Algebra Questions

Identify and estimate the x and y values of the extrema Round to the nearest tenth if necessary y O X

Terry is skiing down a steep hill Terry s elevation E t in feet after t seconds is given by the equation E t 2200 40t Complete the following sentence describing Terry s starting elevation and how it is changing over time He is starting from a height of feet and is skiing downhill at a speed of numbers Note to get the problem correct you must provide the correct answer to every part per E

Graph the line that passes through the point 4 5 with a slope of Give an equation for this line What is the y intercept for this line Y use exact numbers no decimals give your answer as a point use exact numbers no decimal

Fernando is walking home from a friend s house at a constant speed After 4 minutes he is 2 miles from home 14 minutes after leaving he is 1 2 miles from home What is his rate in miles per hour mph mph help numbers

Find a linear equation having a Intercept at 1 0 and y intercept at 0 1 f x help formulas

Find a linear equation satisfying the following f 1 13 and 5 41 f x help formulas

Write an equation for the line parallel to g x 6x 4 and passing through the point 4 3 Write the answer in slope intercept form help equations

Question 1 of 20 What is the value of the y coordinate of the y intercept of the function shown below x 3x 5x 4

Sales of SUVS sport utility vehicles in the United States in millions for the years 1990 1999 can be modeled by the quadratic equation shown below y 0 016x 0 124x 0 787 Here x 0 represents 1990 x 1 represents 1991 and so on Use the model to approximate sales in 1998 Sales in 1998 were approximately million SUVS Round to the nearest tenth as needed

Question 2 of 10 The equation for a projectile s height versus time is h t 16t Vot h A tennis ball machine serves a ball vertically into the air from a height of 2 feet with an initial speed of 130 feet per second Which equation correctly models the ball s height as a function of time A h t 16t 2t 130 h t 16t 130t 2 c h t 16t 2t 130 D h t 16t 130t 2 OB SUBMIT

Only one of the equations is set up so that the values of a b and c can be determined immediately Which one is it Solve it Choose the correct equation below which is set up such that the values of a b and c can be determined immediately OA 5x 34x 7 0 OB 3x 4 7 OC x x 2 D 5x 1 x 1 0

Solve the equation by the zero factor property w2 12w 32 0 The solution set is Use a comma to separate answers as needed

Francisco claimed that the equation x 8x 0 cannot be solved by the quadratic formula since there is no value for c Is he corre Select the correct choice below and if necessary fill in the answer box to complete your choice A He is incorrect because c OB He is correct

Identify the number as real complex pure imaginary or nonreal complex More than one of these descriptions may apply Select all descriptions that may apply A Real B Complex C Pure imaginary Nonreal complex

oblem 9 Consider the following matrix Find a matrix P that diagonalizes A 0 1 A 1 1 1 0 G 0 1 1 1 1 1 0 B 0 0 0 1 01 D 0 0 1 1 E 0 1 1 0

oblem 2 a Find the determinant of the following matrix A 1 2 B 02 3 10 10 Iww 4 1 2 3 3 2 2 NOTM om mo 1 0 1 3 b Find the determinant of the following matrix 0 0 3 3 0 COO 0 0 0 0 0 0 4 0 3 4 2 4 0 2 Hint Do a row operation first

f x 7x 3 p x 2x x 7 0 quotient remainder Need Help Submit Answer P x m r p m x iven p x sing interval notation 12 Read It X Watch It 1 and m x x 1 state the domain of each of

Problem 8 Consider the following matrix Given that 0 is an eigenvalue of A find a basis for the eigenspace corresponding to 0 00 00 00 00 00 06 D A G AB B

Problem 7 Consider the following matrix A whose 2nd and 3rd rows are not given and vector x A 6 8 X Given that x is an eigenvector of the matrix A what is the corresponding eigenvalue

Problem 10 Suppose that a 2 2 matrix A has eigenvalues 1 and 0 with corresponding eigenvectors H respectively Find 4 and

4 Jupiter weighs 1 898 000 000 000 tons If 1 0 ton is equal to 2000 lbs and 2 5 lbs equals 1 0 Couric How much does Jupiter weigh in Couric

Using the graph to the right if f x 0 determine the values of x Select all that apply A 4 B 1 C 2 D 8 E O GELEE 10 B B 6 421 4 20 B 10 Q Q G

A a d L8 a b C C e h Suppose that det 4 5 Let B be another 3 x 3 matrix not given here with det B 6 Find the determinant o each of the following matrices f i a 4g b 4h c 4i b D 3A BT c E BA4 d F adj B 5d g h 5e i 5f

Problem 5 Let A and B be nxn matrices Which of the following statements are always true i If det A det B then det A B 0 ii If A and B are symmetric then the matrix AB is also symmetric iii If A and B are skew symmetric then the matrix AT B is also skew symmetric A ii only B i and iii only C iii only D all of them E i and ii only F none of them G ii and iii only H i only

Hid CL

Problem 6 Find the eigenvalues of the following matrix 5 A 0 1 2 5 2 0 5 1

Problem 1 Find the values of a b and c so that det A ax bx c A 1 3 2 3 0 2 2

Solve for x x 16 x 4 O no solution O x 9 O x 8 O x 0 or x 9

Solve for x 8x 9 x 3 O x 0 or x 2 O x 0 or x 2 O x 2 or x 3 O x 3 or x 2

Solve for b a b c 3 O b 9 a c O b 9 a c O b 3 a c O b 3 a c

Solve for x x 3 6 O 3 O 9 O 33 O 36

Using complete sentences and correct mathematical terminology answer the following questions A gardener noticed a rainbow through the arch of the stream of water while he was watering his garden He wondered the height of the rainbow and decided he could use the stream of water to determine it The time t the water is in the air is measured in seconds and the water s height w t is measured in inches above the ground The function that represents this relationship is w t 4 9t 15t 23 1 Correctly interpret the following calculations within the context of the given scenario above i w 0 4 9 0 15 0 23 23 h ii a 4 9 b 15 15 2 4 9 2a C 23 1 53

Mazsolate Mean 82 Median 84 Mode 78 alculate the upper and lower boundary for possible outliers Press nach hotspot Label the corresponding number below with the data or calculation Veasure of Dreven Range 30 IQR 40 65 68 74 78 78 78 84 84 88 89 91 94 95 IQR Outliers Median 1 5

Find the amplitude the period any vertical translation and any phase shift of the graph of the following function y 6 sin x What is the amplitude of the function 1 Type an integer or a simplified fraction What is the period of the function C T Simplify your answer Type an exact answer using x as needed Use integers or fractions for any numbers in the expression What is the vertical translation of the function Select the correct choice below and fill in any answer boxes within your choice A The vertical translation is 6 unit s Type an exact answer using x as needed Use integers or fractions for any numbers in the expression B There is no vertical translation What is the phase shift of the function Select the correct choice below and fill in any answer boxes within your choice A The phase shift is unit s to the left Type an exact answer using as needed Use integers or fractions for any numbers in the expression OB There is no phase shift

Find the amplitude the period any vertical translation and any phase shift of the graph of the following function T 5 y 6 sin 2x What is the amplitude of the function 1 Type an integer or a simplified fraction What is the period of the function 7 Simplify your answer Type an exact answer using as needed Use integers or fractions for any numbers in the expression

Factor each completely 1 27r 36r 96 3 20n 58n 42 5 100a 180ab 81b 7 8x 32xy 32y 9 125x 216y 11 125a ab 2 20x 58x 42x 4 406 10b 15 6 12n 3m n 8 324y x 400x y 10 2yx 128y4 12 343u 3

Graph the following function using a graphing utility then use the minimum feature to obtain the minimum value 19 X f x x 1 X 0 Which graph shown below is the graph of f x as displayed on a graphing utility All four graphs use the limits 0 6 1 by 0 30 5 O A Q O B Q O C O D Q Q

Analyze the graph of the function 2 24x 35x 49 2 3x 25x 42 R x a What is the domain of R x 7 O A xlx 0 x and x 6 3 O B xx and x 6 O C 7 7 xx 0 x and x 6 8 D All real numbers

Analyze the graph of the function 2 X X 90 2 x x 72 R x a What is the domain of R x O A xlx 9 and x 8 O B xlx 0 x 9 and x 8 OC xlx 0 x 10 x 9 and x 8 number

Which rational function has the given graph O A 2x R x 2 of the X 9 O C 2x R x 2 x 9 LN O B O D R x Eco 2x 2 X R x Q 37 2x 2 X 9

Write the radical expression using negative exponents 1

the rest were trucks How many trucks visiting Lana s Car Wash on Saturday TYPE THE NUMBER ONLY Question 4 15 pts

Mr Sanchez is making punch for a party using a recipe that calls for 4 cups of seltzer for every 6 cups of lemonade If he wants to make a total of 120 cups of punch how many cups of seltzer will he need O48 cups of seltzer O 300 cups of seltzer O200 cups of seltzer O 72 cups of seltzer Question 6 15 pts

Melissa plants pink and orange flowers along the driveway to her house She plants these flowers in a ratio of 3 pink to 1 orange If she plants a total of 48 flowers how many pink flowers does she plant O 16 pink flowers O 144 pink flowers O 36 pink flowers O 12 pink flowers

Write the radical expression using negative exponents 1 8

2 A taxi charges a flat rate of 1 75 plus an additional 0 65 per mile If Erica has at most 10 to spend on the cab ride how far could she travel 2 33 Chris wants to order DVD s over the internet Each DVD costs 15 99 and shipping the entire order costs 9 99 If he can spend no more than 100 how many DVD s could he buy 4 4 Allison practices her violin for at least 12 hours per week She practices for three fourths of an hour each session If Allison has already practiced 3 hours this week how many more sessions remain for her to meet or exceed her weekly practice goal 55 Pet Supplies makes a profit of 5 50 per bag on its line of natural dog food If the store wants to make a profit of no less than 5225 how many bags of dog food does it need to sell

An electronics store sells DVD players and cordless telephones The store makes a 75 profit on the sale of each DVD player d and a 30 profit on the sale of each cordless telephone c The store wants to make a profit of at least 255 00 from its sales of DVD players and cordless phones Which inequality describes this situation a 75d 30c 255 b 75d 30cs 255 c 75d 30c 255 d 75d 30c2255

6 Ryan is a wrestler trying to make weight He currently weighs 200 lbs If he cuts 2 lbs per week weeks will it take him to weigh less than 175 lbs 7 7 Tom is deciding whether or not he should become a member gym to use their basketball courts The membership cost is 135 Members pay 2 to rent out the basketball courts Non members can rent the court also but they have to pay 11 each time how many times would Tom need to rent the court in orde for it be cheaper to be a member than a non member 8 Solve each inequality and graph its solution 8 24 6k 6 4 k 4 9 10 11 12 13 14 15 16 17 18 19 010 4 4 7x x 6x 5 4 3 2 1 0 1 2 5 6 9 11 9 2n 40 5 6 n 7n 7 6 5 4 3 2 11 7 4 x 42 18 7x 10 8 6 0 1 4 2 0

decided to reduce heat costs by installing new storm windows and adding insulation Anthony s parents offered him 10 for every storm window he installs and they owe him 25 for spreading the insulation He wants to earn more than 200 Write and solve an inequality to find out how many windows he must install Click on show your work to type or write ir work V

Twice a number increased by 5 is greater than 3 times the number deceased by 7 Write and solve an inequality to find the highest possible integer solution Type a response