Quadratic equations Questions and Answers

If money is invested in an account earning 3 85 annual interest that is compounded continuously how many years will it take the amount to double Round your answer to the nearest tenth vor bolour

Minor 1st fight 66 points Minor 2nd fight 64 points Minor TB Round 1 66 points Minor TB Round 2 60 points Minor TB Round 3 56 points Major 1st fight 62 points Major 2nd fight 52 points Major 3rd fight 63 points Major TB Round 1 63 points Major TB Round 2 48 points Major TB Round 3 55 points Can you find the mean median range and mean absolute deviation MAD for all the fights Press Submit to check your work Mean Median Range MAD

You are choosing between two health clubs Club A iffers membership for a fee of 29 plus a monthly fee of 27 Club B offers memebershuo for a fee of 17 plus a monthly fee of 33 After how many months will the total cost of each health club be the same What will be the total cost for each club You are choosing between two health cube Club A offers membership for a fee or 20 plus a monthly fee of 27 Cubos members for a fee of 17 plus a minely fee of 33 After how many months will the tal cost of each he cd be the same What will be the stat cost for each oke months the tal cost of each health cub will be the same

b Consider the function f z Logz x y y r y 2 x i 22 7 4 i at which points does the derivative exist ii derive a formula for the derivative of f z and evaluate its value at i iii where is function f analytic Sketch the domain of analyticity 2xy y

3 Consider the recursive equation of a filter given by y n 2 a y n 1 a y n x n 1 n20 A Design the data dependency graph for the architecture B Design an isomorphic architecture of the multiplier

1 At which values in the interval 0 2 will the functions f x 2sin 0 and g x 1 4sin 0 2sin 0 intersect

What is the set of all natural numbers N less than 6 in another way Choose the correct answer below OA X XEN x 6 OB xxEN x 6 OC xxEN X 6 D xlx N x 6

A sporting event held at a high school had 135 attendees The event earned a total of 930 Admission to the event was 10 for adults and 4 for students How many adults a and how many students s attended a s 135 10a 4s 930 adults students Enter

which side length is closedt to the value of HJ Please show all work 27 Which side length is closest to the value of HJ J 16 in 37 a 12 1 in b 26 6 in c 20 0 in d 21 2 in

Simplify the given exponential expression 3 X 2

Simplify the given exponential expression

1 The mean life of a tire is 30 000 km The standard deviation is 2 000 km a 68 of all tires will have a life between c What percent of the tires will have a life that exceeds 26 000 km b 95 of all tires will have a life between d If a company purchased 2 000 tires how many tires would you expect to last more than 28 000 km

Given the function P x x 3x its y intercept is its x intercepts are x x1 x2 X3 When y answer When x answer and x3 y 10x TITU x2 with Input or for the Input or for the

Evaluate the given exponential expression 58 53 58 3 11 Type an integer or a fraction Simplify your answer

Use the numerical solver on your graphing calculator to find a solution for the equation in the interval 4 7 x 3 7x 14 5x 47 656 Make sure your answer is accurate to at least two decimals

Is 1 2x 3x a linear combination of the polynomials in 1 x 2 x Find such a linear combination or show that no such combination exists

Solve each triangle ABC that exists A 43 5 a 8 9 m b 10 8 m Select the correct choice below and if necessary fill in the answer boxes within the choice OA There is only one possible solution for the triangle The measurements for the remaining angles B and C and side c are as follows B C 0 Round to the nearest tenth as needed OB There are two possible solutions for the triangle C Round to the nearest tenth as needed 0 The measurements for the solution with the longer side c are as follows 0 B C Round to the nearest tenth as needed The measurements for B Round to the nearest tenth as needed the solution with the shorter 0 Round to the nearest tenth as needed C Round to the nearest tenth as needed Round to the nearest tenth as needed OC There are no possible solutions for this triangle C Round to the nearest tenth as needed side c are as follows Round to the nearest tenth as needed

7 Determine all solutions of equation sin r 2 sinar 0 8 Determine the expression V if In V 3 ln 2 x In x 7 Determine all reR for which In V is defined V a 0 km kez 2 2 7 2 1

2 Given the following graph of f x a State the Domain 1pts b State the Range 1pts c State the interval s on which the graph is increasing 1 pts d State the interval s on which the graph is decreasing 1pts 764 3 10 25 4 5 M N 6 WN 3 Y 3 4 5 6 7 8

What is the slope of the line tangent to the curve y 3x 6x 3 at x 4 O y 30 O y 60 O y 51 O y 54 O No correct answer

0 A sinusoidal function of the form y asin x c d is changed by increasing c by 5 The new graph will have transformed A 5 units right B 5 units down C vertical expansion by a factor of 5 D 5 units left 10

2 A florist is making 5 identical floral centerpieces for a corporate event She has 610 to spend and wants 24 flowers in each centerpiece Roses cost 6 each carnations cost 4 each and daisies cost 3 each She wants to have twice as many roses as the other 2 flowers combined for each centerpiece How many roses carnations and daisies will she put in each centerpiece

Find a real general solution of the given system of differential equations Identify the trajectories y y1 y2 y2 2y1 3y2

A storage facility has a cross section modelled by the relation h 0 5d 2 3d where h is the height in metres and d is the horizontal distance in metres What values of d are valid in this relation Explain

Find the center foci and vertices of the ellipse Graph the equation x 2 y 4 16 81 Type the coordinates of the center of the ellipse in the boxes below h k Type the coordinates of the vertices in the boxes below Vertex above center Simplify your answer Simplify your answer Type the coordinates of the foci in the boxes below Simplify your answer Focus below center Simplify your answer Which graph shown below is the graph of the ellipse OA Vertex below center Focus above center mm mmm 5 5 10 10 153 1 O OB 15 104 ITTH 55 10 Q O G O C mmm 10 5 OD D m ITT 10 5 1 5

15 14 15 11 109 f x B S A 4 F 2 10 11 W

One 8 oz serving each of coffee energy drink and soda contains 209 mg of caffeine One serving of coffee has 7 mg more caffeine than two servings of soda One serving of energy drink contains 39 mg less caffeine than one serving each of coffee and soda Find the amount of caffeine in one serving of each beverage The amount of caffeine in one serving of coffee is mg in one serving of energy drink is mg Type whole numbers mg and in one serving of soda is

5 Given piecewise function f x Graph the function 2x 3 if x 4 x 1 if 4 x 10

10 Prove the following identities cos sin 1 2 sin 0

Use expansion by cofactors to find the determinant of the matrix 2 4 3 003 1622 0 0 4 3 4 00434 0025 5 1 0 0 0 0 1 00001 01 Find the values of 2 for which the determinant is zero Enter your answers as a comma separated list

Factor f x 2x 5x 5x 14x 8 into linear factors given that 2 is a zero of f x f x 2x 5x 14x 8 Factor completely

17 In how many ways can 15 people be chosen from a group of 22 Show your work

1 Sketch the graphs of the functions below Be sure that your graph includes all real zeros multiplicity and end behavior f x 3x x 2 5 x H

Find an equation for the plane consisting of all points that are equidistant from the points 6 2 3 and 2 4 7

4 Fill in the 60 9 length 5 of each segment in the following figures 6 30

2 Factorize i X x 12 ii 8x 125 iii X 81x

Independent Practice Homework I Fill in the length of each segment in the following figures 1 2 7 10 2 3

Skill Practice 10 Use the function f pictured to find a f 2 b f 4 c All x for which f x 3 d All x for which f x 1 e The x intercept s f The y intercept g The domain of f h The range of f f x 3 y f x

1 4 7 X 45 Find the value of x and y in each triangle 2 30 30 11 X 18 8 N 2 12 45 8 14 60 X 18 10

4 7 30 30 11 45 X 2 8 2 45 12 14 3 60 X

axis length of the straight latus and eccentricity of each one then plot the graph Prof M Ruiz Prec lculo Avanzado 20 21 Kuta Software LLC All rights reserved Pr ctica de elipses Identifique el centro v rtices co v rtices focos longitud del eje mayor longitud del eje menor longitud del latus recto y excentricidad de cada uno Luego traza la gr fica 49

7 4 30 Find the value of x and y in each triangle 1 30 11 y y X 2 160 8 X y 12 60 30 6 3 9 14 y 8 16 60

Simplify the algebraic expression 2 2x 2 3 2 2x 2 3

Evaluate the algebraic expression for the given valu x 5x 4 for x 6 When x 6 x 5x 4

Evaluate the algebraic expression for the given values of the variables x 3 x y for x 6 and y 2 When x 6 and y 2 x 3 x y

Assume that there are no reflections of the function over either axis a Give the equation of the sine function with the following 7 Amplitude 3 period W and phase shift f x 8 f x b Give the equation of the tangent function with the following Vertical stretch compression 9 period and phase shift 2

3 Let 2 A 1 3 108 Compute u U U3 and u using the power method and uo a b Explain why the power method will fail to converge in this case

1 What is the exact value of cos 105 using the half angle identities 6 2 O 6 2 6 2

The graph off in blue is translated a whole number of units horizontally and vertically to obtain the graph of h in red The function f is defined by f x x Write down the expression for h x 4 3 2 h x 0 6 5 34 2 43 2 3 4 5 23 4 5 6 7 M 0 6 00 08

Find the domain range x intercept and y intercept for f x 3 Choose all answers that apply Select all that apply Domain 0 Range 0 00 Domain 0 00 Range 3 00 Domain 0 0 Range 3 0 y intercept 3 y intercept 4 y intercept