Quadratic equations Questions and Answers

Consider the data set Data Points x 14 2 2 11 8 What is the standard deviation of the data set 0 04 3 4 8 5 4

1 Solve the following equation using factoring and the Zero Product Property Show all work x 3x 2 0 product sum

5 The zeros of the function f x x 2 25 are 1 3 and 7 2 3 and 7 3 5 and 2 4 2 and 5

Minimum Spanning Trees Create a spanning tree using the breadth first search algorithm Start at A i e O What is the CORRECT NUMBER at vertex J i e the minimum number of edges needed to connect vertex A to J 1 2 3 4 A B C D H J E

Simplify Do not use a calculator or round to a decimal Write the exact simplified form 2 19 6 17 3 17 5 19

Simplify Assume all variables are positive Do not use a calculator or round to a decimal Write the exact simplified form 100a 25a 16a Click on Yellow bar in Answer Box to use Math Quill for radicals Without Math Quill you may type 7sqrt 3x for 7 3x Click PREVIEW button before submitting

Which of the following gave us the procedures for finding the minimum cost of a spanning tree of a graph Hamilton s Algorithm Kruskal s Algorithm Shortest Path Algorithm Prim s Algorithm

The number of cookies found in 10 different snack bags are shown below 14 12 14 13 14 14 14 15 14 12 Which center should be used to best represent the data The mean number of cookies is 13 6 The median number of cookies is 14 The mode of the number of cookies is 14 The range of the number of cookies is 3 M

A student just got her progress report Based solely on data points which measure of central tendency should be used based on the following grades 72 90 75 75 58 75 64 75 75 75 Mean Median Mode Range

A weight of 1000 pounds is suspended from two cables as shown in the figure What are the tensions in the two cables C c 85 Static Equilibrium A weight of 1000 pounds is suspended from two cables as shown in the figure What are the tensions in the two cables 25 40

Simplify and write answer as a reduced fraction 98 50

Simplify Assume all variables represent positive values 499 r Click on Yellow bar in Answer Box to use Math Quill for radicals Without Math Quill you may type sc for 3 or root 5 11 for V11 Click the preview button before submitting Do not use a calculator or round to a decimal Write the exact simplified form

Find the exact value of sin sin 5T 4 5 4

N A traffic cop was stopping every 5th car to check for insurance and license What type of sampling method is the cop using Simple Random Sampling Stratified Sampling

A newspaper is doing some research on the effects of the additional funding schools in Georgia are receiving due to sales of lottery tickets To be efficient the newspaper decides to only research all of the schools in Bartow Clayton and Gwinnett Counties Which method of data collection is being used Random Stratified Cluster Systematic

Minimum Spanning Trees Which is the cost of a minimum spanning tree of the weighted graph using Kurskal s Algorithm OOOC 28 30 31 40 S 6 8 10 11 13 12 9

y x 3 and y x 7 using the elimination method

the sun is 63 above the horizon find the length of the shadow cast by a building 77 ft tall Round your answer to the nearest tenth D X 5

7 Determine the degree of the function the y intercept and the x intercepts f x x 3x 2 2x 5

Which graph represents an INCOMPLETE BIPARTITE graph O A

ger ekle say ler ve 8 Determine all the real and complex zeros of p x x 4x x 26 Then write p x in factored form with linear and quadratic factors

Question 5 10 points Shortest Route Algorithm What is the length shortest path from A to G in the graph below A B 2 5 C 3 D 2 E 7 8 3 G H 4

me Limit 2 00 00 age 1 1 4 7 10 2 5 8 Ga 9 1 11 12 Time Left 1 28 06 Question 6 Unsaved C H D Neftali Moreno Miranda Atter D D

Rewrite the equation of the given function in graphing form f z x 10 x 2

LEVEL 4 In addition to a score 3 0 performance in depth inferences and applications that go beyond what was taught Using the digits 0 to 9 at most one time each fill in the boxes to create three equations that produce the exact same parabola Show ALL of your work thinking y x 0 y x x y x x 0

I can rewrite a quadratic equation from standard form into graphing form when a 1 I can rewrite an equation from factored form into graphing form when a 1 I can identify the y intercept x intercepts and vertex a Rewrite the equation of the given function in graphing form vertex form and state the vertex and y intercept g x 3x 18x 22 Graphing Form y intercept

Rectangle J K L M shown on the grid is the image of rectangle JKLM after transformation The same transformation will be applied on trapezoid STUV 10 9 8 0 O 18 2 18 2 I What will be the location of T in the image trapezoid S T U V O 15 2 S M 0

quadratic equation from standard form into graphing form when a 1 I can identify the y intercept line of symmetry and vertex a Rewrite the quadratic equation below into graphing form Identify the y intercept line of symmetry and vertex f x x 14x 23 Graphing Form y intercept Vertex Line of symmetry

Which vertex listed below could be described as a RECEIVER OV X Y X

A village on a Caribbean island was devastated by a hurricane The supply of fresh water was contaminated when the storm surge washed over the island inundating the wells Several tanks of fresh water were delivered to the village Each tank contains 10 5 hectoliters of water festa How many liters of water does each tank contain torn nsm woh b b On any given day one person needs an average of 2 5 liters of water to survive How many people will a tank supply for the day Hint Create a conversion factor to convert from liters to people gnel bi bi c If the village which includes people and livestock requires a total of 430 liters of water each day approximately how long in days will one tank provide an adequate supply for the village Give your answer to the nearest tenth of a day Hint Create a conversion factor to convert form liters to days ei 160 elbi COTU

Suppose that a weight on a spring has initial position s 0 and period P s 0 5 in P 1 2 sec a Find a functions given by s t a cost that models the displacement of the weight A

Teams of students compete in a robotics contest The times for the robots to complete an obstacle course are normally distributed The mean time for completion is 60 seconds and the standard deviation is 4 seconds Approximately what percentage of the robots complete the course in 56 to 64 seconds A 68 B 8 C 60 D 50

the equation y x 2 12x 35 on the ying set of axes You must plot 5 points the roots and the vertex

Factor the four term polynomial by grouping 3x 2 18xy 8x 48y

4 5 Simplify 7m 5m 19 3m 2m 5 10m 7m 24 21m 14m 35 4m 3m 14 O 10m 3m 19 1 point Solve for the variable Reduce the fraction to lowest terms If there is no solution say so 6 x 4 10 x 5 x 37 There is no real solution O 17 2 x X 37 2 1 point Solve the equation for the variable Reduce any fractions to lowest terms If there is no solution say 2 3x5 6 x 2 x 0 There is no real solution x x 2 6

2 Evaluate the expression a bc for a 3 b 4 c 9 1 4 22 09 1 point Simplify y 2 3x 6 x 4y 18xy 6x 3xy 22y 10y 6x 7xu

Question 1 25 points Minimum Spanning Trees Using the Breadth First Search Algorithm how many edges in total would it require to create a minimum spanning tree 6 8 9 10 E B 23 G H

The coefficients of x23y19 in the expansion of 2x 3y2 is Select one O 8 O b OC O d 42 223 319 23 2 23 19 223 319 42 23

Question 1 25 points Tree Graphs What is the sum of degrees of each vertex for a tree with 5 vertices 5 8 10 E D A C

Question 2 25 points Shortest Route Algorithm If you start at vertex A and use the Shortest Route Algorithm what would be the second path to be selected highlighted AB E 2 S B S 2 C

Question 1 25 points Shortest Route Algorithm What is the length of the shortest path from B to F in the graph below use the shortest route algorithm 05 H A A 2 G N 2 3 7 B 8 the F 3 1 4 E 3 3 D C

Shortest Route Algorithm Alan is writing out the steps using the Shortest Route Algorithm On the second step he just circled the route ABD as the shortest rourt from A to D What should he cross out next AB 2 AC 4 AD 6 ABE 8 Step 1 AB 2 AC 4 AD 6 Step 2 ABD 3 ABE 8

0 i f x y xy Z TX ii f x y exy z x 1 iii f x y x cos x cos y z x 0 iv f x y x y log x y Z 2n log n 4 log 2

2 2 The quotient is The remainder is Question Help Message instructor Submit Question Question 7 Find the quotient and remainder using synthetic division 3x 3x 3x 6 2 1 The quotient is

What is true of the function f x 2x a It is discontinuous b It is continuously differentiable c It is differentiable everywhere except at x 0 d It is continuous

Question 3 25 points Traveling Sales Person Graph TSP Which of the following is a branch of the TSP tour tree Brute Force Method for the given graph 25 8 17 C 32 8 22 ABCDA 95 ACBDA 97 ACDBA 96 All of the above are valid naths

Question 1 25 points Traveling Sales Person Graph TSP Which of the following is one of the cheapest routes to pass through each vertex once starting and ending with vertex A and using the Nearest Neighbor Algorithm 200 220 240 210 310 ABCDA 960 ACDBA 900 ACBDA 960 None of the Above 230 A

For problem 4 and 5 find the length of the curve 4 r 1 sin 0

19 Suppose 3x ax g x x ax 1 for a 1 and near 1 Determine a in such x 1 that the Squeeze Theorem can be used to find lim g x Then find this limit 1

Question 4 25 points Planar Graphs Is the graph at the right planar Yes No It is not because it contains a K5 subgraph No It is not because it contains a K3 3 subgraph