Quadratic equations Questions and Answers

Tell if the terms are like or unlike f 100 9f Are the terms like or unlike O Unlike

Identify the terms in the following algebraic expression 7x 5xy The terms in the expression are Use a comma to separate answers as needed

Evaluate the expression 3x 4 for x 4 When x 4 3x 4 Simplify your answer

Identify the graph of g x 2 x 1 2 3 Then identify the vertex and axis of symmetry 2 4 2 y YA A 2 4 x 2 x The vertex is 1 The axis of symmetry is 3 O O 2 4 2 4 2 2 y 6 10 2 4 x 2 x

Total Number of Persons Who Ate Each Specified Combination of Food Items at Ben s Steakhouse Ate porterhouse steak Did not eat porterhouse steak Ate porterhouse steak Ate prime rib Did not eat porterhouse steak 172 418 Total Number of Persons Who Ate Each Specified Combination of Food Items at Ben s Steakhouse and Who Later Became Sick with Gastrointestinal Symptoms Ate prime rib Did not eat prime rib 145 Did not eat prime rib 139 231 105 182 30 1 Using the data provided above calculate the gastrointestinal GI illness attack rate in persons who ate only porterhouse steak and did not eat prime rib Be sure to show your work No work no credit 2 Using the data provided above calculate the gastrointestinal GI illness attack rate in persons who ate only prime rib and did not eat porterhouse steak Be sure to show your work No work no credit

3 ch lerinnen und Sch ler Dieses Jahr sind es no 895 Sch lerinnen und Sch ler Wie viele Sch lerinnen und Sch ler sind das weniger LEG CEN obywa S 19097ba No 19 1024 895 1126 datbly ahmon von 2684 Euro und Ausgaben von 1986 Euro

rect graph The hazardous liquid oozed more and more slowly Choose the graph below that best illustrates the story O A Amount of liquid Time OB Time Time

Obtain an estimate for the following computation by rounding the numbers so that the resulting arithmetic can easily be performed by hand or in your head Then use a calculator to perform the computation How reasonable is your estimate when compared to the actual answer 30 45 16 406 An estimate of the difference is Type a whole number C

Choose the system of equations that best represents the situation below The sum of two numbers is 25 and their difference is 7 Find the two numbers x y 25 x y 7 x y 18 x y 25 x y 7 x y 25 x y 7 Previous 3

2 1 point Solve the system of equations using any method x y 2 3x 3y 6 O infinite solutions 0 6 no solution 6 0

18 1 point Elsa works at the China Emporium on Saturdays packing dishes for shipment She receives 12 cents for each piece she packs successfully and is fined 18 cents for each piece she breaks If she handles 188 pieces and is paid 20 16 she must have broken 8 pieces True False

13 1 point Solve the system of equations using any method 2x 4y 11 3x 6y 17 1 3 no solution infinite solutions 0 0

15 1 point Solve the system of equations by elimination 4b 13c 24 12b5c 16 Hint When you have variables that are not x and y put them in alphabetical order in your ordered pair EX b c 2 2 4 1 2 no solution

point Based on the system of equations graphed below what can you conclude about the two lines 2 43 2 1 0 2 3 No solution since the lines are parallel with the same slope One solution since the lines will intersect at some point The system of equations has infinite solutions No solution since the lines are perpendicular and they have opposite reciprocal slopes

2 1 point The table below shows how the cost of peaches change as the number of pounds change What is the rate of change Pounds of Total Peaches Cost 1 1 35 2 2 70 3 4 05 4 5 40 2 70 per pound 5 40 per pound 4 05 per pound 1 35 per pound

ctions Place each number below in the smallest set in which it belongs For mple 1 is a real number a rational number and an integer so we place it in the gers box but not inside the whole numbers or natural numbers 7 3 25 1 1 3 TE 2 175 0 7 Natural numbers Whole numbers Integers 2 2 3 3 1 3 1000 0 00005 YT pl 2 14 2

K Determine which of the following numbers are in the domain of the variable x for the expression shown below x 8 7 4x 32 a x 8 b x 0 c x 9 OB Yes because the value of the numerator x 8 atx 8 is OC d x 4 Yes because the value of the denominator 4x 32 at x 8 is OD No because the value of the numerator x 8 at x 8 is b Is 0 in the domain of the variable OA No because the value of the denominator x 4x 32 at x 0 is OB Yes because the value of the numerator x 8 at x 0 is OC Yes because the value of the denominator 4x 32 at x 0 is OD No because the value of the numerator x 8 at x 0 is

Simplify the expression 5 2 8x y 4x y 8x y 4x y Simplify your answer Use positive exponents only

K Write the following word phrase as an algebraic expression A number x decreased by eight The algebraic expression of A number x decreased by eight is 8 C

3 Determine which of the following numbers are in the domain of the variable x for the expression shown below x 8 x 4x 32 a x 8 b x 0 a Is 8 in the domain of the variable O A c x 9 d x 4 No because the value of the denominator x 4x 32 at x 8 is O B Yes because the value of the numerator x 8 at x 8 is OC Yes because the value of the denominator x 4x 32 at x 8 is O D No because the value of the numerator x 8 at x 8 is

Write the interval 11 The interval 2 Type an inequality or a compound inequality Choose the correct graph below O A 10 8 OC 8 10 6 11 as an inequality Then graph the inequality 6 can be written as the inequality 4 4 2 2 0 0 2 2 4 4 6 8 6 8 10 10 OB O D 10 8 10 8 6 6 4 A 4 2 2 0 2 4 02 4 6 60

f 3x 1 2x 1 g x x 7x oldu una g re g 8 ka olabilir A 4 B 2 C 0 D 2 E

Fill in the blank with the correct inequality symbol State which property of inequalities is being utilized If 3x 6 then x 2 2 www If 3x 6 then x Which of the following properties is being utilized Choose the correct answer below O Addition Property O Multiplication Property

Solve the linear inequality Express the solution set using set builder and interval notation Graph the solution set 3x 68 4x 33 The solution set expressed in set builder notation is x The solution set expressed in interval notation is Choose the correct graph of the inequality below O A O C 15 15 0 0 15 15 O B O D 15 15 0 0 15 15

points Prove that for any positive integer n there is an even positive teger k so that 1 n 2 1 A k I n

onvert 80 from degrees to radians Give the answer in exact form in terms of t 80 010 J

Consider the system of linear equations x y 9 0 0 50x 0 20y 3 45 Find the values of x and y

Dalculate the mean x and standard deviation s for the data set x Sample 2 3 Value 4 029 4 017 4 025

f x x 3x 3x 3 oldu una A 4 g re f B 5 99 100 f 101 100 C 8 ka t r D 10 E

For this participation assignment please make a grouped frequency distribution polygon using the information provided in the lecture and on this page HINT When making dots in the polygon the dot should be in the middle of the interval or the middle of the next interval for the y 0 dots The raw scores are presented in the following table X 12 13 10 11 8 9 6 7 f 4 5 3 3

Add or subtract the following rational expressions as indicated and simplify your answer 2 3 6 2 5 z 3z 10 Answer z 4 Z 2 www

the properties of exponents to simplify the following expression writing your answer with only positive expone y8 y 424 2y z

d the distance between the following numbers on the real number line a 12 b 13 swer

Number of Organisms 200 180 160 140 120 100 80 60 40 20 D 100 Predator Prey Interaction Model 200 300 Generation 400 500 600 Rabbits Wolves Looking at this graph give a 60 second summary 5 6 sentences discussing observations you see independent and dependent variables is there a trend D

est problem prompts below please show all work places if needed a A researcher in the Physics department was studying the behavior of a particle in motion The researcher ran several tests and came up with an average speed of 5 5 m s Although they got a good number they lost one of the data points Speed m s 5 6 5 7 5 5 Test 4 5 6 Speed m s 5 5 f st 5 4 Test 7 8 9 Speed m s 9 4 5 2 5 3 What had to have been the result of test 5 for our average to be 5 5 m s 5 2 5 3 5 4 5 5 5 5 5 6 5 4 2 4 5 6 b Going back through the data the researcher also noticed that one of the points was an outlier Identify the outlier and solve for the missing test value again but this time without including the outlier Is there a difference c The test of the outlier turned out to be a computer error thankfully though they is official missing value now

1 point On your own graph paper graph the system of equations and identify the solution Jy x 6 ly 0 6 3 3 3 3 3 0 6

6 1 point If a system of equations has infinite solutions what do you know about the graph The lines will intersect The lines will be the same The lines will be perpendicular The lines will never intersect

At the city museum child admission is 5 80 and adult admission is 8 90 On Wednesday 154 tickets were sold for a total sales of 1110 20 How many child tickets were sold that day

Consider writing m Y2Y1 X2X1 Find the slope of the line shown If the slope is undefined input DNE 10 9 8 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 The slope is 2 3 3 4 5 6 7 4 5 7 8 9 10 1 2 3 4 5 6 7 8 9 10

Suppose each license plate in a certain state has two digits followed by two letters followed by two digits The letters Q and U are not used So there are 24 letters and 10 digits that are used Assume that the letters and digits can be repeated How many license plates can be generated using this format license plates X

Identify key features from the graph below specifically the domain range min or max and the zeroes y H 7 6 5 4 3 2 7 6 654 3 321 2 1 2 23 3 4 5 34467o 6 y g x 1 2 3 4 5 6 7

1 Factor completely Then find the x intercepts for the function below Show ALL steps in order to receive full credit f x 12x 10x 12

For all values of 0 for which the expression is defined Select the correct answer below O2cot 0 csc 0 2cos 0 sec 0 2sin cot 2sin cos 0 cos 20 tan 0

21 1 point Your club is selling hats and t shirts to raise money for Juvenile Diabetes You have already spent 240 on the hats and t shirts and plan to sell the hats for 5 each and the t shirts for 12 each Let x represent number of hats sold and y represent number of t shirts sold You must sell enough so that you earn more than the 240 you have already spent Which of the following inequalities represents this situation 12a 5y 240 5a 12y 240 60xy 240 5x 12y 240 Previous Next

1 point Write an equation in slope intercept form of the line containing the points 3 1 and 6 7 y 3a 11 y x 9 y x 7

18 1 point f You have a bottle of water with a leak After 2 second there are 28 ounces left in the bottle After 6 seconds there are 20 ounces left in the bottle How fast is the bottle losing water 4 ounces per second 3 ounces per second 1 ounce per second 2 ounces per second 0000 Next

1 point an isosceles triangle there are two sides called legs that are the same length The third side is called the base If an isosceles triangle has perimeter 345 cm and ase length 85 cm what is the length of the each leg 260 cm 130 cm 87 cm 85 cm

3 1 point Five more than three times a number is 197 Find the number O 67 64 38 819 189

6 Solve the system a 10r 4t 6 7r 5t 12

image of the question you are asking about AND what you have tried so far 1 2 pts Solve the equation 5 40 7 Work 1 pt Replace these words with a cropped picture of your work for question 1 Answer 0 5 pt an