Quadratic equations Questions and Answers

Consider the following quadratic equation 2 16z 63 Determine the constant that should be added to both sides of the equation so that the left side becomes a perfect square trinomial is the required constant Solve the quadratic equation by completing the square Enter solutions using a comma separated list oo 9 7

Consider the following quadratic equation 2 26z Determine the constant that should be added to both sides of the equation so that the left side becomes a perfect square trinomial 165 X is the required constant Solve the quadratic equation by completing the square Enter solutions using a comma separated list 2 11 15

Determine the intervals over which the function is increasing decreasing or constant x 3 3 2x 1 x 0 0 x 2 x 2 11 f x x 1 1 0 4 2 4 2 y 1 0 x 2 4 12 f x 13 f x 2x 1 xs 1 x 2 x 1 y

Which set of ordered pairs represents a function from P to Q P 1 2 3 4 Q 2 0 2 O 1 2 2 0 2 2 3 0 4 2 O 3 2 3 0 3 2 O 3 0 2 2 1 0 2 2 3 2 O 2 0 3 2 4 0 O 1 2 3 0 1 2 3 2

Is the relationship a function 1 Domain National League American League Range Cubs Pirates Dodgers Orioles Yankees Twins 2 Domain Year 1994 1995 1996 1997 1998 1999 2000 2001 2002 Range Number of North Atlantic tropical storms and hurricanes 7 12 13 14 15 19

The bar graph shows the percentage of country A high school seniors who applied to more than three colleges Percentage of country A High School Seniors Applying to More Than Three Col for selected years from 1980 through 2013 The data in the bar graph can be modeled by f x x20 and g x 32 800210 in which fix and g x represent the percentage of high school seniors who applied to more than three colleges x years after 1960 Use these functions to complete parts a through c below a According to the linear model what percentage of high school seniors applied to more than three colleges in 2010 b According to the exponential model what percentage of high school seniors applied to more than three colleges in 20107 Round to the nearest percent as needed e Which function is a better model for the data shown by the bar graph in 2010 OA Exponential model OB Linear model Percentage of high scho 8218 41 od Food 64

Consider the graph of the function f f x 10 5 X 10 5 5 10 5 Use interval notation to determine where f x 0 2 00 Use interval notation to determine where f x 3 10 X

What is an equation in standard form of an ellipse centered at the origin with vertices 6 0 and foci 3 0

Naryah Pollard Jan 5 2023 1 Solve the equation 12 12 1 2x 12 3x 2x 3x 12 x 1 2 2 x 11 22 2 Similar equation found on YouTube Let s Solve The Linear Equation

12 O 16 8 4 12 8 OO 4 0 4 8 8 12 Write an equation for a new circle that follows the same pattern as the other circles Remember The equation for a circle in standard form is x h y k where r is the radius and h k is the center of the circle When you enter your equation it will be graphed in purple Keep modifying the equation until it s right Submit

5 5 10 5 10 O 2 What do these circles have in common Select all that apply They all have the same center 4 3 They all have the same radius They all have the same center 3 4 They all are below the x axis Submit

12 8 O 4 12 8 0 4 8 Pattern 4 C 8 12 What do these circles have in common Select all that apply They all have the same radius They all have the same x coordinate for the center They all are tangent to the x axis The absolute value of the y coordinate for the center of the circle is its radius They all have the same y coordinate for the center Submit

Solve graph and give interval notation for the inequality 3 3x 6 1 0 1 2 3 4 5 5 4 3 2 1 Clear All Draw Interval notation for the above graph is

Solve the following inequality x 6 3 1 Write the answer as an interval use oo two lower case o s for o 2 Graph the solution set 10 9 8 7 6 5 3 2 1 Clear All Draw 0 2 2 3 4 5 6 O 7 8 9 10

Write the slope intercept forms of the equations of the lines through the given point a parallel to the given line and b perpendicular to the given line 14 2 1 4x 2y 3 15 3 2 x y 7

Objective In this lesson you will learn how to find and use the slopes of lines to write and graph linear equations in two variables Identify the line that has each slope 1 a ma b m is undefined LA 42

15 Given p x 4x 1 and q x x 3 find each p q x 16 17 18 19 p q 1 Given p x 4x 1 and q x x 3 find each p q x q p 0 Given p x 4x 1 and q x x 3 find each p q x Given p x po q x p q 2 Given p x 4x 1 and q x x 3 find each 2 3 Excluded value s of C 4x 1 and q x x 3 find each qop 4

1 4 7 12 15 11 18 11 21 24 Use the area model below to answer the following questions Situation 1 Situation 2 Situation 3 a 24 B b 33 B A B A What is the probability of B being selected B A B B

3 6 9 12 15 Question 14 Unsaved a 411 71 Ob 54 1 Category Test Midterm Final John wants his overall grade to be an 90 what does he have to make on the final to achieve this c 70 9 Scores 80 82 87 84 Category 50 15 35

19 11 22 25 10 28 11 31 20 23 1O 29 26 27 32 11 13 24 30 33 11 VAL S Le probauity Litat a person cruach attavi Question 21 Unsaved Math Econ 130 100 90 a 190 Ob 0 25 O c 0 528 d 0 278 40

Name When is a x d x What does this mean Find a 5 What does this mean If d x 2000 then x What does this mean When is a x d x What does this mean Name When is a x d x What does this mean Find a 5 What does this mean If d x 2000 then x What does this mean When is a x d x What does this mean 28 000 24 000 20 000 16 600 Amount of water gallons 12 000 8000 4000 O 28 000 24 000 Amount of water gallons 20 000 16 000 12 00 8 000 4000 a x 4 d a x Date HHHHH time minutes 4 Date a x 1 400x 28 000 d x 1 000x 24 000 8 20 12 time minutes d x 16 a x 1 400x 28 000 d x 1 000x 24 000 24 d x 20 24

8 lb of chicken plus 1 lb for each guest Express the relationship between the number of 9 Question Help At a cookout Mrs Crawford makes guests x and the number of pounds of chicken y with an equation Is the relationship between x and y proportional Use pencil and paper to explain your reasoning Express the relationship with an equation Ute integers or tractions for any numbers in the expression

Write 108 in simplest radical form

Solve the equation for all real solutions in simplest form 2 p 5p 3 0

Simplify the expression to a bi form 11 2i 9 8i

Solve for all values of x by factoring X x 48 1 X

Go step by step to reduce the radical 288

Why does the Texas Real Estate Commission approve or promulgate or both specific forms to be used in real estate transactions OA Because lenders require transactions to be recorded via computer and computers cannot accommodate a wide variety of different answers OB Because the federal Consumer Financial Protection Bureau has ordered TREC to provide forms OC So that it can collect a royalty each time a form is used OD Because the vast majority of real estate transactions are similar in nature and standardized forms can help protect all parties involved Que

Under what circumstances can property owners take back their land after it has been taken in an eminent domain proceeding OA If land taken by eminent domain is not redeveloped or reused within 10 years the original owner may buy back the land for the price the owner received for it 10 years before O B In a hostile eminent domain procedure if the former landowner continues to occupy becomes a squatter on the land and authorities do not attempt to remove him within 60 days the land reverts to the owner OC There are no scenarios in which a removed landowner may retake control of a seized property OD Before an eminent domain proceeding closes and a judgment is entered a legal landowner may take steps to pollute or otherwise destroy the land making it no longer desirable by the government Q

t Question 35 of 60 A limited partnership includes OA general partners only OB limited partners only C both general and limited partners OD special partners only

Bray s employer pays 2 356 in health insurance and 156 in life insurance per year He also gets 3 626 in paid time off per year His monthly gross pay is 4 664 What are Bray s total job benefits per year O 62 106 O 55 968 O 10 802 O 6 138

How many and what parties are involved in a deed of trust OA Two the mortgagor and the mortgagee OB Two the trustee and the trustor OC Three the trustee the trustor and the beneficiary OD Three the mortgagor the mortgagee and the beneficiary

At 1 Question 39 of 60 Question ID The type of listing contract that guarantees the listing broker will be paid a commission if anyone including the seller finds a buyer for the property is the A open listing B exclusive agency listing C exclusive right to sell listing D either the exclusive right to sell or the exclusive agency listing

PART IV QUESTION Answer the question in this part The question is worth 6 points 16 For the function f x shown graphed below answer the following questions Ragy State the range of f x 1 0 1 5 Range Domain What values of x solve the equation f x 1 Circle points on your graph that justify your solution f x 13 Give an interval over which f x is increasing 2 Domain 4 2 1 5 increasing y y f x W 8 t Decreasing

26 Which graph represents 2x 3y 6 Slope equation in slope intercept form first a b 27 If f x 3x 12 find the value of x when f x 36 a 120 X b 16 c 24 c d d 8 X 28 Find the intersection of the lines y 2x 1 and y 5x 6 using the Substitution Method Check Solution a 1 1 b 1 2 c 1 1 d 1 2

5 Combine like terms 3m 4 7m 5 6 a 10m 9 b 10m 1 Chapter 1 Solve the equation 2n 10n 3 n 5 1 a N I b n 2 11 11 7 Solve 8r 56 r 64 b r 7 I c 4m 9 d 4m 1 c 11 d n 11 c r 7 11 d r 448

ON HOU OT OU When a four acre piece of property is offered at 3 per square foot what is the asking price OA None of these OB 522 720 OC 436 360 OD 624 860

OA the originating point of an oil or gas pipeline OB the headwaters of a river OC the originating point of a circle datum and the originating point of a distance benchmark OD an elevation point for the purpose of establishing air rights

Even if a name and number are on the do not call list the individual may be contacted if OA the person has had a business relationship with the company in the past 18 months B the person fits a statistical profile suggesting a likelihood of being interested in real estate such as being recently married reaching a certain income level having a child etc C the person has had a business relationship with an affiliated company in the past 6 months such as a lender affiliated with a brokerage OD the person has had a business relationship with a competing company such as working with a salesperson from a different company

When paying off debt a property owner increases OA desire OB resale value OC equity OD price

Could a motorcycle rider and member of an outlaw motorcycle gang claim discrimination if a real estate agent refused to show her properties in a quiet neighborhood O A Yes motorcycle riders are entitled to equal protection OB No motorcycle riders are not a protected class OC Yes a motorcycle rider could claim she was discriminated against on the basis of a club membership OD Yes a motorcycle rider could claim to be discriminated against on the basis of unproven allegations of bringing the wrong kind of people into a neighborhood

For an entrepreneur to set up a real estate brokerage as a sole proprietorship she must first OA register with the Texas Association of REALTORS B There are no preliminary regulations but a brokerage license will be required after the 10th real estate sale OC file a territorial application with TREC so it can determine whether more real estate businesses are needed in the desired area D have a valid broker s license

A broker is clearly entitled to conduct performance reviews with employed sales agents May a broker conduct performance reviews with independent contractors O A Independent contractors may only be reviewed on clerical duties is paperwork complete is paperwork in on time are proper forms being submitted have continuing education hours been met etc B No independent contractors are free from reviews regarding sales office presence or clerical responsibilities C Yes brokers may review the sales performance of independent contractors but may not terminate independent contractors for failure to meet goals OD Yes brokers may review all aspects clerical duties and legal compliance the work of independent contractors including meeting goals office nduct

Question 24 of 60 What form of agency is illegal in Texas OOOO A Dual agency B Buyer agency OC Listing agency OD Single agency

The Fair Housing Act provides for certain exemptions but no exemptions apply OA for club owned lodgings that are rented to its members as long as the lodgings are being operated commercially OB for the rental of rooms in an owner occupied one to four family dwelling OC for the rental of a single family home when the home is owned by an individual who does not own more than four such homes at one time OD when a real estate license holder is involved in a transaction

Identify the parent function of f x x 4 Select the correct answer below O Constant O Linear O Quadratic Cubic O Square Root Absolute Value

Rewrite the following quadratic function in vertex form Provide your answer below f x 2 x 3 4 f x 2x 12x 14

Find the intersection of the line and the circle given below y x 16 Provide your answer below x y 128 Give your answer as an ordered pair x y If there are two solutions give your answer as two ordered pairs separa comma For example if you found that the solutions were 1 2 and 3 4 you would enter 1 2 3 4

The graph of y f x x is shown below dashed curve Manipulate the green draggable points to obtain the graph of y f x 1 4 solid curve Provide your answer below 10 5 10 5 5 10

Given the graphs of f x and g x below find the composition of functions f g 0 Do not type f g 0 in your answer 6 5 4 3 2 1 3 21 14 0 14 2 f x 01 2 3 g x 11 M