Quadratic equations Questions and Answers

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

Select the correct answer below 7 7 6 5 4 3 2 11 6 5 4 3 2 HELLU 2 3456 The polynomial has odd degree and positive leading coefficient The polynomial has odd degree and negative leading coefficient The polynomial has degree and positive leading coefficient The polynomial has even degree and negative leading coefficient 2 B 4 67

Using the remainder theorem which binomial divisor of f x results in a remainder of 30 for the function f x x 2x 93x 300 Select the correct answer below x 3 O x 2 O x 1 O x 3 O x 2 O x 1

For what values of x is x 25x 164x 320 0 a true statement List the values separated by commas and do not include in your answer Provida

Find the graph of the function below Select the correct answer below 8 Y 7 6 f x x 5 x 4 x 1

Consider the graph of the function f x Provide your answer below 2 121 x x 132 Find the x value of the removable discontinuity of the function The removable discontinuity occurs at x

Determine the intercepts x and y of the function f x M Enter the intercepts as ordered pairs x y separated by commas if there is more than one Provide your answer below x intercept s x 4x x 5 y intercept s

Which functions have graphs with a horizontal asymptote Select all that apply Select all that apply 2x f x 225 x 5 f x 5 f x 22 f x 92 x 6 f x 1 x

A tank is being filled with a liquid L t given below is the amount of liquid in liters in the tank after t minutes L t 1 25t 61 Complete the following statements 1 Let L be the inverse function of L Take x to be an output of the function L That is x L t and t L x a which statement best describes L x The ratio of the amount of liquid in liters to the number of minutes x The reciprocal of the amount of liquid in liters after x minutes The amount of time in minutes it takes to have liters of liquid The amount of liquid in liters after x minutes b L x 1 c L 115 log 2 X Olog No solution 0 0

2 Which of the following points is not a solution of 2x B 0 0 A 2 5 3 Which inequality is represented by the graph below A y 2 x 1 B y x 1 4 2 2 3y 12 Circle all possible answers C 4 1 D 3 4 4 x u eroileupe to mojaye srit C y x 1 5 D y x 1

10 Which system of equations is represented by the graph at below State the equations that represent the lines and the solution to the system of equations Equation 1 O y Equation 2 X Solution

If f x Select the correct answer below O71 2 2e find which is the value of f 3 rounded to the nearest tenth 63 1 O 52 6 O 40 2 O 34 5

Evaluate e 0 Round your answer to four decimal places Provide your answer below 09

Let f x 4 2 1 Evaluate f 2 without using a calculator Do not include f 2 in your answer Provide your answer below

If y log5 0 2 what is y Provide your answer below

What is the value of log4 16 Do not include log4 16 in your answer Provide your answer below

Graph the function f x 2 3 by moving the key points Provide your answer below 5 5 0 5

Graph the function f x C Provide your answer below 5 101 You can only graph integer points for example you cannot plot the point 5 by moving the key points 0 5 1

Find an equation of the circle that has center 5 3 and passes through 6 4 0 09 010

Given the function f x below find f 1 2 Move the draggable point to the location of 2 f 2 Provide your answer below 2 2 4 5 3 2 1 3 2 2 5 4 3 2 N 1 2 3 4 1 0 2 3 TER THERE 4 5

Espa o The mass of a radioactive substance follows a continuous exponential decay model A sample of this radioactive substance has an initial mass of 821 kg and decreases continuously at a relative rate of 5 per day Find the mass of the sample after two days Do not round any intermediate computations and round your answer to the nearest tenth

The credit remaining on a phone card in dollars is a linear function of the total calling time made with the card in minutes The remaining credit after 42 minutes of calls is 24 12 and the remaining credit after 73 minutes of calls is 19 78 What is the remaining credit after 82 minutes of calls Remaining credit in dollars Calling time in minutes 1 X S

The three sides of a triangle are n 4n 2 and 4n 7 If the perimeter of the triangle is 45 cm what is the length of each side Separate multiple entries with a comma Answer 2 Points E Keyboa

Question 14 Y of 37 Step 1 of 2 Set up the equation for the following word problem and solve the equation Let x be the unknown number 31 times a number minus 98 is equal to 78 less than the number Step 1 of 2 Write out the equation Answer 2 Points

Question 12 of 37 Step 1 of 1 Solve the following formula for the indicated variable Answer 2 Points I Prt solve for P

Find the quotient AnswerHow to enter your answer opens in new window 2 Points 44 4 Key Selecting a checkbox will replace the entered answer value s with the checkbox value If the checkbox is not selected the entered answ

R Divide using the division algorithm Write your answer in the form Q where the degree of R is less than the degree of D D Answer 2 Points Bonus 12x 12x 27 4x 8

RD Divide using the division algorithm Write your answer in the form Q where the degree of R is less than the degree of D D Answer 2 Points Bonus 12x 12x 27 4x 8 Keybo

Divide the polynomial in the numerator by the monomial in the denominator Simplify your answer 54x636x5 15x4 9x4 Answer 2 Points

The Smiths are moving across the country Mr Smith leaves 5 hours before Mrs Smith If he averages 75 mph and she averages 95 mph how many hours will it take Mrs Smith to catch up to Mr Smith

y 1 x 1 2 1 13 4 Laesia is creating beaded jewelry to give to her family and friends For her family she assembled 2 bracelets and 2 necklaces using a total of 186 beads For her friends she assembled 6 bracelets and 5 necklaces using a total of 481 beads Assume that she uses the same number of beads for every bracelet and necklace 4 a Write a system of equations to represent this scenario 2B 2n 1860 beads 63 5n 481 bears b Determine the total number of beads used to make one bracelet and one neckla

Find the values that satisfy the equation below Answer 2 Points x 80 Selecting an option will display any text boxes needed to complete your answer

3 Graph the line with slope 4 K 10 8 6 4 2 10 8 6 4 2 2 6 OC 10 passing through the point 3 2 2 8 x 10 X S

Solve for u where u is a real number 3 U 4 If there is more than one solution separate them with commas If there is no solution click on No solution U T No solution 9 0 0 0 0

You deposit 1500 at 2 per year What is the balance at the end of 5 years if the interest paid is compounded daily Round the nearest penny O 1657 34 1530 30 1530 00 1657 75

You deposit 10 000 at 4 5 per year What is the balance at the end of one year if the interest paid is compounded quarterly Round to the nearest penny O 10 457 65 10 460 25 O 11 800 00

29 Given the histogram below for a set of data which statement is true Lidhn A For the set of data shown the mean and the median are about equal B For the set of data shown the mean is greater than the median C For the set of data shown the median is greater than the mean D For the set of data shown the relationship between the mean and the median cannot be determined

parachutist s speed during a free fall reaches 55 meters per second What is this speed in feet per second At this speed how many feet will the arachutist fall during 20 seconds of free fall In your computations assume that 1 meter is equal to 3 3 feet Do not round your answers Speed Distance fallen in 20 seconds ft 0 12

For the following function defined that is one to one write an equation for the inverse function in the form y f x and then graph f and f1 on the same axes Give the domain and range of f and f1 If the function is not one to one say SO f x 4 x x2 4 OA F x OB F x x 0 X20 C The function is not one to one O A 1 If the function is one to one graph f and f1 If the function is not one to one just graph f Choose the correct graph below The solid curve shows the graph of f and the dotted curve shows the graph of f1 if applicable B QU The domain of f is Type your answer in interval notation C D Ay

Sketch the graph of the polynomial function g x x 1 x 2 Choose the correct graph below A Ay OB Ay C OD

hich one is the graph of f x x What is its domain Which one is the graph of f x x Choose the correct graph below O A O E Ay Ay What is its domain Ly OB OF Ay Ay Type your answer in interval notation 57 O C G 17 O D OH

synthetic division to perform the division 8x 9x 6x 3 X 2 8x 9x 6x 3 X 2 H Simplify your answer BIE

Graph the polynomial given below by first selecting the number fo points that you will need then moving the points You will need a point fo reach a intercept and one for the y intercept x x 1 x 2 x 4 Provide your answer below Number of Points 5 10 5 0 5 5 10

Using synthetic division what is the quotient for 3x 3x 9x 11 x 1 If the remainder is non zero express the remainder term as a fraction using the divisor as the Provide your answer below

Solve the system by elimination 3x 5z 12 5x6y 20 5y3z 0 Express your answer as an ordered triple in the form x y z Provide your answer below

What is the domain and range of the function f x 2 4 Enter your answers in interval notation Provide your answer below

What is Q3 in the box and whisker plot below 07 21 3 2 W3 10 6 00 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24

Apr 24 12 02 48 PM Solve for all values of x given that 2x 3 is a factor of 2x 3 11x 2 14x 3

Find Q1 for the following set of data 5 6 7 8 9 10 11 O 5 5 6 6 5 07