Quadratic equations Questions and Answers

Write as an absolute value x 25 A x 5 B x 5 C x 251 x 25 D

tion 28 2 Graph the following function by considering how the function r has been shifted refl compressed Answer 2 Points of 35 Step 1 of 1 10 Points can be moved by dragging or using the arrow keys Points whose positions are r point will be updated automatically Any lines or curves will be drawn once all required and will update whenever a point is moved 5 g x 2 x 2 3 2 701 5 5 10 X

1 2 what is the value of r For a geometric sequence if as 8192 and

Consider the following function Answer 2 Points A k x SAY Step 3 of 3 Identify the correct graph of this piecewise defined function 8 3 X 6x 12 if x 2 if x 2 4 4 8 V 4

5 Solve 1 1 8 8 Write the solution in interval notation A 55 1 B 1 55 C 55 1 R 1 55

3 A 3 B5 C 10 GIVEN FIND f x 3x 1 g x x 2 fog 2

4 Express the problem below as a system of linear equations and find the solution Admission for a school play was 10 for adults and 5 for children A total of 300 tickets were sold How many adult tickets were sold if 2500 was collected at the door A 50 B 100 C 150 00

Consider the following functions Step 4 of 4 Find ep 4 of 4 9 f 5 1 2 2 1 2 and g 2 5 4 2 1 1 AnswerHow to enter your answer opens in new window 2 Points

Consider the following relation y 3x 4 Step 2 of 2 Find the domain and range of the inverse Express your answer in interval not Answer 2 Points Domain Range K

Question 7 of 35 Step 1 of 2 Emily bought a puppy and has been tracking its weight at the end of each mont told by the dog s breeder that the dog should have an adult weight somewhere 50 pounds End of Month Answer 2 Points 1 2 3 4 5 6 7 8 9 10 11 12 Weight in pounds Step 1 of 2 The linear function w t 4 24t 4 24t 2 65 models the weight of the this model what is the extrapolated weight of the dog after 2 years Round you pound 2 5 10 15 18 24 26 32 35 39 45 48

For the following right triangle find the side length x X 20 15 0

4 A right triangle has side lengths 8 15 and 17 as shown below Use these lengths to find tan X cos X and sin X 15 X ZO 5 8 17 tan X cos X sin X 0

Find the circumference Round to the nearest tenths place A 4 ft 30 B Use 3 14 for pi 888 000000

9 Find the circumference Round to the nearest tenths place A 9 mi B 60 Use 3 14 for pi

Question A company s mean salary is 65 000 with a standard deviation of 6 000 What is the probability that an employee makes between 70 000 and 80 000 Hint First find the 2 score for x 70000 and x 80000 8039 9938 0 5643 1961 LEEK 3424 IN BRAN

Consider the following graph 3 2 2 horizontal asymptotes 7 2 3 X Find the equations of the vertical and horizontal asymptotes of the graph Enter your answers as a comma separated list of eq vertical asymptotes Find the domain and range Enter your answers using interval notation domain

Question 15 3 3 Given that a data set has a Median of 5 and an Inner Quartile Range of 3 what is th possible range of values that could be the Lower Quartile Q for the data set It may help to create or think about a box and whisker plot 50 58 0050 52 250 55 38

Question 20 SAT verbal scores are normally distributed with a mean of 450 and a standard deviation of 120 Determine what percent of the scores lie between 450 and 570 47 5 49 9 34 1 68 2 13 9 34 1 542 13 8 149

This histogram shows the frequency distribution of duration times for 107 consecutive eruptions of the Old Faithful geyser The duration of an eruption is the length of time in minutes from the beginning of the spewing of water until it stops What is the BEST description for the distribution Duration of 107 Consecutive Old Faithful Eruptions Obimodal O uniform Omultiple outlier Frequency 25 20 e 341 1 67 9661 2 322 2 648 2 974 EL Duration minutes 167

Consider the two line plots Data Set A 0 10 Which statement below is true 10 Data Set A has more variation than Data Set B Data Set A has less variation than Data Set B Data Set A has the same amount of variation than Data Set B

A quadratic function of the form y x bx c has x intercepts 3 0 and 5 0 The coordinates of its vertex are 2 16 O 1 16 O 2 15 1 15

A teacher is comparing two students tests grades Which one has the smaller standard deviation Courtney 100 100 96 95 97 Justin 100 90 100 99 99 Courtney Justin They are the same

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

Consider the data set represented by the dot plot 500 1000 Which word best describes the red data point Unbalanced Third quartile Outlier Absolute Deviation 1500

Find the standard form of the equation of the hyperbola AFT MT TN 131 11 11 A L V T H Hot VI Ho it il n AVA H 1 A 11 1 TH t x TX No t The equation of the hyperbola in standard form is 7 10 0 0

Ms Scott the principal of Phoenix High School was conducting a survey about student s impressions of the virtual student days and decided to ask 10 random students from each of the 5 periods for the day Which type of sampling did she employ Simple Random Sampling Stratified Sampling

Identify the following data set a survey of just Mr Winking s students in ratings of Phoenix High School for a study on Phoenix High School Population Sample

1 of 2 07 21 12 00 A salesperson receives a salary of 500 per week plus a 12 commission on sales exceeding 400 Last week his her sales amounted to 1 400 What were his her gros earnings O 1 168 O 620 O 900 O 668 Next

In the projective plane find the point on the lines 1 1 1 and 0 1 2 Find the line on the points 1 0 1 and 0 1 1

Matt was trying to convert the following parabola in standard form to vertex form by completing the square but has made an error y 2x 10x 4 y 2x 10x y 2x 10x 25 25 525 y 2 x5 29 4 Which describes where Matt made his first error Matt should have added 10 and subtracted 10 instead of using the constant 25 Matt should have factored out the leading coefficient 2 on the second step before completing the square Matt should have doubled the 5 in the last step Matt should have first subtracted 25 and then added 25 to properly completely the square

Which equation would best describe a path of the basketball through the goal as shown in the graph 4 3 9 8 2 1 7 6 5 4 2 T 1 1 2 Oy 3 x 25 10 Y 0 2 x 1 5 8 X 3 x 1 5 9 0 2 x 1 5 8 3 4 5 6

What is the vertex of the following parabola y 2x 20x 38 10 62 O 5 12 5 12 10 138

What is the RANGE of the following Parabola y b c Oysb Oyzb Oysc vZc

What is the RANGE of the following graph y x 2x 5 O YSI 2 1 VS 4 y24

Jason takes a jump shot The height of the basketball could be described by the model k 161 30 8 h describes the height of the ball in feet and t the time in seconds after the ball was released At what approximate times does the ball reach a height of 20 feet use the quadratic formula O I 0 8275 and 1 347s 10 2375 and 2 112s 0 578s and 1 297s ts 29 6s and 30 4s

Use the quadratic formula to solve x 5x 1 0 O 5 215 21 O D 0 5 29 5 29 2 5 21 75 21 2 5 29 5 29 2 2

When using the COMPLETING THE SQUARE method what would you add to both sides of the equation to complete the square 6 9 3 36 Question 2 25 points Use the COMPLETING THE SQUARE method to solve the equation After dividing both sides by 2 first what would you then add to both sides of the equation to complete the square 10 20 6x 2 25 100 2x 20x 9

Find the value of f 2 f 0 if f x 2 x 2 x x 1 x 1 x21

Let a be a polynomial function of x where 900 20 5x 28x 1 If x 3 is a factor of g write an equation for g as the product of linear factors

Erica was using the COMPLETING THE SQUARE method to solve the quadratic equation below 2x 12x 5 0 51 5 27 13 5 6 36 2 12x 36 5 36 x 6 41 6 n 41 Her friend Ryan noticed that Jessica made an error or two and told her where she made her first mistake Which of the below could be the error that Ryan told Jessica about Erica should have subtracted 5 from both sides first On the step where Erica added 36 to both sides she really should have subtracted 36 from both sides Just before Erica completed the square she should have first divide both sides of the entire equation by 2 Erica should have added 6 to both sides before taking the square root of both sides

The volume of the prism shown in 60 cm Given the dimensions shown below what would be the value of x 3x 2 2 1 x In the blank list only the numeric value of x i e just a number only

Solve the following by FACTORING and using the ZERO 9 0 In the blank list only the larger of the 2 solutions just the number only Question 5 14 3 points Find the solutions of the following quadratic 2x 10x 12 Ox 1 2 Ox 6 1 X 3 2

The length of a rectangle is 3 cm more than twice the width If the area of the rectangle is 44 cm what is the width of the rectangle 2 cm 4 cm 11 cm 22 cm 44 cm 2w 3 W

A polynomial function of degree 5 with rational coefficients has 1 3 sqrt 11 6i as zeros Find the other zeros

toy rocket is launched from a 6 3 m high platform in such a way that its height h in meters after t seconds is given by the equation h 49 43 4t 63 How long will it take for the rocket to the ground The toy rocket will hit the ground after approximately seconds Type an integer or a decimal Round to the nearest hundredth as needed CEED

Solve the quadratic equation by completing the square x 2x 12 0 First choose the appropriate form and fill in the blanks with the correct numbers Then solve the equation Round your answer to the nearest hundredth If there is more than one solution separate them with commas Form x D x D 0 Solution 0 0 X

Consider the given right triangle b 45 deg and c 10 then a sqrt 2

11 Which number is farthest from the origin in the complex plane molen lbi silt to nodomut a 6 8i b 4 21 C 8 5 d 2 3

Find the length of the side c in the triangle ABC where a 3 b 3 and LACB 120 zao bas 120 ble han DE

26 In the formula A t Agekt A is the amount of radioactive material remaining from an initial amount Ao at a given time t and k is a negative constant determined by the nature of the material A certain radioactive isotope decays at a rate of 0 3 annually Determine the half life of this isotope to the nearest year