Quadratic equations Questions and Answers

Let W be the set of all symmetric 2x2 matrices Then W is a subspace R 2 Select one O True O False

1 2 3 let A 6 5 4 det A 7 then det A 10 14 17 Select one a 7 b 1 7 c 7 d 1 7 O O O

la lb 1c f x 2 750x 2 000x 3 000 1 200 x Determine the exact values of the roots of f x using Completing the Square method Possible Points 3 1 or 0 Determine the exact values of the roots of f x using the quadratic formula Specify the type s of roots of the function Possible Points 2 1 or 0 Possible Points 2 or 01

Use synthetic division to show that x is a solution of the equation and use the result to factor the polynomial completely List all real solutions of the equation Enter your answers as a comma separated list x x 14x6 0 x 2 6 X

with variables X1 X2 X3 X4 PROBLEM 3 For a tuple of vectors A 2 2 1 1 0 0 1 1 2 2 0 0 2 2 1 1 in R4 2p verify if A is a basis of R4 4p find a basis and the dimension of span A 4p verify if 3 2 2 2 e span A

Which relation is a function O a O b O c O d S4 3 2 1 1 3 2 1 4 a 5 4 3 2 3 S4 3 2 1 1 2 1 3 2 2 1 3 4 2 3 2 4 3 2 14 A 2 1 2 3 3 3 4 INN 4 5 5 5

The graph of a piecewise defined function is given Write a definition for the function that best describes this graph B 3 0 0

What are the peaks of a periodic function O a the highest points of the graph Ob the x intercepts of the graph Oc the extremes of the graph d the lowest points of the graph Question 5 1 point Which function represents f x x 5 4 written in standard form O a f x x 10x 21 Ob f x x 10x 29 Oc f x x 10x 21 d f x x 10x 21

The function f is given by the equation f x x 3 x 21 The graph of the function g x is shown below Express the function g x in terms of f x 4 2 4 2 2 6 a a

Solve the right triangle with A 37 degrees and b 54 9

3 A city bus charges 0 25 per ride if you first buy the 10 discount card Let B be the total cost in dollars of taking n rides on the bus a Complete the table for function B for several inputs h 71 10 0 10 2 95 4 8 5 B r b Sketch a graph of the total cost B in dollars for the number of bus rides from 0 to 10 2 c Write an equation for B as a function of n B 10 bus rides Cost less than 17 16 15 14 132129 10 2 4 6 8 10 B 0 10 Ben B n 1 25 n22

olve the absolute value inequality Graph the solution set and write the solution in interval notation a b 4 5 114 25 3 IT 7 114 25 6 25 2 25 6 25 6 25

Solve the inequality Write the answer in interval notation 4x24 and 14 x 7 a 7 00 b 1 7 c 0 00 d 1 7 a Ob c O d

Solve for the indicated variable C 27r for r 2C a r a C 2T Ob b r T d Oc c r 2 C T 20 d r

You create a post on a social media site and tag five friends In the second round each of your friends tag five people and the process continues a Write a function that represents the number of people who are tagged in the nth round an b In which round will 3 125 people be tagged

The value of a car is 27 300 It loses 12 of its value every year a Write a function that represents the value y in dollars of the car after t years y b Estimate the value of the car after 5 years Round to the nearest dollar

What is the equation of the line in point slope form given a slope of 23 and the point 4 7 y 7 2 3 x 4 y 7 2 x 4 y 4 x 7 y 7 2 x 4

7 3n 2n A C 9 29n 52n 32 8n 7 A 4 1 5 B 7 D B D 4 3 with wif 3 7 8 10 8 9x 45x28 2x B A 6 6 D 10 a 7a 25 5 3a 1 A B D 5 2

5 Radical Solve each equation Remember to check for extraneous solutions 1 x 6 x 2 2 x x A 4 3 A 1 2 C 5 2 C 1 3 3 3n n A 0 3 C 1 0 equations quadratics 5 a 12 a A 3 4 C 4 4 7 V 2r 3 r 2 A 1 C 1 1 9 9 2b b A 0 4 C 0 2 B 5 3 D 2 B 0 D 5 0 B 3 D 4 B 5 1 D 4 1 B 2 0 D 0 2 4 6 8 10 4 k 4 11 A 5 C 1 3 A 3 C 3 B 1 D 1 2 2k 6 m 3 2m 6 8 20 a a A 4 C 1 5 B 1 D 1 1 B 3 5 D 3 3 B 1 5 D 1 4 10 a 4 6 a A 2 1 C 5 B 2 D No solution

30 1 2t 4 31 3 4 x 20 32 51 2x 40

If A is a 4x4 matrix A such that det A 2 then det 2A 1 Select one True False

15 2x 124 X 16 x 1 6 4x 17 2x x 1

22 min a b c 4a 5b 7b 4p 23 6x 5y 5z 2y TE Yan t The Answer is 41 Yan t The Answer is 57

5 pts 2 Find the exact value of the remaining trig functions of 0 Write answer as a simp fraction simplified radical and rationalize the denominator if needed Sin 0 5 13 9 T 2 0 T

15 In the equations above a and b are constants If a is b minus 3 which of the following is true A x is y minus 0 5 5x 2a 2x 3 x is y minus 1 5x 2x 2a 3 is y minus 2 3x 2a 3 B 5x 2a 2x 3 5y 2b 2y 3 C D x is y plus 3 5y 26 2j 3 Sy 2 26 3 3y 26 3 a 6 3

Part 2 of 2 Rewrite the function to make it easy to graph using transformations of its parent function Describe the graph y 4x 20 4 y 2 x 5 4 Simplify your answer The graph vertically by a factor of and is translated unit s to the BEZD and unit s

Rewrite the following radical function to identify its transformations from the parent graph f x 8x 24 Rewrite the function so that its transformations can be identified f x 2 x 3 Describe any vertical stretch or compression Select the correct choice below and if necessary fill in the answer box within your choice O A The given function is compressed vertically by a factor of from the parent function Type a whole number OB The given function is stretched vertically by a factor of Type a whole number OC There is no stretch or compression from the parent function

Given the following equation f x 3 2 and the table 5 4 3 2 1 0 1 2 g x 30 14 6 2 0 1 1 5 1 75 Select which of the following statements are true X The y intercept of f x is 4 above the y intercept of g x g x f x on the interval 4 1 Of x is increasing and g x is decreasing over the entire domain The x intercept off x is 2 to the right of the x intercept of g x The x intercept off x is 2 to the left of the x intercept of g x The y intercept of f x is the same as the y intercermof g x

Solve 7x 35 Select the correct choice below and if necessary fill in the answer box to complete your choice OA The solution s is are x Type an integer or a simplified fraction Use a comma to separate answers as needed OB There is no solution

Given that f x 2x 1 and g x 1 x find the composition function fog x f g x expression f g x expression fog x expression fog 2 Enter your solution as a fully simplified Enter your solution as a fully simplified Enter your solution as a fully simplified Simplify your solution completely

Use the graph to determine a the function s domain b the function s range c the x intercepts if any d the y intercept if any and e the missing function value indicated by the question mark y to 5 X 110

Find z such that 4 8 of the standard normal curve lies to the right of z Round your answer to two decimal places LUSE SALT Z X

Using colored pens or pencils show how 2 chromosomes are passed from the mother cell to the two daughter cells O 0 8

Use exponents to condense the expression below Answer Attempt 1 out of 2 a c c Type the base then use the a button or use the symbol on your keyboard for the exponer Condensed form a

Find the least positive value of 0 sec 50 2 1 cos 60 6

through the given point and are parallel to and perpendicular to the given line v 9 0 4 5

Point slope form Complete the point slope equation of the line through 2 6 and 1 1 Use exact numbers y 6

Equation 30 y 5x 30 23 5x Slope 1 1 5 Point 4 1 X 1 1 X X 261 x 4 y x 912 Equation 2y 1 dry Slope 9 Point 2 15 15 9x 18 9x 18 15 9x13 7 9x 3 y 16 4x 12 y 4x 12 16 Equation 4X 4 6 y 8 1 Slope Point 18 17 17 1 x 18 D Equation Slope 3 3 Point 9 7 37 21 2x 18 3x 2x 18 fal 3Y 3 2X 39

18 8 3 a 19 m 3 10 Yan t The Answer is Yan t The Answer Yan t The Answe

Write your response in interval notation using the symbol U when necessary 8 7 6 2 5 4 3 2 1 8 7 6 5 4 3 2 1 0 1 Y 1 2 3 4 5 6 7 8

of luck you got this 1 NASA can create a weightless environment by flying a plane in parabolic paths The height in feet of the plane h after t seconds after the start of the flight path can be represented by h 11t 700t 21 000 Passengers start to feel weightless at 30 800 ft How many seconds after the start of the flight path does this first occur 10 pts

5 Two cars leave an intersection at the same time one heading north and the other heading west Some time later the cars are 150 mi apart If the car heading west travels 40 mi farther than the car going north how far does the car heading north travel Round the answer to the nearest tenth 10 pts 150 mi x 40 mi x mi

4 10 pts Determine the restricted value s and the solution s of the following rational equation 4 6 y 5 y 5 y 25

3 10 pts Determine the solution s of the following rational equation x 1 x x 2 2x 1

Given the set A 4 6 4 10 6 1 7 5 3 6 7 3 2 find n A n A

Which of the following is NOT a correct use of an ellipsis O 1 2 3 100 O 1 2 3 4 5 O 1 2 3 O 2 1 0 1 2

4 Factor the trinomial x x 72 A X 8 x 9 B x 9 x 8 C x 2 x 36 D x 36 x 2

QUESTION 1 The function f x x 3 0000 is a power function is not a power function O is a polynomial O is not a polynomial

5 Factor 4x 81 A 4 x 9 x 9 B 4x x 81 C 2x 9 D 2x 9 2x 9 Recall a b a b a b

4 3 1 5 4 3 2 3 4 The function graphed above is Increasing on the interval s Decreasing on the interval s