Quadratic equations Questions and Answers

Using the graph below solve the equation x2 3 x 1 f x x 3 g x x 1 N 6 4 9 x 1 or x 2 y 2 or y 1 x 1 73 or x 1 73 y 3 or y 1

Using the graph below solve the equation 2x 4x 3 3 5 g x 3 3 2 0 4 x 0 6 or x 2 6 x 5 or x 3 x 1 or x 3 1 2 3 4 x 5 or x 1 f x 2x 4x

2 Classify the real number Choose all that app 1 25 Rational Integer Natural Irrational Whole

1 The real number 49 is irrational N True O False

Graph the solutions of the linear inequality 8x 2y 6 6 2 5 4 3 2 1 9 3

A company is building Laptops The deluxe model takes 3 hours to produce and a basic model that takes 1 hour to produce They have enough supplies to make 1000 laptops and 1600 hours of labor Let x represent the number of deluxe models and y represent the number of basic laptops How many of each should they sell to maximize the profit if the company makes a net profit of 500 on the deluxe model and 150 on their basic model basic 0 1000 0 0 Build 0 Deluxe laptops and 1000 Basic laptops Build 300 Deluxe laptops and 700 Basic laptops Build 533 Deluxe laptops and 0 Basic laptops Build 533 Deluxe laptops and 700 Basic lantons 300 700 533 3 0 deluxe 4

Find the inflection point s for the function f x 2x6 6x5 17x 3 O O O O a 0 17 and 2 113 b 0 0 and 2 0 c 0 3 and 2 95 d 2 95

Write a system of equations to represent the problem Tickets to a movie cost 4 for children 5 for senior citizens and 7 for adults O the opening weekend of the new Avengers movie there were 2 400 tickets sold at one theater There were 14 700 in ticket sales There were also twice as many senior citizens as there were children x y z 2 400 4x 5y 7z 14 700 2x y 0 x y z 14 700 4x 5y 7z2 400 2x y 0 x y z 2 400 4x 5y 72 14 700 x 2y x y z 14 700 4x 5y 7z 2 400 x 2y z 0

Determine the local maximum and minimum values of f x 2x 6x 48x 3 using the second derivative test when it applies O O O O a Local minimum value is 157 at x 4 Local maximum value is 59 at x 2 b Local maximum value is 36 at x 4 Local minimum value is 36 at x 2 c Local minimum value is 36 at x 4 Local maximum value is 36 at x 2 d Local maximum value is 157 at x 4 Local minimum value is 59 at x 2

Determine the interval s over which the graph of y x4 4x 7 is concave up or concave down O O O O a Concave up on 3 0 Concave down on 3 U 0 3 b Concave up on 2 U 2 00 c Concave up on 0 2 Concave down on 0 U 2 00 d Concave up on 0 U 2 00 Concave down on 0 2

Determine the intervals over which f x x4 4x 12 is increasing or decreasing O O O O a f x is decreasing on 3 f x is increasing on 3 b f x is decreasing on 0 3 f x is increasing on 3 c f x is decreasing on 0 U 0 3 f x is increasing on 3 d f x is decreasing on 0 3 00 f x is increasing on 0 3

Find all the critical numbers of f x x 3x O O O a x 2 and x 0 b x 2 c x 0 and x 3 d x 0 and x I 2 13

Find all the critical numbers of f x x 3x 1 then determine the local minimum and maximum points by using a graph O O O a Critical number x 2 b 2 3 is a local maximum Critical numbers X 33 and x 0 2 59 is a local maximum and 0 1 is a local minimum 3 27 c Critical numbers x 2 and x 0 d Critical number x 0 2 3 is a local maximum and 0 1 is a local minimum 2 3 is a local maximum and 0 1 is a local minimum

A sphere is to be designed with a radius of 2 25 feet Use differentials to estimate the maximum error when measuring the surface area of the sphere if the possible error in measuring the radius is 0 15 feet Hint The formula for the surface area of a sphere is A r 4tr a 63 5426 ft b 56 5487 ft c 9 5426 ft d 8 4823 ft

Solve the following system of equa y x 3x 2 y 5x 10 If there is more than one solution D

Divide 16v 12v4 41 4v Simplify your answer as much

5 2 86 The solution set is Simplify your answer Type an integer or a c

the ALEKS graphing calculator t y 2x 5 y 3x 18x 24 nd to the nearest hundredth here is more than one solution pplicable click on No solution

The Edsel 5600 computer can process the payroll for Kentucky College in 9 hours The Digital Four computer needs 15 hours to process the same payroll How long would the job take if the Edsel 5600 and Digital Four computers were used together to process the payroll a Let t the time to complete the payroll Write the equation you would use to solve this problem b Now solve your equation NOTE Give your answer below first as a reduced fraction and then as a decimal rounded to 3 places Working together the two computers will complete the payroll in hours write as a fraction which as a decimal is 10 pts 1 D Add your work

Write the following expression as a sum or difference of logarit completely loga 20 W 7 18

Write the following expression completely log 100y w Question Help as a sum or difference of lo

Write the following expression as a sum or difference completely log z y

Find the probability that event A or B takes place A B 4 13 3 13 4 13 2 13 P A or B 2

The function f x is one to one Find f1 analytical

Click here to watch the video https Factor the by grouping 2x 3 5x 2 10x 25 expression

5 Prove using a theorem covered in class that g x 0 5 sin x 2 has a unique fixed point on 0 27 Use the fixed point iteration method to find an approximation to the fixed point that is accurate to within 10 2 meaning the difference between g x and is within 10 2 Use the theoretical result to estimate the number of iterations required to achieve 10 2 accuracy How does the theoretical estimate compare to number actually needed

QUESTION A flower shop owner wants to pay off the loan on a used delivery van that was purchased 12 months ago The 2 year instalment plan used to purchase the van included a 280 finance charge and called for payments of 210 monthly What amount is needed to pay off the loan OA12374 77 OB1253058 OC12473 62 05 12447 20

Jasmine raised 750 pounds of green beans to sell She sold 12 percent to friends who picked the beans themselves for 0 75 per pound She sold the rest at the local market for 1 2 per pound a How many pounds of beans were sold to friends b What income was received from the sale of the beans to friends c What income was received from the sale of the beans at the local market

24x1 25 X 3 12 A 2x y 2 6y 3 12 B 12x y 2y C 12x 5 V 3 D 12x y 6

Which is the simplified form of the following expression 3 V 16 X A 8 B 4 C 2 2 D 2

In simplest radical form 64x X 5 8 A 8x y 5 8 B 32x y 10 16 c 8x y 10 16 D 32x y 10 16 is equal to

Given the trinomial what is the value of the coefficient B in the factored form 2x 2 14xy 36y 2 2 x By x 2y

K Find the number of s 5 6 7 8 9 How many subsets Type a whole n

A local store ordered a shipment of video game systems The store sells 30 systems weekly to customers As a result the number of systems in stock decreased to 190 in the first week Which statements correctly interpret the rate of change or the y intercept of the given situation Select all that apply A There are 30 systems sold each week B There are 190 systems in the shipment There were 220 systems in the shipment D The situation can be modeled as y 30x 190 E The situation can be modeled as y 30x 220

What is the velocity of a neutron mN 1 67x10 24 g which avelength of 580 nm exhibit

If y 0 which expression is eqivalent to the one shown below X A B C tv y 16 t 16

An equilateral triangle is constructed on each side of a square with side length 2 The four outer vertices are then joined to form a large square Find the side length of the large square

Paul Durant invested 100 000 at 6 compounded daily for 4 years and 100 000 at 6 compounded monthly for 1 year a What is the interest earned for 1 year on each investment b What is the annual percentage yield for each investment

Use the ALEKS graphing calculator y 2x 8x 5 y 2x 5 Round to the nearest hundredth If there is more than one solution If applicable click on No solution x y 11

A combined total of 60 000 is invested in two bonds that pay 5 and 9 simple interest The annual interest is 4 560 00 How much is invested in each bond

5T 6 a Find a coterminal angle in the interval 2 0 5T 6 b Find a coterminal angle in the interval 2 4 Given an angle with measure answer the following questions 5T 6 F

D E and F are points of tangency in the given circle If DB 5 AF 4 and EC 7 what is the perimeter of triangle ABC

dentify an example of a solid from which a triangular hexagonal and trapezoidal cross section can be formed O cone O sphere O cylinder O triangular prism hexagonal prism

Find the interpolating polynomial for the given table of data 3124 7 1 1

10 5 9 6 3 3 6 9 y to X 10 Write the standard equation for the hyperbola graphed above Hint Find the corner of central box

a The graph of y h x is shown Draw the graph of y 2h x 1 y Show Transcribed Text 6 X G b The graph of y g x is shown Draw the graph of y g x 4 Ty 1 X X

Question 1 Evaluate the logarithm log1 30 3 decimal places

Question 6 Condense the expression 5 log x logy to th O 5 log x logy O 108 5y 5x log log

Question 8 Find the exact value of log4 36 log O 9

Question 2 Put the expressions in the appropriate c log38 log 8 log8 The expressions are equivalent