Quadratic equations Questions and Answers

The Median of the following data is 16 5 Marks Frequency 1 8 9 16 6 17 24 2 25 32 7 33 40 1 Total 20 4 Select one True False n

if a sample space for a random experiment is given by Q a 9 93 and P is the probability function such that P a P az P a P a 3 P a find P as Select one 5

for the following 15 13 6 5 12 50 22 70 18 Q3 36 Select one O True False

Assuming the linear regression equation is V 4 5 0 35 x Then the regression estimate at x 6 Select one O O T b 2 1 c 6 6

n 14n 45 2

y mx b Each table represents a linear function Find the slope and the y intercept Write the slope as a proper or improper fraction in simplest form or an integer Then write the equation in slope intercept form 1 3 5 x 0 1 2 3 X 0 1 2 X 6 3 3 0 y 6 9 12 15 y 4 1 2 5 y 8 3 2 7 slope y intercept equation slope y intercept equation slope y intercept equation 2 4 6 x 6 4 2 0 X 4 6 0 2 s 0 2 3 1 y 15 14 12 13 29 39 7 y 6 8 9 19 5 y Where m is the slop slope y intercept equation slope y intercept equation slope y intercept equation

8 m 8m 20

9 7 WRITE A LINEAR EQUATION FROM THE SLOPE AND A POIN Keep going In each problem you ve been given the slope of a line and a point on that line slope and point to write the equation of the line in slope intercept form 3 5 Equation Slope 5 Point 6 23 Equation Equation Slope Point 4 1 Equation Slope 9 Point 2 15 Slope Point 5 10 8 10 6 4 Equation Equation Date Slope 4 Point 3 16 Slope Point 18 17 Equation Slope Point 9 7 Equation Slope Point 6 7

10 m 14m 45

1 n n 12

3 x 17x 72 2

2 x 6x 40 2

7 v 2v 3

p 11p 24 2

2 5b 44b 60 2

8 10n 19n 15

96 7 8n 45n 18

9 9r 7r 2

6 7n 48 7

4 9p 92p 20

1 7x 71x 10

glass has circular cross sections that taper linearly from a radius of 4 cm at the top of the glass to a radius of 3 cm at the bottom The glass is 15 cm high and full of orange juice How much work is equired to drink all the juice through a straw if your mouth is 6 cm above the top of the glass Use 1000 kg m for the density of orange juice and 9 8 m s for the acceleration due to gravity Find the cross sectional area A y of a horizontal slice at y Use the center of the bottom of the glass as the origin in your coordinate system Choose the correct answer below OA A y y 0 45 B A y x y 0 45 15 OC A y y 0 45 OD A y x y 0 45 15 Set up the integral that gives the work required Use the center of the bottom of the glass as the origin Use increasing limits of integration Select the correct choice below and fill in the answer boxes to complete your choice Type exact answers OA SO OB JO CE dy dx

c In ADEF find the measure of all missing sides if ZD 63 ZE 47 and d 8 cm

1 Ethan throws a toy soldier with a parachute into the air from a balcony The path of the soldier can be modelled by h t 5 7t 18 where the height h t is in metres and the time t is in seconds a When will the soldier hit the ground 2 marks b How long will the soldier be above 15 m 2 Given f x 5x 3 and g x x 5 a Evaluate f 1 b Evaluate g 4 c Evaluate f 1 g 4 2 marks 1 mark 1 mark 1 mark

7 X 0 3 X y V 123 f E ABC a y 22 2 7 3 5 1 x 4 4 5 6 O 8 x 5 00 2 3 X DE 1 I eh U 2 8 2 x 5 x X i C 78 2

U 1 2 3 4 5 6 7 8 9 A 1 3 4 6 8 B 1 2 4 7 Complete a Venn diagram for the sets and then answer the following questions B D A Q For each of the questions enter the list of elements or a number If a response is the empty set type the word empty without quotation marks 1 AC 2 UC U 3 n B 4 An B

1 2 Solve each equation and check your solution x u x x 6 Type a response Solve each equation and check your solution 2x x 4 4 Type a response 1 1

5 Solve each equation and check your solution 8x 1 x 2 6 3 1 LO 5 1

The function y f a is graphed below What is the average rate of change of the function f x on the interval 6 27 10 Answer Attempt 1 out of 2 6 16 10 E 20 4 6 8 10 Watch Video Show Examples 858

Type your answers in all of the blanks and submit X Q Fill in each blank with the appropriate number for solving the equation x 1 4 x 3 a The solution of the equation is Type your answer here b The extraneous solution of the equation is Type your answer here

Fill in the blank with the appropriate number or expression that is required at each step to solve the equation For the solution set enter the solutions in order from smallest to largest separated by a comma If there is no solution enter no solution in the appropriate blank x 2 1 a By applying property 1 for solving absolute value equations we get the two equations x 2 Write your response here b Solving these equations we get X Write your response here c The solution set of the equation is or x 2 Write your response here or X Write your response here Write your response here Open in Re

ue in a day Fill in the blank with the appropriate number or expression that is required at each step to solve the equation For the solution set enter the solutions in order from smallest to largest separated by a comma If there is no solution enter no solution in the appropriate blank x9 6 20 a Before applying property 1 we must each side This produces the equation X 9 X 9 Write your response here b By applying property 1 for solving absolute value equations we get the two equations c Solving these equations we get subtract X Write your response here d The solution set of the equation is add subtract Type your answer here or x 9 or X Write your response here Write your response here Type your answer here from Open in Read

Part 1 Given an algebraic expression provide a written expression using words to represent numbers and operations Example Expression 9 x Written Expression Nine minus a number Expression Written Expression b 12 3x 15

Part 2 Given a written expression provide an algebraic expression Example Expression 4 x Written Expression Four plus a number Expression Written Expression Four times the quantity of a number minus four A number plus eight

Peal world situation provide an algebraic expression Example Real world situation The total cost of a 1 candy bar and x pieces of candy for 0 25 each Expression 1 0 25x Real World Situation The height of a 20 inch tall plant that grows 5 inches each month for x months Four fish and u turtles were seen in the pond Expression

Solve 2n n 6 0 02 0 2 0 12 10 3

Write the reduced radical form of the following expression a 1024x y12 ax y dx b C d

Simplify the expression and enter the simplified answer in the blank To enter the square root of an expression enter use sqrt as in sqrt3 for 3 Do not enter blank spaces in your answer 4 2 Type your answer and submit X X 2 18 8 2 Hint X You are incorrect

Solve 8n 4n 18 0 9 1 37 4 19 2 O 1 37 4 O O 1 i 37 4 1 i 37 4

8 y 2 x 5

Write the function shown in the graph to the right Write the function that describes the graph above y Simplify your answer X

The graph of a function f x is shown Describe each transformation to the graph of f x indicated by the function g x and sketch the result 19 g x f x 2 20 g x f x 23 g x f x 24 g x f x 4 2 2 0 st y 2 4 X

The graph of a function f x is shown Describe each transformation to the graph of f x indicated by the function g x and sketch the result 12 g x f x 4 13 g x f x 16 g x f 2x 7 g x f x 17 41x 0

What is the solution set to the inequality 5 x 2 x 4 0 x x 4 and x 2 O x x 2 or x 4 x x 2 or x 4 x x 4 orx 2

What is the solution set to the inequality 4x 3 2x 1 0 O O O x xs 120x2 21 or x1x 2 orX2 x x3 0 x2 O xx 3 orx21

Write the function shown in the graph to the right Write the function that describes the graph above y Simplify your answer OU

An acorn falls from the branch of a tree to the ground 25 feet below The distance S that the acorn is from the ground as it falls is represented by the equation S t 16t2 25 where t is the number of seconds For which interval of time is the acorn moving through the air 4 01

Which quadratic inequality does the graph below represent 6 54 3 2 1 1 2 3 4 5 6 x 7 Oy22x 8x 3 Oy 2x 8x 3 y 2x 8x 3 y22x 8x 3

3 The quadratic equation 6x 45x 24 has multiple correct factors Which set of factors below is NOT a possible answer Support your answer with an explanation and or work shown a 3x 24 2x 1 3 x 8 2x 1 c 6x 3 x 8 3x 8 2x 1 1

2 1 Write 73 without exponents