Quadratic equations Questions and Answers

Solve the equation Check your solution y 4 2 3

Solve the equation Check your solution 5 x 5 25 lution cot is Tyne an integer or a simplified fractic

Solve the equation 1 2y 5

Determine 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

Solve the equation 12 6x9x 15 The soluti

Solve the equation Check your solution 2y 2 14

Step 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

Solve the equation Check your solution 3x 3 12

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

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

Solve the equation 2 8 y 9

Solve the equation 2a 4 3a 13 19 Simplify your on

Solve the equation 9 22 y 5 8 The solution set is Simplify your an

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

ind the distance from the point 0 3 to the line y x 1

Solve the equation 5 4 C 3 1 8

Solve the equation 5x 15 30

Each 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

A 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

relation 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

The 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

a 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

4321 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

rate 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

At 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

Use the graph to answer the following questions

Find 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

Fill in the blank with the correct inequality symbol If x 11 then 4x 44

Use 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

An 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

Solve the equation Be sure to check your solution m 65 9 9 6

5 ut 15 52115o m an expression to represent the area of the shaded region 11 Write and simplify x 1 y x 2 2 1 x 2x 1 2 2 2 xey 2 2 9 2 x 1 x y x y x 2

Suppose the average yearly salary of someone whose terminal degree is a master s is 57 thousand less than twice that of someone whose terminal degree is a bachelor s Combined two people with these terminal degrees earn 150 thousand on average Find the average yearly salary of an individual with each of these terminal degrees The average yearly salary of a person whose terminal degree is a bachelor s is the average yearly salary of a person whose terminal degree is a master s is thousand and thousand

Solve the linear equation using the Addition Property of Equality 5 x 12 The solution sot is Simplify your answer

Determine if the given number is a solution of the equation 8b 2 7b 2b 7 b 5 Choose the correct answer below O No Ves

olve the linear Equation x 7 15 Step by Step Solution Because the coefficient of the variable x in this equation is 1 it is only necessary to get x by itself Step 1 Isolate the variable x on the left side of the equation To isolate the variable x on the left side of the equation x 7 15 7 should be equation each sid

Create a direction field of following differential equation y 9 8 0 05x y 9 8 0 1y y 0 1t 0 3y

3 Were you ever taught this nice trick to decide whether a number is divisible by nine A Prove 10 1 mod 9 B Prove that every positive number is congruent to the sum of its digits modulo nine E g 327 3 2 7 12 mod 9

5 0 5 Find the rule of the red portion of the function y Find the rule of the green portion of the function 5 Find the restricted domain of the red portion of the function Use interval notation powered by desmos Find the restricted domain of the green portion of the function Use interval notation

Use transformations to graph the function below by dragging the two points to appropriate locations 5 f x x 2 3 5 5 1 1 0 0 5

olve the inequality and graph the solution set on a number line 2x 4 3x7

The markup over dealer s cost of a new car ranges from 15 to 23 If the sticker price is 23 000 over what range will the dealer s cost vary The dealer s cost ranged from to inclusive Pound to the poorect conta pooded www

Given 0 a b which of the following is not the result of a reciprocal property Choose the correct answer below A 0 1 1 OB 0 a 116 1 b 1 c 0 1 1 1 0 b a

2 3 i 2a 6 57 10 Let a 5 VAA it 4a ab 27 vite m 3 2 2 0 3 ER a E R Compute

Simplify 100 x if x 10 sin 0 100 Type an exact answer in simplified form

Solving which equation is likely to require squaring each side more than once Choose the correct answer below OA x 2 3x 5 OB 3x 1 5 OC 3x 10 4 2 OD x 1 x 4 8

if triangles ABC and XYZ are similar what is the length of side X A 45 b B 24 17 are similar what is the length of side x X 15 17 Y X Z

Factor 45x 20y Next

3 A table of selected values is given for a function f f x a 5 2 0 7 2 7 a Find f 2

7 Teratogenic studies of insulin glargine were undertaken in rats at doses up to 0 36 mg kg day This is equivalent to which of the following a 360 cg lb day b 792 mcg lb day c 360 mg lb day d 163 6 mcg lb day