Algebra Questions
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Algebra
Permutations and CombinationsWhich of the following is equivalent to 1 cos 0 1 cos 0 csc 0 O sin 0 O cos 0 01 cos 0 O None of the above sin 0 1 cos 0


Algebra
Quadratic equationsDetermine the slope of the line containing the given points Graph the line 1 2 1 3 OA The slope is Type an integer or a simplified fraction B The slope is undefined Use the graphing tool to graph the line Use the two given points when drawing the line Click to enlarge graph C 5 3 1 3 4 3




Algebra
Quadratic equationsStep by Step Solution Step 1 Remove any parentheses using the Distributive Proper 5 5 6 p 4 8 p 3 13 6p 24 8p 1 Xx 24 13


Algebra
Quadratic equationsSolve the equation 4x 7 7x 17 The solution set is Type an integer or a simplified

Algebra
Quadratic equationsSolve the equation 4 6x 5 5 The solution set is Type an integer or a simplified




Algebra
Quadratic equationsSolve the equation Check your solution 8 x 3 6 10 The solution set is Type an integer or a simplified fractic




Algebra
Sequences & Series11 9 A Domain x 5 Range All real numbers B Domain x 4 Range All real numbers C Domain x 6 11 Range All real numbers D Domain x 5 Range All real numbers A Domain x 2 Range All real numbers B Domain x 2 1 Range All real numbers C Domain x 50 Range All real numbers Dy Domain x20 Range All real numbers 10 12 101 A Domain 35x25 Range 6y 6 B Domain 3 sxs4 Range 454 C Domain 1 x 3 Range 656 Dy Domain 2 x 6 Range 7 ys5 12 Dontain All real numbers Range y2 2 B Domain All real numbers Range ys 2 C Domain All real numbers Range 50 D Domain All real numbers Range ys 1 C zoom in

Algebra
Quadratic equationsEach graph represents a relation Determine the domain and range 7 A Domain rs Range 7 B Domain x2 1 Range 5 C Domain x 2 l Range 5 Dy Domain x2 1 Range y 6 PERS MERKING me Gire MELLES ARE CEPURES 8 A Domain All real numbers Range 50 B Domain All real numbers Range 2 2 Domain All real numbers Range 120 D Domain All real numbers Range 2 1

Algebra
Quadratic equationsA The relation is not a function B The relation is a function Each graph represents a relation Determine the domain and range A The relation is not a function Bi The relation is a function

Algebra
Quadratic equationsrelation is not a function B The relation is a function 3 A The relation is a function B The relation is not a function 4 4 A The relation is a function B The relation is not a function A The relation is a function B The relation is not a funcia

Algebra
Quadratic equationsThe function f x 2x 3 42x 2 270 x 6 has one local minimum and one local maximum Use a graph of the function to estimate these local extrema This function has a local minimum at x with output value and a local maximum at x with output value Question Help Video

Algebra
Complex numbersYour answer is incorrect Dante runs each lap in 4 minutes He will run at most 9 laps today What are the possible numbers of minutes he will run today Use t for the number of minutes he will run today Write your answer as an inequality solved for t t 77 0 0 0 0 OSO

Algebra
Quadratic equationsa Find the intercepts of the graph of the following equation b Graph the equation 3x 6y 9 Type an integer or a simplified fraction B There is no y intercept b Use the graphing tool to graph the line Click to enlarge C p 4 3 2 4 4 2

Algebra
Complex numbersDimensional Analysis Recall and practice Dexamethasone Sodium Phosphate Injection USP is available as 20 mg 5 mL 4 mg mL vials How many milliliters of this product should be administered to provide a dose of 15 mg How many milliliters for a dose of 0 2 g

Algebra
Quadratic equations4321 224466 43 224 46 10010011001 10010011001 2 Solve each expression Record your answer in standard form Expression 4 tens 6 tens 8 hundreds 2 hundreds 5 thousands 7 thousands 2 thousands 12 hundreds millions b 54321 hundred thousands d 2224466 3 Represent each addend with place value disks in the place value chart Show the composition of larger units from 10 smaller units Write the sum in standard form 2200 ten thousands Standard Form 2 224 466 thousands 0 0 0 21 hundreds 600 e Oc le co vole tens 20 ones

Algebra
Complex numbersUsing the given equation a find the intercepts of its graph and b graph the equation 0 5x 0 5y 1 OB There is no y intercept b Use the graphing tool to graph the equation Use the intercepts when drawing the line If only one intercept exists use it and another point to draw the line Click to enlarge C 10 8 6 4 D 10 8 6 4 2 de 2 4 6


Algebra
Quadratic equationsrate a 420 miles in 7 hours b 360 customers in 30 days c 40 meters in 16 seconds d 7 96 for 5 pounds 2 Write three ratios that are equivalent to the one given The ratio of right handed students to left handed students is 18 4 3 Mr Rowley has 16 homework papers and 14 exit tickets to return Ms Rivera has 64 homework papers and 60 exit tickets to return For each teacher write a ratio to represent the number of homework papers to number of ext tickets they have to return Are the ratios equivalent Explain 4 Jonathan s parents told him that for every 5 hours of homework or reading he completes he would be able to play 3 hours of video games His friend Lucas s parents told their son that he could play 30 minutes for every hour of homework or reading time he completes If both boys spend the same amount of time on homework and reading this week which boy gets more time playing video games How do you know 5 Of the 30 girls who tried out for the lacrosse team at Euclid Middle School 12 were selected Of the 40 boys who tried out 16 were selected Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls How do you know 6 Devon is trying to find the unit price on a 6 pack of drinks on sale for 2 99 His sister says that at that price each drink would cost just over 2 00 Is she correct and how do you know If she is not how would Devon s sister find the correct price Each year Lizzie s school purchases student agenda books which are sold in the school store This year the school purchased 350 books at a cost of 1 137 50 If the school would like to make a profit of 110 trips and school activities what is the least amount they can cha your answer

Algebra
Complex numberssin t Suppose F z 6 t dt Use the Fundamental of Theorem of Calculus to calculate

Algebra
Quadratic equationsAt the end of a snow storm Abigail saw there was a lot of snow on her front lawn The temperature increased and the snow began to melt at a steady rate Let S represent the depth of snow on Abigail s lawn in inches t hours after the snow stopped falling A graph of S is shown below Write an equation for S then state the y intercept of the graph and determine its interpretation in the context of the problem Depth of Snow on Abigail s Lawn Number of Hours after the Storm

Algebra
Permutations and CombinationsRajah di bawah menunjukkan satu graf tak terarah dan berpemberat The diagram shows an undirected weighted graph DO 6 3 A H U 8 13 9 G 10 5 B 14 F Jumlah nilai pemberat minimum pokok bagi graf itu ialah 4p q Jumlah nilai pemberat maks pokok bagi graf itu ialah 4p q 2 Hitung nilai p dan nilai q The minimum total weight of the tree for the graph is 4p q The maximum total weight 5 markah 5 m tree for the graph is 4p q 2 Calculate the values of p and q

Algebra
Matrices & DeterminantsThe average velocity i y displacement between 1 sec to 2 sec is y 8 t 21 1 86 t2 21 8 5 58 2 42m Avarage velocity 3 42 2 42 ii y displacement between 1 sec to 1 5 sec y 8 t 1 51 1 86 t2 1 51 8 x 0 5 2 325 1 675m Avarage velocity 1 675 3 35


Algebra
Permutations and CombinationsTemperature as a function of distance This will also be continuous as temperature cannot randomly fluctuate c Need not be continuous because the altitude is usually not measured in very very minute changes So this could be discontinuous d The cost of a taxi ride is also not continuous because with each very minute increase in km value we d not see anychange in the charge e Also continuous

Algebra
Quadratic equationsFind the slope and the y intercept of the line given by equation 3y 5x 9 Rewrite the equation in slope intercep form The slope of the line is Type an integer or a simplified fraction The y intercept of the line is Type an integer or a simplified fraction The slope intercept equation is Type an equation

Algebra
Complex numbers225a 96 25c 75 ac 45 ab 15 bc 0 450a 186 50c 90 ab 30 bc 150 ac 0 225a 96 25c 225a 96 25c 2 x 15a x 362 x 5 x 15 ac 2 x 31 x 5c 0 15 a 3b 3b 5c 5c 15 a


Algebra
Complex numbers1 Find the equation to the line below y x Enter or to indicate if your answer is positive or negative Enter

Algebra
Complex numbersWrite the given inequality using interval notation and illustrate the inequality using the real number line 4 x 6 Use interval notation to express the inequality What is the resulting interval Choose the graph that illustrates the inequality on the real number line O A O C 2 1 0 1 2 1 0 1 2 3 2 3 4 5 6 4 5 6 7 8 9 10 7 8 9 10 B O D 2 1 0 1 2 1 0 1 2 2 3 4 5 E 3 16 7 8 4 5 6 7 9 10 8 9 10

Algebra
Quadratic equationsUse the graph to estimate the x and y intercepts 16 12 8 4 16 12 8 40 4 8 12 16 x 8 12 1 1 y 16

Algebra
Permutations and CombinationsSolve the equation 5x Step by Step Solution Step 1 Isolate the term containing the variable To isolate the term containing the variable x of the equation 5x 7 18 7 to each side of the e

Algebra
Complex numbersSolve the inequality Express your answer using interval notation Graph the solution set x 2 x 3 x 3 x 3 THE SIMS vymaliy i www Type your answer in interval notation Use integers or fractions for any numbers in the expression Simplify your answer Graph the inequality Choose the correct graph below O A O C O E 5 5 5 0 0 5 B O F 5 0 5 5 5

Algebra
Quadratic equationsAn adult s dose of a certain medication is ten more milligrams than twice the child s dose a Write an equation for the adult s dose in terms of the child s dose Be sure to indicate which variables you choose for each unknown b If the child s dose is 50mg what is the dose for the adult ion 1 3 Integers 1 Insert the correct inequality symbol between the pair of numbers below For each write the two possible ways to represent the inequality e g for the pair 2 5 we would write 2 5 and 5 2 a b 11 12 45 50

Algebra
Complex numbersSolve the inequality Express your answer using set notation or interval notation Graph the solution set 9x 5 41 The solution set is 4 00 Use integers or fractions for any numbers in the expression Choose the correct graph of the inequality below O A 0 OC 10 O E 10 2 8 8 6 6 2 2 8 0 0 10 2 2 B O D OF 10 4 10 10 8 8 6 6 2 N 0 0 0 2 2




