Questions

Consider the following function f x 3x 8x 4 2x 3x 2 Find all vertical asymptotes horizontal asymptotes slant asymptotes and holes in the graph of the function Then use a graphing utility to verify your result Enter your answers as comma separated lists If an answer does not exist enter DNE vertical asymptote horizontal asymptote slant asymptote hole x y y x y

9 7 5 Find the perimeter of the shaded region above

Minimize Subject to y x X Minimum is X z 5x 4y y 3x 6y 4x y y 8 32 6 0 0 at

A ladybug crawls around the outside of a rectangle that measures 5 5 cm by 9 5 cm The ladybug stays exactly 3 2 cm from the rectangle at all times to form a larger figure What is the area of the new rectangle bound by the path of the bug Question He Select an answer cm cubic cm uctor

How many square feet of carpet are needed to cover the floor of a rectangular room 12 ft by 16 ft Question Help Me Select an answer feet square feet

Find the area of the triangle pictured below where the measurements are given in meters m 12 m 5 m Q

22 14 Q Find the perimeter of the rectangle pictured above

Find the perimeter of the parallelogram shown below 42 52 47 O

m which interval s is the function increasing Select the correct choice below and if necessary fill in the answer box to complete your choice A 0 8 Type your answer in interval notation Type an integer or a decimal B There is no interval on which the function is increasing which interval s is the function decreasing Select the correct choice below and if necessary fill in the answer box to complete your choice CIED A 8 00 Type your answer in interval notation Type an integer or a decimal B There is no interval on which the function is decreasing ere is are the relative maximum point s Select the correct choice below and if necessary fill in the answer box to complete your choice A x Type an integer or a decimal Use a comma to separate answers as needed B There are no relative maximum points

8 9 Q Find the area of the shaded region Round your answer to the nearest tenth

5 5 Find the area of the triangle pictured above Round your answer to the nearest tenth

Find the perimeter of the trapezoid shown below 11 5 5 6 11 2 14 12 5

If a rectangular garden is 40 ft by 20 ft how many feet of fence are needed to enclose it Question Help Me Select an answer cubic feet square feet

Find the area of the trapezoid shown below 22 3 10 8 21 6 27 24 1 Q

22 18 a Find the area of the rectangle pictured above units

11 yd Area 4 yd 9 yd ud 3 yd Q

Construction and building inspectors ensure that construction meets local and national building codes and ordinances zoning regulations and contract specifications They spend considerable time inspecting worksites alone or as part of a team Most work full time during regular business hours Many states and local jurisdictions require some type of license or certification The median annual wage was 56 040 in May 2014 SOURCE Bureau of Labor and Statistics U S Department of Labor Occupational Outlook Handbook 2016 2017 Edition Construction and Building Inspectors A wheelchair ramp with a length of 321 inches has a horizontal distance of 320 inches What is the ramp s vertical distance height inches State your response to the nearest 0 1 Construction laws are very specific when it comes to access ramps for the disabled Every vertical rise of 1 inch requires a horizontal run of at least 12 inches Does the ramp above satisfy the requirement OYes O No

22 13 Find the perimeter of the rectangle pictured above

Find the perimeter of the parallelogram shown below 46 54 50 C

5 4 3 2 1 5 4 3 0 2 1 2 3 N 2 3 4 5 a Use the graph of f x above to estimate the value of f 0 Hint You may find it helpful to hold a straight edge up to your computer screen to approximate a tang line 5

You re locked out of your house and the only open window is on the second floor 35 feet above the ground You need to borrow a ladder from one of your neighbors There s a bush along the edge of the house so you ll have to place the ladder 12 feet from the house What length of ladder do you need to reach the window 8 8

Find the perimeter of the figure pictured below 8 2 7 4 9

Determine the end behavior plot the y intercept find and plot all real zeros and plot at least one test value between each intercept Then connect the points with a smooth curve f x x 9x 15x 25 Choose the correct end behavior for f x The ends of the graph will extend in the same direction because the degree of the polynomial is even The ends of the graph will extend in opposite directions because the degree of the polynomial is odd The ends of the graph will extend in the same direction because the degree of the polynomial is odd O The ends of the graph will extend in opposite directions because the degree of the polynomial is even The y intercept is 25 Type an integer or a simplified fraction The zeros of the polynomial are x Repeat any zeros that have a multiplicity greater than 1 Simplify your answer Type an exact answer using radicals as needed Use integers or fractions for any numbers in the expression Use a comma to separate answers as needed

ship leaves the same port at the same time and sails on a bearing of 56 10 E at speed 16 3 mph How far apart are the ships after 2 hours Round to the nearest integer as needed miles

If a 40 foot tree casts a 50 foot shadow how tall is a tree that casts a 80 foot shadow A foot tree will cast a 80 foot shadow

Write the quotient in standard form Simplify your answer completely 11 2 i

ship leaves the same pont at the 16 3 mph How far apart are the ships after 2 hours miles Round to the nearest integer as needed 33 50 56 10

The following table lists the average distance from the sun diameter and period of revolution of the nine planets in our solar system as of 2005 Planet Distance Millions of Miles Mercury 36 Venus 67 Earth 93 Mars 142 Jupiter 484 Saturn 887 Uranus 1765 Neptune 2791 Pluto 3654 Diameter Miles a Find the median distance d Find the median period 3030 88 7520 225 7926 365 4217 687 88838 4332 74896 10760 31765 30684 30774 60188 1428 90467 Period Earth Days b Find the mean distance round to the nearest integer c Find the median diameter

Perform the subtraction and write the result in standard form Simplify your answer completely 123i 4 7i

Perform the operation s and write the result in standard form Simplify your answer completely 4 3i 4 3i

Perform the operation s and write the result in standard form Simplify your answer completely 4 3 5i

Write the complex conjugate of the complex number 5 4i Multiply the number by its complex conjugate Simplify your answer completely

1 point Find the volume of the solid obtained by rotating the region bounded by y x and y 162x about the x axis Volume is

1 point Find the volume of the solid obtained by rotating the region bounded by y 64 x y 0 x 1 and x 6 about the x axis V Volume is

In a softball game how far must the catcher throw to second base 60 ft 60 ft 60 ft

Write the complex number in standard form 4 36 2 2 3i

Use the graph of f x the derivative of f x given to the right to answer the following question If f 5 9 what is the equation of the tangent line to the graph of y f x at x 5 Points 0 of 1 10 5 10 5 y f x 5 2

A utility pole is 8 m high A cable is stretched from the top of the pole to a point in the ground that is 4 m from the bottom of the pole How long is the cable

A garden measures 77 feet by 36 feet and the owner of the garden wishes to divide the garden into two parts by installing a fence from corner to corner Find the cost of the total length of fence if the fence costs 9 56 per foot

Use the graph below to fill in each entry of the grid with positive negative or zero Ay A y f x A B 16m f C negative positive 17 f f

At 3 00 PM a man 137 cm tall casts a shadow 150 cm long At the same time a tall building nearby casts a shadow 195 m long How tall is the building Give your answer in meters You may need the fact that 100 cm 1 m

How long must the brace be on a closet rod holder if the vertical side is 19 cm and the horizontal side must be attached 32 cm from the wall 32 cm 19 cm

What is the altitude of the plane 610 m 600 m Note Figure is not drawn to scale

Find the unknown lengths for the similar triangles below X y 6 ft 7 5 ft 6 ft Q 14 4 ft y X ft If needed round to 2 decimal place ft If needed round to 2 derimal placo Q

What is the minimum height the ladder must be to reach the roof III I 6ft 8 Ground Ladder F5ft

Find the length of the hypotenuse of the triangle pictured below Enter the exact value as a square root Do not round 4 13

Find the length of the leg x Enter the exact value not a decimal approximation X X 6 16

Find the unknown lengths for the similar triangles below 5m X y 8m 11 5 m 12 m y m If needed round to 2 decimal place m If needed round a

Find the unknown length x for the similar triangles below 5m x 9 m 8m Q 12 m x 21 6 m m If needed round to 2 decimal place a

Find the length of the hypotenuse of the triangle pictured below 6 hypotenuse 6 Q