Quadratic equations Questions and Answers

10 If you were to take what you would have spent playing the lottery at 200 per mc for 10 years and invested that amount as a one time investment at a 12 rate of re how much would you earn after 20 years 30 years Hint Enter the one time investment amount in the How much have you saved for retirement box and 0 in the How much will you contribute monthly box One time investment

Below is the graph of f x x3 2x 5x 1 3 Identify the following Domain Range 2 Approximate the x intercept s y intercept s 8 10 12 XA Describe the end behavior of the graph by completing the following statemer As x f x As x f x

5 If you spent 200 per month on lottery tickets and you were very lucky and won 100 000 once every 10 years what would be your net wealth after 40 years

Which graph represents an odd degree function with a positive leading coefficient A B O A only OB only 5 31 124 QUESTION 5 d 2 3 4 5 3 NET Both A and B ONeither A nor B XA 31 1 3 2 14 2 31 NO 2 x

108 6 2 0 5 Shown below Which x value represents zeros with multiplicity 2 X DETE DE MEJO QUESTION 9 Consider the polynomial function p x 2x 3x2 Without graphing the function which is a characteristic of the graph and the right hand side approaches O The left hand side approaches The left hand side approaches and the right hand side approaches Since the leading coefficient is 2 at least one of the zeros has multiplicity 2

Thursday State the domain of the function f x 2x 4 1 Domain State the domain of the function f x 3x 9 5 Simplify the expressions Assume all variables are positive 8x6y15 Simplify the expressions Assume all variables are positive 16x24y12 NON 60m OHOS AD 07

21 23 X f x 2 2 4 f x 2 1 1 3 1 0 2 2 0 1 5 1 1 2 10 0 2 22 24 X f x f x 0 5 1 PO 1 0 12 7 2 5 2 4 3 10 3 3 4 15 4 4

werse of the function Then graph the function and its inverse See Example 2 0 f x 3x 11 f x 2x 5 12 f x 6x 3 f x x 1 15 f x x 1 16 f x x

in Exercises 19 24 determine whether the function is invertible or non invertible See Example 3 19 1 2 2 X 20 2

In Exercises 1 8 solve y f x for x Then find the input s when the output is 3 See Example 1 1 f x 3x 5 3 f x x 3 4 0 2 x 7x 2 5 f x 3x AND LalcYiew 6 f x x 1 7 f x x 2

In Exercises 25 38 determine whether the function is invertible If so find the inverse See Example 4 25 f x x 1 26 f x x 3 27 f x x 3 29 f x 2x 1 28 f x x 2 1 30 f x 2x 5

Given tan A and that angle A is in Quadrant IV find the exact value of 35 sin A in simplest radical form using a rational denominator

An ellipse has endpoints of its axes at the points 4 3 4 3 0 5 and 0 11 Give the equation of the ellipse

Solve logo 12x 3 loge 8 logo 2 I If the answer is radical use sqrt 5 to denote 5 use the correct radicand in the proble If the answer is a fraction then write the answer as a reduced fraction

Choose the graph of y log z 2 O O KEITT tus 8 2 6 TE Q O O TER 3 fo J 4 to q

Use the like bases property to solve the equation 100000 10000

Solve the following exponential equation Round your answer to three decimal places e 5 X

single logarithm Express coefficients as powers inside the logarithm Write as a 8 ln z 4 ln y 9 ln z

Choose the graph of y logs 3 2 O O 5 54 3 9 2 2 9 4 3 27 t 6 5 4 3 2 7 2 3 s 4 5 12 RE 56 O O 6 54 3 2 9 Sm 6 5 4 3 2 1 21 17 2 3 4 5 1 2 3 4 5 b

Choose the graph of y log 2 1 O O 34 4 P 4 4 6 C O O E 44 6

Graph the function y 2 10 9 8 7 6 5 4 3 2 1 3 2 1 Clear All Draw Question Help D Post to forum 2

11 11 1 11 11 1 J 10 087 9 8 6 5 4 3 P 10 9 8 7 6 5 4 3 2 11 142 4 2 1 3 15 5 6 6 R co x 1 2 3 4 5 6 7 8 9 10 Write the standard equation for the hyperbola graphed above

The heat loss of a glass window varies jointly as the window s area and the difference between the outside and inside temperatures A window 2 feet by 6 feet loses 1200 Btu per hour when the temperature outside is 40 colder than the temperature inside Find the heat loss through a glass window that is 3 feet by 12 feet when the temperature outside is 20 colder than the temperature inside The heat loss is Btu per hour Type an integer or a decimal Show Transcribed Text Sound intensity varies inversely as the square of the distance from the sound source If you are in a movie theater and you change your seat to one that is five times as far from the speakers how does the new sound intensity compare with that of your original seat How does the new sound intensity compare to that of your original seat OA The sound intensity is of what it was originally B The sound intensity is five times what it was originally OC The sound intensity is 25 times what it was originally 1 of what it was originally The sound intensity is

The admission fee at an amusement park is 2 50 for children and 5 00 for adults On a certain day 362 people entered the park and the admission fees collected totaled 1330 How many children and how many adults were admitted number of children equals number of adults equals

Find the probability of exactly two successes in six trials of a binomial experiment in which the probability of success is 65 P Round to the nearest tenth of a percent Enter

4 The graph represents the function f x 3 5 Use the graph to solve the equation 3 5 14 5 Using the same graph find the value of x when f x 1 6 Use the graph to find the input value when the output is 1 4 3 2 1 9 8 7 6 10 5 4 3 2 0 1 1 2 3

A movie theater has a seating capacity of 183 The theater charges 5 00 for children 7 00 for students and 12 00 for adults There are half as many adults as there are children If the total tick sales was 1324 How many children students and adults attended children attended students attended adults attended

16 Solve the equation below 1 4 k 1 2 2k k k 2

Solve the equation below 1 2 n 4 n 2 2 n 6n 8

Find each sum or difference 4 2 15v 15v 11

Solve the equation below x 1 x 5 3x X 2x 9 4x

2 e s k 13k 40 k 2k 35 S S 90091 1 2 nib 10 3

A 5000 seat theater has tickets for sale at 25 and 40 How many tickets should be sold at each price for a sellout performance to generate a total revenue of 144 500 The number of tickets for sale at 25 should be The number of tickets for sale at 40 should be

Which of the following systems of linear inequalities has no solution Select all that apply Jy 2 3 r y 4 0 Jy25x 7 2x 3y 4 3x y 5 2x 2y 8 4x 2y 8 72 11 062 8y 8 3x 4y 20 4y1 3 x

Solve the given system using the elimination method Answer Number 3x 4y 2x 3y 5 Write answer as ordered pairs with the x coordinates in increasing order Number and Number Number

You are choosing between two health clubs Club A offers membership for a fee of 21 plus a monthly fee of 20 Club B offers membership for a fee of 18 plus a monthly fee of 21 After how many months will the total cost of each health club be the same What will be the total cost for each club in months the total cost of each health club will be the same The total cost for each health club will be

The vertex of a graph of a quadratic function is 4 3 The y intercept is 0 2 Find another point on the graph Justify your answer

1 Use transformations of f x to graph g x 2 Select the correct graph OA X O B 1 x 7 O C Q O D

termine whether the infinite series converges or diverges jk 6 k 1 5 lect one O a The series diverges O b The series converges 1511

Let V P r and define f g 2f 0 g 0 f 1 g 1 3f 2 g 2 a Prove that this is an inner product You may use the fact that a quadratic poly nomial with three roots must be zero

The function f x 6 5x 52 5x 941 models the pH level f x of a mouth x minutes after 145 eating food containing sugar The graph of this function is shown to the right Complete parts a through e pH Level of the Mouth 12 24 36 48 Number of Minutes after Eating 60 A a Use the graph to obtain a reasonable estimate to the nearest tenth of the pH level of the human mouth 42 minutes after a person eats food containing sugar The pH level after 42 minutes is Round to the nearest tenth as needed

Question 8 Write the equation of an ellipse in standard form and identify the end points of the major and minor axes as well as the foci x 5 y 7 9

It is the average wer Answered 2 Points f x 0 16 6 7x 4 Keyboar

Use the properties of logarithms to expand the logarithmic expression In X 48 X

c 10 8 m 10 8 8 M 6 m 244 4 6 1 2 e 16 2 4d 8 16 16 2 4d 8 2 Ad 2 4d 2 4 2 24 s E Simplify Simplify Select Belacion Simplify Simplify Select Simplify Select e

Find the centroid of the shape shown about the center a X 1 Y 0 O b X 0 Y 0 O c X 1 Y 1 d X 1 Y 1 8 in R 3 6 in 10 in

b Syphilis Google Docs Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality y 3 4 Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality 8m 16 Addition Property of Equality Division Property of Equality Multiplication Property of Equality Subtraction Property of Equality d n 11 Addition Property of Equality Division Property of Equality Multiplication Property of Equality perty of Equality

Approximate the circumference C of each circle Use 3 14 for Round your answers to one decimal place a C b C 160 cm 278 cm

Find two irrational numbers between each pair of real numbers a 1 7 3 and 5 VI and V4 5 and 5 OV3 and 3 3 and 5 b 3 10 4 O and 25 and 3 O and O and O c Vand 17 5 9 25 0 12 0 8 0 2 and 0 2 V0 1 and 0 2

Solve each equation Show your work and justify each step a 4x 3 19 4x 3 3 19 4x c 4 4 X b 7d 1 20 7d 1 1 20 7d 7d 7 4 4 16 21 10 8 m 10 8 8 Select Simplify Select Simplify Select Simplify Select Simplify M Select Simplify Selecio