Algebra Questions

1 Given the function f x 2x 3 find f 9 Show calculations 2 Given the function g x 2x 1 3 3 Given the functions f x 4x 5 and g x 4x 5 show that the function f x g x is constant for all the value 1 find g 5 Show calculations

In a volcano erupting lava flows continuously through a tube system about 16 kilometers to the sea Assume a lava flow speed of 0 5 kilometer per hour and calculate how long it takes to reach the sea It takes hours to reach the sea Type an integer or a decimal CE

How many more students voted for baseball and basketball than football 20 Favorite Sports 50 45 40 668888568 35 30 25 20

What are the solutions of the following equat 7x 2 7 2 x2 2 Choose 1 answer A D 2 4 0 17 2 HRIN or a 3 49 Only 2 or a WIN 2 3 or a NIW 3 2 2 7 There are no solutions

11 Perry can mop a warehouse in 10 9 hours Ming can mop the same warehouse in 8 3 hours How long would it take them if they worked together A 5 1 hours C 5 18 hours B 3 98 hours D 4 71 hours

Solve each question Round your answer to two d 9 Working together DeShawn and Sarawong can pick forty bushels of apples in 5 62 hours Had he done it alone it would have taken Sarawong 9 1 hours How long would it take DeShawn to do it alone A 11 38 hours C 14 7 hours B 13 47 hours D 17 07 hours

0 9 hours se in 8 3 hem if S S 12 Elisa can mop a warehouse in 10 4 hours One day her friend Pranav helped her and it only took 4 52 hours How long would it take Pranav to do it alone A 9 23 hours C 7 99 hours B 5 76 hours D 7 44 hours

10 answer to two digits 1 of apples one it hours n to do it hours hours 10 Working alone Darryl can tar a roof in 10 hours One day his friend Chelsea helped him and it only took 6 hours Find how long it would take Chelsea to do it alone A 11 77 hours B 15 5 hours C 16 06 hours D 15 hours

The capacity of an elevator is either 20 children or 15 adults If 10 children are currently in the elevator how many adults can still get in adults can still get in the elevator

10 H 4 721 12 8 6 4 2 8 6 4 8 10 10 8 6 12 8 6 4 2 4 21 6 8 10 2 4 6 8 X 10 X 24 6 8 10 O 10 8 6 4 27 10 8 6 4 2 To 8 8 6 4 10 10 8 6 4 4 6 8 10 2 4 6 8 10 X 24 6 8 10

point s possible Submit quiz The number of tropical fish that an aquarium can hold depends on the volume of the fish tank The interior dimensions of the fish tank below are 40 cm 30 cm and 40 cm Each fish requires 10 000 cubic centimeters of water How many tropical fish will this fish tank hold

Which system of inequalities is represented by the graph O O O O y x 2 y 2x 1 y 4 y 2x 2 y x 1 y 4 y x 2 y 2x 1 y 4 y 2x 2 y x 1 y 4 10 10 8 6 4 2 8 6 2 2 4 6 8 10 4 6 8 10

Which graph represents the inequality x 2 41 2 2 2 2 2 1 1 3 3

Which inequality is represented by the graph y x 3 0y r 3 Oy x 3 Oy x 3 y 5 4 3 2 1 5 4 3 2 1 2 3 2 3 4 5

Which system of inequalities is represented by the graph Jy 1 ly x 0 y 1 ly x 0 Jy 1 ly x 0 Jy 1 y x 0 5 5 4 3 2 4 1 2 3 4 5

point s possible A family has a monthly income of 3986 Their monthly expenditures are as shown in the graph below Rent 24 Food 22 Transportation 15 Other Expenses 19 Savings 20 How much money does the family save in a month Write your answer to the nearest dollar

Which graph represents the inequality 3y 5x 6 2 2 2 2 1 2 2 X 2 2 2 2 2 2

Which graph represents the inequality y 1 3x O 2 1 1 2 2 4 4 x 2 2 2 2 4 4 E

point s possible Farmer Brown had ducks and cows One day she noticed that the animals had a total of 16 heads and 42 feet How many of the animals were ducks and how many were cows 8 ducks COWS quiz

Which inequality is represented by the graph Oy x 2 0y x 2 0 y 3x 2 Oy x 2 4 3 2 1 2 3 4 5

stion Use the tree diagram below to predict the probability of flipping 3 coins and getting all heads or all tails www H T Ar Payor 2 H F TE H H H HI H T T T T 774 O A 1 2 OB 1 OC 2 O D 1 4

ultiply or divide the following rational expressions as indicated and simplify your answer 5z 14z 3 z 15z 56 2 8 z 3

Question 2 of 9 Step 1 of 1 Find the standard form of the equation for the circle with the following properties 10 7 Answer Center 10 3 15 Correct and tangent to the x axis

e point P 1 0 lies on the curve y sin 147 If Q is the point x sin 4 f find the slope of the secant line PQ correct to four decimal places for the following valu 1 2 ii 1 5 iii 1 4 iv 1 3 v 1 2 vi 1 1 vii 0 5 viii 0 6 ix 0 7 x 0 8 xi 0 9

Jim and Jack were curious about the number of red cars they saw each day One Saturday they decided to keep track of the red cars that passed their house each hour They recorded their findings in the table below Hour 1 2 4 5 Number of Red Cars 5 6 10 7 7 What was the average number of red cars that they saw each hour Round your answer to the nearest tenth

Suppose you are given a square with an inscribed circle as shown below If the area of the square is 36 m what is the area of the circle Use 3 14159 for T m Write your answer to two decimal places

Determine whether 30 is rational irrational or not a real number Evaluate the radical if it is rational If the radical is irrational approximate the radical rounded to two decima places Is 30 rational irrational or not a real number O not a real number O rational irrational Select the correct choice below and if necessary fill in the answer box to complete your choice OA 30 Type an integer or decimal rounded to two decimal places as needed OB The radical is not a real number Sa

Step by Step Solution Step 1 Write the radicand as the product of factors one of which is a perfect square 50 25 2 Step 2 Write the radical as the product of two or more radicals 25 2 25 2 Type an exact answer using radicals as needed Step 3 Take the square root of any perfect square 25 2 2

py 50 Step by Step Solution Step 1 Write the radicand as the product of factors one of which is a perfect square 50 25 S

Simplify 5y 5y 2y 3 3y 9y 10 5y 5y 2y 3 3y 9y 10 Do not facto

Give the numerical coefficient of the term XW

Simplify the following expression 2x 3 x 1 6x 7 2x 3 x 1 6x 7

Determine which of the following numbers are in the domain of the variable a x 5 b x 0 x 5 x 9 a Is 5 in the domain of the variable Yes No c x 9 d x 9

Use the distributive property to remove the parentheses 8 K 6 8 K 6

8x 5 0 Select the correct choice below and fill in any answer box OA The solution is Type integers or simplified fractions OB There is no solution

Factor out the greatest common factor Simplify the factors if possible x 3 x 7 x 3 x 9 OA 2 x 3 x 8 O B x 3 x 16 O C 16 x 3 O D x 3 x 16

Factor by grouping 2 24x 18x 20x 15 O A 24x 1 x 15 O B 6x 5 4x 3 O C 24x 1 x 15 O D 6x 5 4x 3

Factor by grouping 2 15x 10xy 12xy 8y OA 5x 4y 3x 2y O B y 5x 4 3x 2 O C 5x 4y 3x 2y OD y 5x 4 3x 2

The equation y 10 2x 13 2 estimates the amount that businesses will spend in billions of dollars on a certain business technology where x is the number of years after 2001 For what years will the spending be more than 105 billion Spending will be more than 105 billion more than years after 2001

Find the domain of the following function g x 8 4 x The domain is Type your answer in interval notation

Solve and graph the solution set 8 8y 17y 6 The solution set is y y Simplify your answer U fractions for any numbers in the expr

Find the distance between the points on a number line 5 80 A T Ft BI E WNM III GO U

Name the irrational numbers Select one or more a 5 b 6 32 c 12 81 51 2 O d e O f 27 O g Oh 7 50 2 32323232

Write in interval notation 3 x 3 A T Ff BI

What is a characteristic of Grendel that is mentioned in the story OA He cannot be seen in the dark B He has the power to read people s minds C He has strength that no human can conquer D He is immune to the power of man made weapons

What polynomial should be added to 3x 6 so that the sum is zero The polynomial is Simplify your answer

Find the sum of 3x 9 and 6x 8 Sim

Perform the indicated operations 2p 26 4p 3p 6 2p 6p 20 2p 26 4p 3p 6 2p 6p 20 Simplify your answer Type your answer in standard form

Perform the indicated operations 2x 2xy 3y 4x xy 2y 2 xy 4y 2x 2xy 3y2 4x xy 2y xy 4y Simplify your answer Type your answer in standard form

The accompanying bar graph shows the resident population and the land area of a particular country for selected years from 1800 through 2019 Use the information to find the population density of a certain country to the nearest tenth expressed in people per square kilometer in 1900 Click here to view the bar graph The population density in 1900 was approximately Round to the nearest tenth as needed OKEERI people per kilometer people per kilometer people per square kilometer 1 in2 1 ft 1 yd 1 mi 1 acre 6 5 cm 2 0 09 m 0 8 m 2 6 km Save 0 4 hectare ha