Quadratic equations Questions and Answers

Bonus 12 pt Find a plane through P 2 1 1 and perpendicular to the line of intersection of the planes 2x y z 3 and x 2y z 2

Write an equation for the given ellipse that satisfies the following conditions Center at 1 4 minor axis vertical with length 8 c 3 The equation for the given ellipse is Type your answer in standard form

Let g x 2 3x 4 x 1 x be a polynomial function 1 Name all horizontal and vertical intercepts of the graph 1 horizontal 2 vertical 2 State the end behavior of g

Question 13 1 point LO 9 The length of a rectangular garden is two feet more than twice its width If the perimeter is 40 feet find the width

A train trip from Orlando to Detroit take 3 1 2 hours If the train trip travels for 1 5 6 hr how much time is remaining for the flight 3pts

Solve each equation by taking square roots 6 4x 9 5 8 26 3 173 10 8x 17 233 7 4m 6 70 9 6n 10 460 11 2 20r 108

The polynomial p is a function of x The graph of phas four zeros at 4 3 0 and 9 Select all the expressions that could represent p 2 3x x 4 x 3 x 9 x x 4 x x 9 3x x 4 3x 2 x 9 3x x 4 3x 2 x 9 3x x 4 2x 3 x 9

12 2 n 11n 28 n 9n 1 n 5 n n 9

5 At Bay High School 42 0 of all students have a car and an Iphone and 75 0 of all students have a car What is the probability that a student has an Iphone given that they have a car 99 B 33 0 31 5 56 0

13 x 8 2 x 4x 1 10x 6x 4 X x 4x 2

14 1 a 14a 45 2a 4a 48 2 2a 4a 48

Drink Soda Does Not Drink Soda Play Video Games 13 Does Not Play Video Games 6 7 4 ordan interviewed her 30 classmates on whether or not they played video games and if they drink soda She displayed her results in the two way able shown Which statement is true More than half of her classmates drink soda and play video games About 67 of her classmates play video games The same percentage of students who don t play video games and don t drink soda as those who don t play video games and drink soda There is a greater percentage of students who don t play video games than those who don t drink soda

The set B 1 12 21 12 1 1 12 is a basis for P Find the coordinate vector of p t 2 8t 71 relative to B P

5 You find a deck of cards and know that the deck has too many clubs and spades in it The deck has 59 cards 117 Suppose you draw two cards without replacement How many extra spades are in the deck given that the probability of drawing a diamond and a club is 1711 A 6 B 2 5 3

A bag contains blue and yellow marbles Two marbles are drawn without re lacement The probability of selecting a blue marble and then a yellow marble is 0 42 and the probability of selecting a blue marble on the first draw is 0 85 What is the probability of selecting a yellow marble on the second draw given that the first marble drawn was blue A 35 7 B 127 0 49 4117647059 13 0

A 7 9 Start D 8 W W W A basketball team plays 3 games in a holiday tournament According to the tree diagram how many outcomes are possible W W L W

2 At Heard High School the probability that a student takes Advanced Weight Training and Advanced Spanish is 0 099 The probability that a student takes Advanced Weight Training is 0 71 What is the probability that a studer is taking Advanced Spanish if the same student is taking Advanced Weight Training A 71 796 C 50 D 14 84

Consider the simplex tableau given below S1 2 3 3 0 5 0 3 0 4 X 3 0 4 4 X2 0 1 0 0 X3 1 X X2 X3 and x3 24O5N 2100 1000N Which variables are nonbasic variables X3 S3 and z X S and s X X3 and s X2 X3 and s3 14 28 21 15 B Find the basic feasible solution determined by setting the nonbasic variables equal to zero and then solving the basic variables

Solve the following logarithmic equation If multiple solutions exist enter solutions using a comma separated list log3 x 2 log3 9 log 8x 2 H Or No Solution

Choose the graph of y log 5 x 1 2 5 b 32 6 5 3 2 1 Fy 2 3 Y 5 5 5 4 9 2 on Pag 6 5 4 3 2 1 12 2 1 2 3 4 5 6 3 7 4 6 en 4 5 6 0 6 5 4 3 2 1 6 5 4 3 2 7 22 m 45 6 5 2 P 9 4 m 20 5 32 1 ng 5 6 To 1 2 3 4 5 6

Solve the system of equations X y Z 12x 8y 18c 6x 1 3z 13y 9z 4y 3z 27 66 21

Select the graph of f x e 273274 124 2 456 449 331 53454450 2 6 Q S 3 2 197 75547 123456

Solve the system using any method 5 y x 16 2 y 14 3 The system has no solution O The system has one solution The solution set is O The system has infinitely many solutions 0 0

Function Operations Given the functions f x 4x 9 and g x 5x 2 determine each of the following Give your answers as simplified expressions written in descending order Evaluate f g x Evaluate f g x Evaluate f g x 1 2 Evaluate f g x f g x f g x 2

Solve 58 9 4 and write the solution in interval notation

Suppose that the weight in pounds of an airplane is a linear function of the total amount of fuel in gallons in its tank When graphed the function gives a line with a spe of 60 See the figure below With 49 galtons of fuel in its tank the airplane has a weight of 2194 pounds What is the weight of the plane with 83 gallons of fuel in its tank Airplane weight in pounds 2194 Amount of fuel Hallons pounds

3 Calculate the Inverse Trig Ratios EXACT VALUES ONLY Write your answer using radicals if necessary Sketch the appropriate reference triangle to help you solve non unit circle values 5 tan tan 660 6 cot sin 20 21 sin cos sec tan 1 10 9

Graph the following piecewise function f x 15 3x 3x 2 2x 2 2 10 x 3 3 x 2 2 x 5 15 10 5 5 10 15 5 10 15

are sold Round to two decimal places Answer How to enter your answer opens in new window P X 1 price If p x 41 4 find the revenue if 5 units Keypad Keyboard Shortcuts

r x Use polynomial long division to rewrite the following fraction in the form q x where d x is the denominator of the original fra d x the quotient and r x is the remainder Prev Answer 2 Points X 15x5 3x4 22x 2x 8x 3x 2x Keyboar

Ev m x x 5x2 16x 80 Step 3 of 3 Using your answers to the previous steps polynomial division and the quadratic formula if necessary find all of the zeros of the polynomial Include multiples of the same zero where applicable Answer 2 Points Separate multiple answers with commas Keypad Keyboard Shortcuts

To travel 60 miles it takes Sue riding a moped 2 hours less than LeAnn riding a bicycle to travel 50 miles Sue travels 10 miles per hour faster than LeAnn Use the equation 5 hours 3 hours 7 hours 55 hours 60 1 2 50 7 10 to determine f the hours it t

2 x 3 3 x 1 Part a What error did the student make Part b What is the correct answer to the problem LT510 PC A student wrote that 100 2x 4 ALT FN F10 Mac

Which graph represents a one to one function Graph A 222 4 O Graph A O Graph B O Graph C O They are all one to one Graph B AY 54323 Graph C 21 12 na

2 cos 112 5 1 Question Help eBook Submit Question 8 Rewrite the expression as a product or a quotient then simplify if possible sin 5x sin x Question Help Video eBook Submit Question 9 Rewrite the expression as a sum or difference then simplify if possible 6 sin 62 cos 22 Question Help eBook Submit 0 1 pt 0 1 pt

What is the solution set for the following equation 6 x x O 1 23 2 01 11 23 2 O 2 3 O 3 2

Let sin A tan 24 Question Help Video eBook Submit Question 5 Let sin A with A in QIII and find Submit sin 24 Question Help Video eBook Question 6 with A in QII and find 5 Rewrite the expression as a product or a quotient then simplify if possible 0 1 pt 399 Detai 0 1 pt 399 Details

Solve 4x 4x 1 0 by completing the square x

A customer in a coffee shop purchases a blend of two coffees Kenyan costing 3 50 a pound and Sri Lankan costing 5 60 a pound He buys 4 lb of the blend which costs him 17 15 How many pounds of each kind went into the mixture Kenyan coffee Sri Lankan coffee Need Help Read It lb lb Watch it Master It

Use the graphs of y 2 2x 1 AY 2 N and y 1 to solve the inequality 2 BRUIN X 2x 1 XA 1

Divide the rational expressions and simplify the result O 4 3 x 2 O 49 13x 12 x 2 x 1 O 24 x 1 K 4x8 x 3x 2 3x6 x 1

ev 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 guaran by the Upper and Lower Bounds of Zeros theorem AnswerHow to enter your answer opens in new window 2 Points Upper Bound Lower Bound Key Keyboard Sha

The value V of a car that is t years old can be modeled by V t 19 538 0 85 According to the model when will the car be worth 6000 Round to one decimal place as needed OA 62 4 years B 0 9 years OC 7 3 years OD 2 3 years

Find out how long it takes a 2700 investment to earn 300 interest if it is invested at 9 compounded quarterly Round to the nearest tenth of a r year Use the formula A P 1 OA 1 2 years B 64 1 years OC 0 3 years OD 24 7 years nt

a Consider the function f x 6 cos 5x i How much must increase by for 5x to increase by 2 ii What is the period of f Preview Preview b Consider the function g x 6 cos 5x 17 ii What is the period of g i How much must increase by for 5x 17 to increase by 27 Preview Previou

E 4 Find the vertex of each parabo 13 y 5x 10x 3 14 y x 4x 7 15 y x 2x 16 y x 6x 1

Find the zeros of each quadratic function from its graph Check your answer 3 5 10 24 4 O 19 2 0 2

The given equation has a solution r in the interval 35rs 2 Approximate the solution correct to two decimal places 4x 4x 9x 7 0 Round to two decimal places as needed Te

Select all the correct answers Which three pairs of side lengths are possible measurements for the triangle G 30 H 60 OGH 8 2 GI 16 OGH 8 3 GI 16 HI 7 GI 14

Find f g x and g f x and determine whether the pair of functions f and g are inverses of each other 2 x 9 f x a f g x b g f x C 2 and g x 9 X Of and g are not inverses of each other Of and g are inverses of each other