Algebra Questions

1 Slope Write the point slope form of the equ slope 1 through 1 0 slope 5 A y x 1 4 B y 1 5x C y 4 x 1 D y 5 x 1 3 through 5 4 slope A y 5 x 4 5 B y 5 x 4 C y 4 x 5 D y 4 5 x 5 6 5

Suppose a polynomial function of degree 5 with rational coefficients has the given numbers as zeros Find the other zero 3 3 1 2i 2 The other zero is

ion of the line through the given point with the given 2 4 2 through 5 5 slope undefined A 0 x 5 B 0 x 5 C y 5 0 D y 5 0 4 through 2 1 slope 3 3 A y 2 x 1 5 B y 1 3 x 2 C y 1 x 2 3 3 D y 2 x 1

Find a polynomial function of degree 6 with 1 as a zero of multiplicity 3 0 as a zero of multiplicity 2 and 1 as a zero of multiplicity 1 The polynomial function in expanded form is f x Use 1 for the leading coefficient CASTE 100 S

1 3 0 5 0 3 Choose the correct polynomial SOA 14 3 45x45 OC f x x 14 3 f x x 5 5 IT OB OD 14 3 x x 12x2 x f x x x 5x 14 3 2

Write a polynomial function in standard form with real coefficients whose zeros include 2 6i and 6i A polynomial function with zeros 2 6i and 6i is f x x x x

Find a polynomial function of degree 3 with real coefficients that has the given zeros 2 3 5 The polynomial function is f x x x 11x 30

Complete the parts listed below for f x x 2x 9x 18 a Find all zeros of f x b Write the complete factored form of f x

12 Indiana Company began a construction project in 2024 with a contract price of 161 million to be received when the project is complete 2026 During 2024 Indiana incurred 35 million of costs and estimates an additional 84 million of costs to complete the project Indian recognizes revenue over time and for this project recognizes revenue over time according to the percentage of the project that has beer completed 01 26 29 Indiana Note Do not round intermediate calculations Present final answer in millions to 2 decimal places Multiple Choice recognized no gross profit or loss on the project in 2024 recognized 35 00 million loss on the project in 2024

5 10 Points https www webassign net web Student Assignment Responses submit dep 32224 PREVIOUS ANSWERS The graph of a function g is given range X DETAILS domain a Find g 4 g 2 g 0 g 2 and g 4 g 4 5 g 2 4 g 0 0 g 2 3 g 4 J 2 3 y 0 5 3 3 b Find the domain and range of g Enter your answers using interval notation 3 SALGTRIG4 2 3 008 MI X c Find the values of x for which g x 5 Enter your answers as a comma separated It

A theater has 38 rows with 24 seats in the first row 28 in the second 32 in the third and so forth How many seats are in the theater

Solve the system using elimination 10x 4y 14 25x 10y 35 Choose the correct answer below OA There are infinitely many solutions

Solve the system of equations using substitution y x 2 3x 3y 6 Select the correct choice below and fill in any answer boxes in your choices OA The solution of the system is B There are infinitely many solutions C There is no solution Type an ordered pair

Solve the system by the substitution method x 2y 8 y 3x 4 Select the correct choice below and fill in any answer boxes in your choic OA The solution is OB There are infinitely many solutions Type an ordered pair 1 here in no solution

her the following statement is true or false If r 0 1 there is a strong negative correlation between two variables Choose the correct answer below OA The statement is false because a value of r 0 1 means that there is no relationship between two variables B The statement is true because a value of r 0 1 means that there is a strong negative relationship between two variables C The statement is false because a value of r 0 1 means that there is a weak positive relationship between two variables A D The statement is false because a value of r 0 1 means that there is a weak negative relationship between two variables

9 Fill in the integer values of each square root on the number line 0 VI 10 5 Between 13 Between r line above to 4 ann and 9 Use the number line above to help determine the two positive integers each square roc between and 5 What two integers is 15 between Which integer is it closer to aproximate 15 to the nearest tenth 16 25 36 and 49 13 26 Between 11 59 Between and 20 64 and

Given a linear programming problem in the variables n with free variables Pk mk we write the standard form variabl 1 k 1 Pk Mk Xk 1 Xn Xn 1 n s where the final s variables are the slack variables listed in the same order as their corresponding constraints The linear programming problem can be put into the standard form minimize x1 subject to x1 X1 minimize The cost for your standard form solution is Is this solution to your standard form problem feasible No answer given 3x3 2x X2 X3 1 2x2 403 4 x1 x3 0 where in the last line we enclose the comma separated list of standard form variables in square brackets Is 0 1 2 a feasible solution to the original problem No answer given The cost for this solution is A corresponding solution to the standard form problem is the vector subject to 0

f x Identify any x intercepts and y intercepts in the graph of the function Identify the coordinates of any holes in the graph of the function State the equations of any asymptotes in the graph of the function Answer 7 def x x 6x 2x3 8x p

About the sequence x keZ we have the following a 1 EBx b for each t to b te b MKk b x 0 x 0 te t b t b k 20 k 1 c xk Z is uniformly Cauchy on t b t b verification of these properties is left for the reader We consider the uniform limit of the sequence x to 8 to 8 B x b C which is given by x t lim x 1 1 t b to b Thus x t lim x f s x s ds 5 8 8 de 1 2 x lim ff s x s ds x j Finally the validity of this integral equation has the following two implications X f x f s x s ds x 0 xo x f f s lim x s ds x ff s x s ds fo Thus the function tx 1 satisfying the integral equation x 1 x f f s x s ds for all 1 t b t b dt lim f s x s ds 0 ff s x s ds f t X t This now proves that the curve X 1 8 4 82 thus obtained is a solution of the initial value problem

5 At a restaurant the total bill and the percentage of the bill left as a tip is repres in the scatter plot percentage 32 28 24 20 16 12 8 4 8 12 16 20 24 28 32 total The best fit line is represented by the equation y 0 632x 27 1 where x represents the total bill in dollars and y represents the percentage of the bill left as a tip a What does the best fit line estimate for the percentage of the bill left as a tip when the bill is 15 Is this reasonable b What does the best fit line predict for the percentage of the bill left as a tip when the bill is 50 Is this reasonable

10 8 6 4 2 10 8 6 4 2 Slope 2 4 6 8 10 2 4 What is the slope of the graph Leave your answer as a reduced fracti 6 8 10 Identify the y intercept Write as a coordinate

Put the following equation in slope intercept form y 4 5g z x 8

Find an equation of the line that goes through the points 4 38 and 3 29 Write your answer in the form y mx b y

Find an equation of the line that has a slope of 6 and a y intercept of 0 5 Write your answer in the form y mx b y

Find the area of a triangle with sides of length 14 and 20 and included angle 27 degrees Round to the tenths

If Log 2 0 30103 Log 3 0 47712 and log 7 0 84510 then calculate 35 Log 28

A triangle lies between two parallel lines m2A 43 m2B 32 m2 1 B 2

2x 4 3 Find fog 2 and f g 2 Let f x and g x 3x 3

Use a calculator spreadsheet or another tool to solve for the unknown sides of the given right triangle The length of the hypotenuse is 13 a is the length of the side opposite the 10 angle and b is the length of the side opposite angle B a a Round your answers to four decimal places Number B 13 b 10

Use the graphs of f x and g x below to fill in the blanks that follow f g 0 fg 2 f g 3 f g 4 G g 4 W 4 20 2 671 6 0 If 4 6 X

Use a calculator to find a decimal approximation of cos 3 sin 3 Round to four decimal places as needed 22 cos 3 sin 3 Simplify the expression first

Question Use a calculator to find a decimal approximation for each value cot 264 26 cot 264 26 Simplify your answer Round to seven decimal places as needed

Use a calculator to evaluate the expression cos 35 sin2 35 cos 35 sin 35 Simplify your answer

17 1 4 1 3 2 10 2 Write an equation for the proportional relationship shown below 2 2 1 8 3 3 2 9 3 3 Write an equation for the proportional relationship shown below 15 4 3 2 12 9 6 6 18 4 4 Write an equation for the proportional relationship shown below 20 10 4 5 16 12 10 8 30 5 Write an equation for the proportional relationship shown below 10 50 12 6 21 14 5 20 15 45 12 60 20 10 30 20

Find the exact values of the six trigonometric functions 690 1 Question 12 2 2 29 Part 3 of 6 the angle cos 690 Points 0 17 of 1 sin 690 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators 3 2 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators tan 690 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationalize all denominators

Question 2 2 3 13 Use a calculator to find a decimal approximation for the following trigonometric function sec 22 42 sec 22 42 Simplify your answer Type an integer or a decimal Round to seven decimal places as needed

Question 9 2 2 19 Part 2 of 6 Find the exact values of the six trigonometic functions for the following angle 45 sin 45 2 2 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationaliz cos 45 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression Rationali

Amount of Commission 5 0 Commission on Purchases 80 6 Amount of Purchase 5 1 What information do you see on the axes of the graph What relationship is being shown JF Y 2 Construct a table for the relationship 3 How do you know that the relationship in the graph above is proportional 4 What is the rate of change shown in the graph above 5 If a salesman wants to earn 90 in commission how many purchases would they have to oversee 6 If a salesman sells 800 worth of goods how much money would they earn in commission

d e c 10 0 15 5 a b X y 5 ful for you An example of a table has been provided for line a Anch of the lines shown below You may make a table if that Y x 5 2 5 or 2 5 2 FIVE LINES GRAPH b a 10 0 0 15 2 5 20 4 10 6 15 equation y 2 5x or y 5 x 2

Evaluate the expression 2 tan 2120 5 sin 150 cos 180 2 tan 2120 5 sin 2150 cos 2 180 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Evaluate the expression sin 2225 cos2225 sin 2225 cos2225 Simplify your answer including any radicals Use integers or fractions for any numbers in the expression

Jamilla was moving to a new city She researched the rates charged by the local utility company for water She found the listing of charges below She expects that her family may use up to 1 000 cubic feet of water each month 12 70 monthly service fee First 300 cubic feet of water used 3 90 per 100 cubic feet or fraction thereof After the first 300 cubic feet 5 20 per 100 cubic feet or fraction thereof a Sketch a graph of the cost of Jamilla s possible water usage in one month Be sure to consider what the cost would be for partial units such as 220 or 675 cubic feet of water Hint a This will be a step graph What is the cost if no water is used but there is service More Help a When sketching this graph note that the price jumps from 3 90 to 5 20 after 300 cubic feet of water is used b Is this graph a function Why or why not CHint b c What are the domain and range of this graph

total cost in dollars 60 50 40 10 70 30 20 Part 2 A 10 20 30 40 50 square feet of carpet 60 70 1 Create a table of the values shown in the graph at left 2 What is the cost per square foot of carpet 3 Write an equation for the cost y of x square feet of carpet 4 If an apartment is 800 square feet how much would it cost to put in carpet 5 If a roll of carpet costs 600 how many square feet is it 6 An apartment has 3 rectangular rooms The living room measures 20 feet by 30 feet the bedroom measures 15 feet by 20 feet and the kitchen measures 10 feet by 40 feet If the owner wanted to put carpet in the living room and bedroom how much would it cost

Water used gal 50 40 30 20 10 O 2 Water Use refer 6 8 10 Partner Practice 1 Construct a table for the relationship between time and water used X y 2 How much water is used each minute Time min 3 Write an equation for the relationship between the time and water used 4 How much water would be used in 30 minutes 5 If 300 gallons of water were used how much time would it take 6 How many gallons of water would be used in 2 and a half hours

4 Given the four different brands of dish soap below which brand costs the least per ounce Dish Soap Prices Brand Lots of Suds Bright Wash Spotless Soap Lemon Bright Price 0 98 for 8 ounces 1 29 for 12 ounces 3 14 for 30 ounces 3 45 for 32 ounces 0 122 0 10

4 Equation X y 2 4 6 6 8

Scenario 2 The number of hours that it takes Angie to read a book is directly proportional to the number of pages of the book It takes Angie x hours to read y pages The equation that represents the relationship is y 30x 1 How long would it take Angie to read a book that contains 360 pages l hars 2 How many pages could Angie read in 10 hours 300 Pages 3 If Angie has 4 books with an average of 175 pages each how long would it take her to read

Part 2 Using Unit Rate to Make Comparisons 1 Jean sells M Ms to friends at 4 for 5 cents The machine at the store sells 9 for 25 cents Which is the better deal 2 The hardware store sells 4th of July sparklers for 19 cents each The fireworks stand charges 85 cents for four Where would you purchase sparklers The 3 Frosted Flakes has 11 grams sugar per ounce and Raisin Bran 13 grams per 1 4 ounces Which cereal has more sugar per ounce

Fill in the blanks so the resulting statement is true A measure that is used to describe the strength and direction of a relationship between variables whose data points lie on or near a line is called the r COL A measure that is used to describe the strength and direction of a relationship between variables whose data points lie on or near a line is called the to r ranging from r ranging from r causation coefficient regression line correlation coefficient regression coefficient to

7B HW The scatterplot provided shows a set of data Choose the best description for the trend of the data Choose the correct answer below O A increasing linear OB U shaped OC decreasing linear O D exponential Ay 24 20 16 12 8 4 0 0 N 2 A 4 6 8 X 10 Q