Quadratic equations Questions and Answers

Solve the equation by completing the square 2x 16x3 25 x

Consider the function f x defined by the finite set f x 2 5 0 4 1 3 Using Desmos Graphing Calculator graph the function f x and the transformation g x f x 4 Upload a screenshot of your graph and its transformation creer sho Note This activity requires you to capture a screer shot and submit Please refer to the Screenshot Instructions if you need help

6 Write an expression for the volume of a rectangular prism if the length is 37 inches shorter than some given amount x and the width is 18 inches longer thanx and the height is a inches V inches

3 When is the expression negative What is your reasoning Check all conditions that apply when z is negative and odd when n is negative when is negative when n is negative and odd when is odd when n is odd

5 When is the expression an equal to zero O when x is zero O when n is zero

1 Use your calculator and evaluate answer

mit quiz Two angles are supplementary angles if the sum of their measures is 180 Find two supplementary angles such that the measure of the first angle is 50 less than three times the measure of the second The measure of the first angle is The measure of the second angle is

Find the trig ratio 29 20 0 21 sin 0 Round to the nearest hundredth Remember SOHCAHTOA Enter

Water tank f x y x y 5 9 Tank post ayak f x y 5x sin x 3 y units are in meters so the radius of the tank is 3 meters Please plot the equations in the chart below 10 points There should be four posts but you need to find the coordinates of only one of them Please find height h in meters 40 points Water tank h Pos

Two tanks each holding 50 L of liquid are interconnected by pipes with liquid flowing from tank A into tank B at a rate of 4 L min and from tank B into tank A at 1 L min as shown in the figure The liquid inside each tank is kept well stirre Pure water flows into tank A at a rate of 3 L min and the solution flows out of tank B at 3 L min If initially tank A contains 3 3 kg of salt and tank B contains no salt only water determine the mass of salt in each tank at time t 0 Graph on the same axes the two quantities x t and x t where x t is the mass of salt in tank A and x t is the mass in tank B Click the icon to view the figure of the tanks What are the equations for the mass of salt in each tank at time t 0 X t X t

13 Rewrite using exponents Do not evaluate 11 x 11 x 11 x 11 x 11 x 11 x 3x3x3x3x3x3x7x7x7 Be careful with your answer Use the equation 2 button to make sure the computer is reading your answer the way you want Use parentheses if needed

12 Evaluate Try to do this without a calculator 4 6 x

Rewrite using exp x y x5y x y 18 x 5y18 8 9

5 Rewrite using exponents Do not evalua a f4a5f answer C

3 Evaluate Try to do so without a calculator 3 answer

Express the polynomial v 1 41 3 in P as a linear combination of the polynomials 2 P 1 21 5 P 21 31 and P3 1 1 5

Which system of inequalities is represented in the following graph YA O y and y 2 Oy or 2 Oy z ory 2

Which system of equations is represented in the following graph y O x y 2 x 2y 2 O x y 2 x 2y 2 O x y 2 x 2y 2 O x y 2 x 2y 2 All changes se

4 points Single Choice Solve the equation Find the exact solution of 22x Sre2x 6 x CA 2 3 OB 1 6 c 2 3 D 1 6

19 Which system of inequalities is represented in the following graph y H X

2 Which system of inequalities is represented in the following graph y Oy r 1ory x 2 Oy r 1 and y 2 2 Oy 1 1ory 2 2 Oys t 1 and y x 2 3 0 346 GET IT NOW EXIT SUBMIT

17 You want to get rid of the x by elimination in the system below 7x 8y 20 8x13y 13 If you multiply the top equation by 8 by which number will you multiply the bottom equation O 13 07 O 13

The half life of radon 222 is 3 8 days How much of a 100 gram sample is left after 1 15 2 days For half life use a multiplier of 2 Show your work using the Equation Editor tool

1 Find the coordinates of the ordered pair where the maximum value occurs for the equation P 8x 2y 32 given these constraints 4x 2y 2 MI4 y 7 O 4 7 O 2 3 O 2 5 O 4 9

9 Find the maximum value of P 7x 13y 47 given the following constraints y x 1 21x 7y 35 x 3 y 4 The maximum at

7 Solve the system of equations 6x 15y z 95 3x 8y z 51 8x 16y z 117 X y 2

6 Solve the system of equations 4y 2z 88 4x 4y 2z 8 4y 56 X y

8 Solve the system of equations x y 17 y 5z 4 x 11z 17 x y Z

3 What does x equal in the solution of the system of equations below 4x 8y z 66 y z 11 y 3z 3 0 1 01 O

7 Minimize P 3x 23y 49 given the following constraints y x 4 8y 6x 44 4y 28 2x 14y 7x 42 x 2 x 6 The minimum is at

1 Find the coordinates of the ordered pair where the minimum value occurs for the equation Q 9x 8y 16 5 given these constraints x 3 2x 3y 9 2x 3y 3 O 3 1 O 3 9 O 3 5 O 3 3

8 Minimize K 3x 15y given the following constraints y x 6 y 4 Y 7 5 The minimum is at

6 Find the minimum value of L 20 15x 8y given the following constraints x 7 y x 1 y 5 x The minimum is at

3 Minimize P 8x 7y given the following constraints 2x 4y 20 15x 15y 120 M0 yM0 The minimum is at

4 Minimize Q 2z 9y given the following constraints 8x 4y 44 y 3 M2 The minimum is at

2 Minimize P 15e 29y 1 given the following constraints y 3 y x 0 yMx 2 The minimum is

11 Which system of inequalities is represented in the following graph Oy x 3 or x 5 Oy x 3 and x 5 X

9 Identify the solution to the system of equations graphed below y 00 O Not enough information to tell A changes ave X

se ALG 053 T004 Algebra 1 Part 2 TL Unit 2 Systems of Equati 8 Which system of equations is represented in the following graph YA 3x 4y 20 5x 4y 12 3x 4y 20 5x 4y 12 O 3x 4y 20 5x 4y 12 Esau Sullivan All changes saved X SAVE EXIT SUBMIT ALL ANSWER

1 2 3 4 Write an equation in slope intercept form for the line with slope O X 6 8 08 S 3 7 8 and y intercept 2

atles is represented in the following graph Oy x 3 and y x 1 Oy 3 or y x 1 Oy x 3 or y x 1 Oy 3 and y x 1 At ang

You should be able to find this without a calculator 3 cos 11 121 sin cos

You should be able to find this without a calculator cos sin 1 2 1

13 Solve the system of linear equations by elimination 6x 3y 57 2x y 33 y

1 Solve the system of linear equations by elimination 6x 2y 8 4x 3y 77 3 y

12 Solve the system of linear equations by substituti 2x 6y 48 x 4 y y

10 Solve the system of linear equations by substitution 3x y 20 x 16 y X y

9 You want to get rid of the a by elimination in the system below 2x 5y 13 5x 11y 11 If you multiply the top equation by 5 by which number will you multiply the bottom equation O 02 O 11 OC O 11 2

11 Solve the system of equations by substitutle 3x y 2 7x 3y 4

8 Solve the system of equations by elimination 9x 3y 36 8x 4y 28 x y