Functions Questions and Answers

6 Simplify 3 3 X 1 13 01 2 2 X 1

Graph the inequality and give interval notation for the solution Use two o s as in octopus for inifinity and a U for union as needed 52 4 11 OR 6z 8 4 5 4 3 2 1 0 Clear All Draw 1 Submit Question 2 O 3 4 5 Interval notation for the above inequality and graph is

Inequality Notation I 3 I 4 10 10 10 10 5 5 Graph Clear All Draw 5 Clear All Draw 0 0 Clear All Draw 5 Clear All Draw 0 5 4 3 2 1 0 0 1 2 5 5 O O 10 10 2 10 10 Interval Notation 1 4 1 1

Write the following in interval notation 20 21 22 23 24 25 26 27

3 A Ferris wheel has a radius of 20 feet the center lies 60 feet off the ground and it takes 20 seconds for it to make a complete revolution The function f x 20 sin 18t 60 is used to model the height of a rider where the rider is positioned on the far right side when t 0 Rewrite the equation such that the radius of the Ferris wheel has doubled the rider starts at the top of the wheel and that the center is half the height of where it originally started g x

The total cost function for a product is C x 750 In x 10 1600 where x is the number of units produced a Find the total cost of producing 400 units Round your answer to the nearest cent b Producing how many units will give total costs of 8500 Round your answer to the nearest whole numb units

A certain company s main source of income is a mobile app The company s annual profit in millions of dollars as a function of the app s price in dollars is modeled by P x 2 x 3 x 11 What would be the company s profit if the app price is 0 dollars million dollars

The expected number of defective parts produced on an assembly line per shift is 60 with a standard deviation of 10 Use Chebyshev s inequality to find the minimum probability that the number defective parts on a particular shift will be between 45 and 75 Round your answer to four decimal places

find horizantal asymptote of y x 4x 4 6x 2 4 2x 1 2 x 1

5 2x 3 What is the rate of change on 2 11 Show all work Consider the function

Consider the following function 1 7x Select what statements are true The domain is all real numbers except 9 The range is all real numbers except 7 The y intercept is at 2 The x intercept is at 0 5

What is the sum of the of the roots shown in the graph below 2 0

Express the required calculation in terms of x and then round to the nearest tenth How much fencing is required to enclose a circular garden whose radius is 20 meters There are of fencing required Simplify your answer Type an exact answer in terms of There are approximately Round to the nearest tenth as needed of fencing required

Find the circumference and area of the circle Express answers in terms of x and then round to the nearest tenth Find the circumference in terms of z Type an exact answer in terms of x Find the circumference rounded to the nearest tenth C C Find the area in terms of A Find the area rounded to the nearest tenth Type an exact answer in terms of z www

A school playground is in the shape of a rectangle 500 feet long and 100 feet wide If fencing costs 22 per yard what will it cost to place fencing around the playground HIED

0 AABC AMLK C 40 16 B M 30 A x 3

A piece of cardboard is in the shape of a square It measures 6 centimeters on each side What is its perimeter centimeters X

A B Shade B n A on the Venn diagram and the universal set U B

In a writing course the professor surveyed the students to see the literature genres they like The Venn diagram shows this information for two of the genres All students surveyed Like fantasy Linda Leila Rafael Maya Mary Like horror Joe Brian Latoya Chris a How many students like fantasy 0 students b How many students like fantasy or horror or both 0 students c Which students do not like horror Choose all that apply Chris O Joe O Leila O Mary O Maya Brian Linda Latoya O Rafael

Set B and the universal set U are defined as follows U 3 4 5 6 7 8 B 3 5 8 Find the following sets Write your answer in roster form or as a BUU D b BnB D X

Let sets A and B be defined as follows A j k l m q r s t B is the set of integers greater than 4 and less than 3 a Find the cardinalities of A and B n 4 0 n B b Select true or false VE A KE A 2 E B True O O False O O O X

One side of a square flower bed is 23 feet long How many plants are needed if they are to be spaced 23 inches apart around the outside of the bed flowers GALLER

Find the perimeter of the figure shown Express the perimeter using the same unit of measure that appears on the given sides 38 158 Perimeters Ne

k 10 3 Find the perimeter of the figure shown Express the perimeter using the same unit of measure that appears on the given sides 5 yd 20 yd 5 yd 20 yd P 25 yd Question 4 10 3 21 25 yd

Find the perimeter of the rectangle Express the perimeter using the same unit of measure that appears on the given sides 12 cm 3 cm 12 cm The perimeter is 3 cm

Subtract the following 9 4 5 62 52 10 9 16

Subtract the following 2 3 x 8 O 9x 33 x 4 x 7 O92 62 11 x 4 x 7 3 32 15 x 4 x 7 31 28 x 4 2 7

Explain why the triangles are similar Then find the missing length x Part 2 of 2 X GEXE 18 in 9 in HW Score 69 7 7 67 of 11 points Points 0 33 of 1 4 in Choose the reason that the triangles are similar OA All right triangles are similar B Both triangles are right and scalene C One angle pair is given to have the same measure right triangles Another angle pair consists of vertical angles with the same measure Thus two angles of the large triangle are equal in measure to two angles of the small D The Pythagorean theorem states that a b c Thus the corresponding sides are proportional Find the missing length

Sy O 6x 3y Sy 7 4y Sy 52 4y Sy 7x 4y By

Points 0 of 1 A rectangular garden bed measures 48 feet by 14 feet A water faucet is located at one corner of the garden bed A hose will be connected to the water faucet The hose must be long enough to reach the opposite comer of the garden bed when streto required length of hose The required length of the hose is Type an exact answer using radicals as needed

Use similar triangles to solve A person who is 5 feet tall is standing 156 feet from the base of a tree and the tree casts a 169 foot shadow The person s shadow is 13 feet in length What is the height of the tree G 156 ft 5 ft 13ft Points 0 of 1

K Find the area of a rectangle that is 8 km by 3 km SUFLERI

Find the area of the geometric figure The area of the geometric figure is sq yd 12 yd

Find the circumference of a circle whose diameter is 3 12 m long Use 3 14 The circumference of the circle is approximately Round to two decimal places as needed m

Find the perimeter of the rectangle which is 65 ft x 14 ft

Evaluate the given expression for x 11 4x 3 The answer is

Find the square root 100 Select the correct choice below and if necessary fill in the answer box within your choice OA The square root is a real number 100 OB The square root is not a real number

4 18 46 E ms Type an i Type an integer or a simplified fraction

X 0 5 0 28 0 7 X Type a whole number or a decime

X 0 y 0 1 3x 6y 18 y 0 2 4x y 8 3 7x 3y 21 x y 4 x 9 y 45 5 2x 6y 24 6 5x 3y 15

Reduce the rational number to its lowest terms 32 56 Next question 32 56 Type a

Use the order of operations to simplify the expression 6 61 2 6 5 4 3 5 6 6 2 6 5 4 3 5

fy the peak hour volume in veh h the free flow speed in mi h the demand flow ble check your calculations veh h oundoff error or you could have a mistake in your calculation Carry out all f error mi h

Let 0 be an angle in standard position Name the quadrant in which 0 lies cos 0 cot 0 0 The angle 0 lies in which quadrant IV

The slope field for a certain differential equation is shown above Which of the following could be a solution to the differential equation with the initial condition y 0 1 A B C D E y cos z y 1 z y c y 1 2 y 142

The following is the graph of the function f On your paper draw a set of axes and then sketch the graph of the derivative function f Clearly mark each x intercept of the d k

Problem 5 10 Points If fis a invertible function and f 1 2 then fin A 2 B f f 4 C f f 6

In how many ways can 2 books be choosen from a grou of nine Your answer is

Solve the system of equations graphically If the syste

xercise 3 Compute the scalar line integral fds where f and C are as indicated a f x y 1 ry C r t t 3t t 0 1