Quadratic equations Questions and Answers

0 Use your calculator to find the value of y if x 6 Round to the nearest hundredth y 4 1 9

34 A population of bacteria is growing at a rate of 7 2 per day If there are currently 20 spores how many spores will there be in two weeks

The diameter of a semicircle is 4 millimeters What is the semicircle s perimeter d 4 mm ks

Alan DeLucia purchased 1 000 shares of FPC Enterprises at 38 54 per share and paid a 0 35 per share commission What was the total paid for the purchase of the stock 38 890 00 38 540 00 O 39 111 00

Kim Tayes invests 8 000 in a certificate of deposit for 1 year The certificate earns interest at an annual rate of 4 25 compounded quarterly What is the amount 8 645 46 8 222 46 O 8 345 46

Lorena Ramos can invest 4 000 in a 1 year CD at 4 compounded monthly What is the amount at the end of the year 3 837 03 4 162 97 4 000 00 O 4 185 00

The table below shows a set of points forming figure ABCD Complete the table for the indicated dilation rule x y 5x 5y A 2 1 B 0 5 C 3 1 D 1 2 ABCD A B C D x y 5x 5y A 2 1 A 7 4 B 0 5 B 5 0 C 3 1 C 2 6 D 1 2 D 6 3 x y 5x 5y A 2 1 A 10 5 B 0 5 B 0 25 C 3 1 C 15 5 D 1 2 D 5 10 x y 5x 5y A 2 1 A 10 5 B 0 5 B 0 25 C 3 1 C 15 5 D 12 D 5 10 x y 5x 5y A 2 1 A 5 10 B 0 5 B 25 0 C63155 151

1 1 point A ABC has been rotated 180 degrees 360 degrees 270 degrees 90 degrees counter clockwise around the origin

If point x y is reflected over the y axis the resulting point is x y LO True False

If the pentagon below is to be reflected over the line y x what are the new coordinates of the vertices O G 4 0 H 3 2 J 2 2 K 2 2 L 2 3 G 0 4 H 2 3 J 2 2 K 2 2 L 2 3 G 4 0 H 3 2 J 2 2 K 2 2 L 3 2 G 0 4 H 2 3 J 2 2 K 2 2 L 2 3

Question 2 of 11 Step 1 of 2 An open top box is to be constructed from a sheet of tin that measures 44 inches by 24 inches by cutting out squares from each corner as shown and then folding up the sides Let V x denote the volume of the resulting box X Answer X X X 1 44 inches Step 1 of 2 Write V x as a product of linear factors Correct X X X w 24 inches Keyp Keyboard Shor

A ABC what is the scale factor 4 1 2 2

When dilating a figure by a scale factor of the image is said to be stretched O True False

10 1 point A ABC has been rotated 90 degrees 270 degrees 360 degrees 180 degrees counter clockwise around the origin

Which translation rule describes the translation from EFGH E F G H P M O 1 y 2 x 2 y 1 x 2 y 1 x 1 y 2

Which point is a reflection of point K over the x axis Point L Point H Point M 2 19 0 H

The name of the circle pictured is Circle C True False D

Graph all vertical and horizontal asymptotes of the rational function 2x 8x 6 2 x 3x 4 f x in 2 X S

P A1 A ABC has been rotated 360 degrees 180 degrees 90 degrees 270 degrees C counter clockwise around the origin ribje odig sigels

6 1 point b A ABC has been rotated O90 degrees 270 degrees 180 degrees 360 degrees counter clockwise around the origin

Under the translation x 3 y 1 the point 3 4 will become 0 5 True False

The transformation shown is a translation 3 True False 7 n 2 H H

1 point John left a scavenger hunt for his friends He advised his friends to travel 5 blocks west and 3 blocks north Which translation rule below describes John s instructions x y 2 5 y 3 x y x 3 y 5 x y x y x 3 y 5 x 5 y

Which of the following is true about the data sets 101 131 134 109 152 131 and 145 99 150 106 108 150 Select one or more a The modes are equal b The ranges are equal c The medians are equal d The means are equal

A ABCDE what is the scale factor T E 2 N 1 2 1 3 W M 201 B B

If the point 3 2 is dilated by a scale factor of 4 the resulting point is 12 8 True False

The table below shows a set of points that have been dilated The rule for the dilation is x y x y x y 0 1 4 2 6 1 True False 0 1 2 1 3 1 2

Which series of transformations below would carry the figure onto itself Reflect over y axis rotate 90 degrees counter clockwise reflect over x axis Reflect over y axis rotate 180 degrees counter clockwise reflect over x axis Reflect over y axis rotate 270 degrees counter clockwise reflect over x axis Reflect over x axis rotate 90 degrees counter clockwise reflect over x axis

Solve for x and y 17 x 32 and y 5 3 x 5 3 and y 32 x 6 andy 8 not enough information x 8 and y 6

Which point is the image of point A under the translation x y x 1 y 4 Point D Point E Point C

The triangle has been reflected over the x axis Find x x 5 2011 not enough information to determine x 11

X A GHK has been reflected over what line to create the resulting image O line y x none of these x axis y axis

475 The graph below represents the height above the ground h in inches of a point on a triathlete s bike wheel during a training ride in terms of time t in seconds M Height Above the Ground in 2 3 4 3 63 Time sec Identify the period of the graph and describe what the period represents in this context

474 The height above ground for a person riding a Ferris wheel after t seconds is modeled by TU h t 150 sin t 67 5 160 feet How many 45 seconds does it take to go from the bottom of the wheel to the top of the wheel 1 10 2 45 3 90 1234 4 150

472 The equation below can be used to model the height of a tide in feet H t on a beach at t hours H t 4 8 sin t 3 5 1 Using this function the amplitude of the tide is T 1 6 4 8 234 3 3 5 1

Relative to the graph of y 3 sinx what is the shift of the graph of y 3 sin x 3 1right 23 left 3 up 3 T

459 Given the parent function p x cosx which phrase best describes the transformation used to obtain the graph of g x cos x a b if a and b are positive constants right a units up b units right a units down b units left a units up b units left a units down b units 1 2 3 4

Which function s graph has a period of 8 and reaches a maximum height of 1 if at least one full period is graphed y 4 cos 1 2 3 4 y 4cos TO 3 5 y 4cos 8x 3 y 4 cos 8x 5

The depth of the water at a marker 20 feet from the shore in a bay is depicted in the graph below 1 2 3 d 201 4 M 10 If the depth d is measured in feet and time t is measured in hours since midnight what is an equation for the depth of the water at the marker d 5 cos 7 1 6 d 9cos d 9sin 6 T d 5 sin in 7 6 T 6 t 9 5 5 12 t 9 18 t

456 A cyclist pedals a bike at a rate of 60 revolutions per minute The height h of a pedal at time t in seconds is plotted below 2 23 SIN The graph can be modeled by the function h t 5 sin kt where k is equal to 1 1 4 1 2 60 MA 5 T 30

The voltage used by most households can be modeled by a sine function The maximum voltage is 120 volts and there are 60 cycles every second Which equation best represents the value of the voltage as it flows through the electric wires where t is time in seconds 1 V 120 sin t 2 V 120 sin 60t 3 V 120 sin 60 t 4 V 120 sin 1207

23 Find Se of the sum of the geometric series a 8748 a6 36 r O 13115 O 13085 O 13108 O 13104 None of th

1 If 1 sin x 1 cos x 5 4 then what is 1 sin x 1 cos x

se synthetic division to determine whether 4 is an upper or lower bound of the real zeros of the following polynomial f x x4 3x 8x 12x 16 answer O upper bound O lower bound O no determination can be made Keypad Keyboard Shortcuts 15 13 JU es bjec

3 4 11 2 n4 0 1 4 1 2 3 4 51 4 3m 2 711 4 20 Show Transcribed Text 91 4 511 2 11 4 Consider the trigonometric graph above An a Find an equation for this graph b Find a different equation for this graph Yes there s another

13 Find the sum of the geometric series 32 16 8 4 2 1 S6

8 Find the sum of the geometric series 2 6 18 54 162 S5

6 Find the sum of the geometric series a1 384 a4 48 r S4

1 What is Sn of the geometric series with a 125 r 3 and n 3 O 95 O 120 O 118 O 89 O 110 O None of these are correct 365

f x x 2x 5x 6 Step 2 of 3 Use synthetic division to identify integer bounds of the real zeros Find the least upper bound and the greatest lower bound guaranteed by the Upper and Lower Bounds of Zeros theorem Answer How to enter your answer opens in new window Upper Bound Lower Bound Keypad Keyboard Shortcuts Previous step answer sider t Solutio nsider t 2 Descr nsider t e a step nsider th a step b nsider the GCF of 52 a step by the