Quadratic equations Questions and Answers

Find the difference quotient f x h f x h for the function given below f x 6x 6 Give a simplified expression involving x and h if necessary For example if you found that the difference quotient was x h you would enter x h Provide your answer below

Consider the function f which is a one to one function with values f 3 2 and f 4 8 Which of the following must be true Select all correct answers Select all that apply Df 8 3 Of 2 8 Of 3 2 Of 2 3 f 8 4 4 8

A certain loan program offers an interest rate of 3 compounded continuously Assuming no payments are made how much would be owed after years on a loan of 3300 Do not round any intermediate computations and round your answer to the nearest cent

Plot the point with the given polar coordinates 2 3 3 2 Choose the graph below that represents the point 3 3 O A Ay X Q Q Ly O B X O C O D Q Q G

Diane has a rectangular poster The poster is 1 2 meters long and 0 75 meters wide What is the area of the poster in square centimeters Do not round your answer Be sure to include the correct unit in your answer 0 cm X cm cm

This problem concerns the vector space P2 of all polynomials p RR of degree at most two a 6 points Write down a subspace S of P2 such that S 0 and S P2 Find also a subset B of P2 such that span B S Show the details of your work

11 12 Convert hours to minutes Enter your answer as an hours minutes integer or a reduced fraction

A sample is obtained from a population by grouping people according to age and then randomly selecting 5 people from each group What type of sampling technique is this O Systematic O Stratified O Random Cluster

Fill in the blank with an appropriate The probability of event E2 occurring given that event E has happened is called a n The probability of event E2 occurring given that event E has happened is called a n probability probability theoretical empirical conditional binomial

There are 28 students in a class How many different ways can groups of 4 be formed O 10 626 O 106 491 400 20 475

Complete the trinomial so that it is a perfect square Then factor the trinomial x 10x Find the missing term that completes the square x 10x Simplify your answer Type an integer or a fraction The trinomial factors to

Dirt must be excavated for the foundation of a building 36 yards by 11 yards to a depth of 8 ya How many trips will it take to haul the dirt away if a truck with a capacity of 4 cu yd is used trips are required to haul the dirt away

Use a calculator to approximate the square root 12 12 Round to three decimal places

Maria takes out a 10 000 loan for 18 months from a credit union at a rate of 4 compounded weekly Which form below will correctly give how much money she will pay in total at the end of the 18 months O 10 000 1 0 016 18 O 10 000 1 0 04 52 18 O 10 000 1 0 04 1 5 52 10 000 1 054 0 04 52 1 5

When computing interest time must be in years Convert 3 months to years 0 5 0 25 0 3 0 75

And here s another free question Be sure to click on the Click here answer choice below to receive Click here O Nope Click the other answer choice

e 11th and 12th Fibonacci numbers are 89 and 144 What is the 10th Fibonacci number 55 233 117 288

Identify the x and y intercepts of a line creade eluation for x y Example 9 Example 8 4x2y 16 4x 16 2y 16 x intercept y intercept 3x 2y 18 3x 18 2y 18 x intercept y intercept Example 10 5x 4y 40 5x 40 key x intercept y intercept

Suppose two cards are drawn randomly What is the probability of drawing two red cards if the first one IS replaced before the second draw Assume the first card drawn is red Show your answer as a 1 fraction in lowest terms Enter the denominator

A frog is sitting on a stump 24 feet above the ground It hops off the stump and lands on the ground 8 feet away During its leap its height h is given by the equation h 0 5x x 24 where x distance in feet from the base of the stump and h is height in feet How far was the frog from the base of the stump when it was 19 06 feet above the ground The frog was feet away Simplify your answer Type an integer or a decimal Round to the nearest tenth if needed

Find the equation of a sphere with radius r and center Po r 1 Po 2 5 3 Type your answer in standard form

Find the radius and center of the sphere Hint Complete the square in each variable 2x 2y 2z 12x 12z 13 r Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression

Find a unit vector normal to the plane containing u 3i 2j 2k and v 2i 2j 3k A unit vector normal to the plane containing u and v is ai bj ck where 0 b and c Simplify your answers including any radicals Use integers or fractions for any numbers in the expression a

a Find the dot product vw b find the angle between v and w c state whether the vectors are parallel orthogonal or neither v 3i j w i j a v w Simplify your answer Type an exact answer using radicals as needed b The angle between v and w is Type your answer in degrees c Are v and w parallel orthogonal or neither A parallel B orthogonal 06 neither

The letters r and 0 represent polar coordinates Write the given equation using rectangular coordinates x y r 3 cos 0 Complete the general form of the equation using rectangular coordinates 0

The letters x and y represent rectangular coordinates Write the given equation using polar coordinates r 0 2x 2y 9 Select the correct equation in polar coordinates below O A O C r r 9 2 9 2 cos 0 sin 0 OB 7 OD 2 9 2 cos 0 sin 0 96 2

Find the exponential function that is the best fit for f x defined by the table below 5 85 X y 1 3 2 7 3 15 4 33 y 0 Use integers or decimals for any numbers in the expression Type an integer or decimal rounded to thousandth as needed

John completed his first college class His grade breakdown looks like this Category Test Class Participation HW Final Exam 100 Score 84 95 90 68 What is John s overall grade in the class 84 25 82 6 2065 Category 40 10 25 25

3 The graph of f x is shown below Write the inverse of the function graphed below using the f x notation 10 10 N to 10 S 10

The one hour record is the farthest distance travelled by a bicycle in 1 hr The table below shows the world record distances and the years they were accomplished Year 1996 1998 1999 2002 2003 2004 2007 2008 2009 Distance km 78 04 79 14 81 16 82 60 83 72 84 22 86 77 87 12 90 60 Answer the following questions in the table below 1 Would the data be best modeled by a linear quadratic or exponential equation 2 Write the equation of best fit for the data in the table 3 What might be the record distance for a bike to travel in an hour in this year 2020 1 2 3

Replace 7 5 with or to make a true stateme 17 12 2 Complete the statement F1

The distance from a planet to its moon is approximately 236 000 mi If a spacecraft travel how many hours would the spacecraft need to travel from the planet to the moon Use distance rate x time The spacecraft would need Type an integer or a decimal hours to travel from the planet to the moon

K Find the slope of the line and write a sentence explaining the meaning of the slope as a rate of change Attach the proper units The graph approximates global sales and rentals y in billions of U S dollars of Blu ray DVD format movies for year x Sales and Rentals of Blu Ray DVD Movies Billions of U S dollars 30 SO505 25 20 15 10 2014 19 1 2014 2016 2018 9 5 2018 Year 2020 2022 OU The slope of the line is m Type an integer or a decimal Select the correct choice below and fill in the answer box within your choice Type an integer or a decimal OA Every 1 year the global sales and rentals of Blu ray DVD movies decreases by 2 4 billion OB Every 4 years the global sales and rentals of Blu ray DVD movies decreases by S billion OC Every 4 years the global sales and rentals of Blu ray DVD movies increases by S billion OD Every 1 year the global sales and rentals of Blu ray DVD movies increases by S billion ew by SAT 10 17

On the graph below which circuit is produced by using the Nearest Neighbor Algorithm starting at vertex A A 8 3 A B C A A B C D A A C B D A A B D C A

Express the number in decimal form without exponents 7 4 104

in the blank with the appropriate principal or positive square root of a number n written n is the positive number that when mult gives n e principal or positive square root of a number n written n is the positive number that when mu gives n itself a rational number I

Express the number in decimal form without exponents 2 3 x 104

meen median mode 3 34 3 2 21 1 233 123 meen 32 MIN median W V 1 2 5 3 mode va 2 4 2

A S D which of the following represents exponetiol decoy and have a y intercept of 27 x 1 2 0 95 B x 2 3 functions x 2 y 22 2

y x 2 X verticle symptole occur 7 7 r 7 2 2 horizontal asymptole occurs at 7 7 2 2 1 1 0 7 1 0 2 at

Find the minimum or maximum value of the function f a 10x x 7 Give your answer as a fraction

etermine the implied domain of the following function Express your answer in interval notation 7x 7x x 8x 7 h x

Solve 322 2 9 0 algebraically Write the solution in interval notation If there is no solution type Note Use the Usymbol not the letter U found on the keyboard below if applicable Provide your answer below

Find the axis of symmetry and vertex for the parabola y x 4x 3 Provide your answer below Avis of s

etermine the value of real non zero parameter a for which the system of equations 3x decimal number round non integer value to two decimal places 1 and 1 x 1 has no solution in the domain of real numbers Write the solution

Ms Stephen 12 Solve for all the zeros of the following function f x 2x 11x 20x 7 12 pts a List all the possible rational zeros b Use Synthetic division to find a zero IDA c Use factoring OR the quadratic formula to solve for the other 2 zeros Degren d List all the zeros x X 2 7 8 X13

Given the parent function f x 2 how would the function g x 4 2 x 3 compare to f x g x is the same as f x vertically compressed by a factor of to the x axis and translated right 3 units g x is the same as f x vertically stretched by a factor of 4 from the x axis and translated right 3 units g x is the same as f x vertically compressed by a factor of to the x axis and translated left 3 units g x is the same as f x vertically stretched by a factor of 4 from the x axis and translated left 3 units Question 8 12 5 points Given the graph of the parent function is f x k f x cy 2 3 g x 3 x 21 4 g x 3 x 21 4 C Which function below correctly describes the graph of g x g x x 21 4 8 x x 21 4 g x 43 2

Identify the end behavior of the polynomial function f x 3x 3x 4 Hint It may help to graph the polynomial function with your calculator first As x decreases the function f x increases As x increases the function f x increases As x decreases the function f x increases As x increases the function f x decreases As x decreases the function f x decreases As x increases the function f x increases As x decreases the function f x decreases As x increases the function f x decreases

A person was monitoring how fast the pressure of a tire dropped after it was punctured by a nail They noticed that the air pressure could be modeled by P t 35 0 97 where the time t was measured in minutes after the nail puncture and P t represented the pressure in PSI Which of the below would be the best description of the domain of the function 20 O 00 s 0 1 35 any integer greater than Q 390 25 20 15 10 2 8 100

Given f x is graphed below What is the RANGE of g x 5 4 3 2 1 g x 4 g x 3 S g x 1 2 1 x 2 5 All Real Numbers 9