2 0 0 O 0 03222 0 601 2 1 14 0 032 0 601 0 255 4 2 1 6 2 84

1 point 6 5 4 3 1 3 4 5 State the domain and range of the function Domain Range 1 point 1 point

Determine if the following sets of quadratics are equivalent Choose true or false x 10x 14 0 and 2x 10 156 x 10 68 and x 20x 32 x 6x 247 and x 3 256 x 5 65 and x 90 10x False

Simplify the rational expression 52 10 x 4 3x 6 x 4x 4 A B 15 x 2 2 5 x 2 2 3 x 2 C 5 x 2 3 x 2 D 15 x 2 x 2

05 05 MC A table of data is given x f x 2 71 1 13 03 1 0 6 2 0 1 Which exponential model best represents the data Of x 3 1 2 x Of x 2 0 3 x Of x 2 3 x Of x 3 0 2

estion 1 Multiple Choice Worth 2 points 05 05 MC Which graph models the function f x 4 2 0 7 6 5 4 3 2 1 O 3 2 3 2 3 4 3 2 1 2 5 6 O 3 7 6 5 4 2 2 3 4 3 2 1 2 2 3 4 5 6 7

Which of the following includes only counting numbers and O O rational numbers O integers O whole numbers

Find the missing measurements Round side lengths to the nearest tenth and angles to the nearest whole angle CB Angle C Angle B C 35 A 21 B Blank 1 Blank 2

Which graph represents the function on the interval 3 3 f z 2 3 0 3 24 4 3 2 1 2 1040 3 24 4 3 2 1 20 08 0 4 5 0 5 6 6 4 3 2 1 05 6 4 3 2 11 2 887 9

What effect does replacing x with x 6 have on the graph for the function f x f x x 3 2 O The graph is shifted down 6 units O The graph is shifted right 6 units O The graph is shifted left 6 units O The graph is shifted up 6 units

What are the coordinates of the hole in the graph of the function f x z 3z 28 f x 247 Enter your answer in the boxes

Listen An arch of a walkway can be modeled by y 0 06x2 where x and y are meas meters Find the height and width of the arch when the arch meets the ground at 10 6 and 10 6 10 8 6 6 8 10x Height m Width m

Select the correct answer Solve the following equation for x x 8x 7 0 O A x 1 x 7 OB x 1 x 7 O c x 1 x 7 O D x 1 x 7

The table shows values for functions f z and g z X 1 3 5 f x 14 2 5 7 9 11 6 6 11 What are the known solutions to f x g x Select each correct answer D 1 05 07 9 g x 14 4 3 7 9 3

Construct the vector 0 7 c 1 2 d having initial point P Use the tools provided to move and scale the given vectors then don t forget to draw your final answer 1 0 d X P G

George is 7 and his mother is 37 In how many years will his mother be 3 times as old as he is in 8 years old when George is is is mother wil be 45 Pete is 14 and his grandfather is 54 How many years ago was his grandfather 6 times as old as Pete 7 Years ago pete s grandfather

38 3 poly 3a 3 na n 6 6mx 2m 9x 3 38 4a 7kn 6k 14n 12 6 7x 7a Bach 50 38 5 a 5y y y 5 6 y3 4 2y 2y c ax 3x 4a 12 d 2mx3m 4x 6 B 9m 9mn 5m 5n r be 3ac 2ab 6a B 2 21 3z 72 r 2 322 23 3

This system has one solution y x 3x 7 y 3x 2 What is the y coordinate of the solution Enter your answer in the box

How many real solutions does the system have y 3x 1 y x 3x 4 Enter your answer in the box

Quick Fix Inc repairs bikes The company s revenue is modeled by the function R h 220h 160 for every h hours spent repairing bikes The company s overhead cost is modeled by the function C h 20h 400 After how many hours does the company break even Enter your answer in the box

Write the rational expression in factored form by dragging the correct factors from the box provided Note not all responses will be needed and some responses may be used more than once POSSIBL 12x 4x 20x2 8x 4x 3 3x 1 3x 1 4x 8x 12x 52 2 8x 2 3x 1

Simplify the rational expression into lowest terms x 6x 9 2 9 A 2 3 x 3 B 3 C D 6z 1 3 2 3

13 Solve the quadratic equation and express all nonreal complex solutions in terms of i x2 5x 10

9 Perform the indicated operation Write the result in standard form 7 8i 2 4i 9 12i 9 12i 9 12i

Choose the correct value from each dropdown menu f x 3x 12x 9 r2 5 4 There is a vertical asymptote at x There is a hole at x This graph is

Example 4 The cold water tap can fill a tub 2 hours faster than the hot water tap The 2 taps together can fill the tub in 80 mins How long does it take for each tap to fill the tub