Quadratic equations Questions and Answers

uppose that f x x 8 A graphing calculator is recommended Round your coefficients to four decimal places nd f3 x 3 x c0 11 2899 c1 4 0051 c2 1 0051 c3 0 4495 di 0 enerate a sequence of 51 evenly spaced points starting with xo and ending with x50 Determine f xo 13 x g3 x 11 2899 4 0051 cos x 1 0051 cos 2x 0 4495 cos 3x f x50 and use these values to find

Question 3 Evaluate the function f x 500 1 005 at x 180 Round to 3 decimal places O 1227 047 O505 012 1 pt

bok at the graph 10 5 10 5 10 5 X 10 What are the equations of the horizontal and vertical asymptotes horizontal asymptote vertical asymptote

Approximate the solution of 9ex 23 to 3 decimal places You may use a graphing utility O 5 630 O 0 524 O 5 062 O 0 853 1 pt 0 0156

Find the exact value of logs 25 without using a calculator O 10 3 O OO 3 25 0 1 213 02 5302

Find the exact value of log4 36 log49 without using a calculator 992929 09 4

Identify the x intercept of the function y 4 log3 x 4 0 1 81 81 O The function has no x intercept O 12

18 Tell whether the function has a minimum value or a maximum value Then find the value 1 a f x 5x 10x 3 x 2x 16 Circle one min or max Value b 2 Circle one min or max Value

Identify the operation that will transform the graph of f x 4 into the graph of g x 2 4 O g x cannot be obtained by any of these tranforms g x is obtained by reflecting fix in the y axis then shifting upward 2 units g x is obtained by reflecting f x in the x axis then shifting upward 2 units O g x is obtained by reflecting f x in the x axis then shifting downward 2 units O g x is obtained by reflecting f x in the y axis then shifting downward 2 units

What is the value of the function f x 4 8e 1 7x at x 2 5 Round to 3 decimal places 85 357 412 336 506 O 0 877 55 453

How many different 8 digit phone numbers do not contain the digit 8 Assume that any digit in the phone number can be any of the remaining numbers Use the Multiplication Principle of Counting to solve the problem Answer E

Find the general equation of the plane that passes through the point A 1 1 6 is parallel to the line of intersection of the planes P1 2x y 3z 4 0 and P2 x y z 7 0 and is perpendicular to the plane P3 x 3y z 8 0

A plane is flying 2000 feet above sea level toward a mountain as shown The pilot observes the top of the mountain to be a 17 above the horizontal then immediately flies the plane at an angle of 20 above horizontal The airspeed of the plane is 100 mph After 5 minutes the plane is directly above the top of the mountain How high is the plane above the top of the mountain whe it passes over What is the height of the mountain Round to the nearest 10 feet 2000 ft aj 7 Height of plane above mountain Height of the mountain feet feet h

Find the maximum or minimum value of the given objective function of a linear programming problem The figure illustrates the graph of the feasible points z 2x 5y Find maximum and minimum 71 lea O maximum value 49 minimum value 6 O maximum value 49 minimum value 15 O maximum value 29 minimum value 15 O maximum value 29 minimum value 6

5 S x x 4x 3x x 5x 6x 8 6 4 2 6f 2 X

Write the system of inequalities for each graph 15 14 2 3 TT

y x 1 4 vertex y intercept 0 2 other points 2 4 3 2 1 5 4 3 2 1 0 2 3 y x 1 x 3 x int 0 0 vertex 2 other points 3 5 01 2 3 4 5 I

2 y x 3 x 5 x intercepts 0 0 vertex y int 0 point 2 31 2 3

y x 2 vertex y intercept 0 2 other points 5 1 y x 3 slope y intercept 0 7 6 5 4 3 2 10 9 8 7 6 5 4 3 2 1 0 01

Given that a data set has a Median of 5 and an Inner Quartile Range of 3 which is the only number below that could possibly be an Upper Quartile Q3 for the data set It may help to create or think about a box and whisker plot 2 5 9

Given a data set has the following summary statistics Minimum 20 Quartile 1 Q 24 Median 25 Quartile 3 Q 28 Maximum 30 What is the Interquartile Range IQR of the data set 2 4 10 25 4

please help me solve 4 and 5 my teacher didnt really go over how to graph these the formula and steps and how to tel the asymptote and where its at instructions are Plot one cycle of the transformed tangent function g x on the axes provided with the parent function f x tan x thank you 4 g x tan 2m 3m 3 3m 2 2 G 5 g x bit tan 4x 75 1 ba

Use the Zero Product Property to solve each equation and sketch the graph of the function 1 x 2 x 1 0 2 x 4 x 4 0 3 x 3 0

Find the zeros of each function from its graph and check your answer by factoring 7 8 f x x 4x 3 g x x x 6

Two photographs of the moon were taken at precisely the same time from two locations The lunar angles of elevation at city A and at city B were measured as 52 6875 and 52 7432 respectively The two cities are 399 kilometers apart Calculate the distance to the moon from city A on this day and compare it with the actual value of 406 000 kilometers Disregard the curvature of Earth in this calculation Select the correct choice below and if necessary fill in the answer box to complete your choice Round to the nearest thousand as needed A The distance to the moon from city A is about OB The distance to the moon from city A is about km which compares favorably to the actual value km which does not compare favorably to the actual value

Simplify the expression 5 a h h 5 a Enter the numerator and denominator separately in the boxes below If the denominator is 1 enter the number 1 Do not leave either box blank

Find out how long it takes a 3200 investment to earn 400 interest if it is invested at 8 compounded semiannually Round to the nearest tenth of nt AM a year Use the formula A P1 OA 76 4 years OB 0 8 years OC 26 5 years OD 1 5 years

Identify the function that best models the given data Trees 6 10 14 18 22 OW i 3 125x 14 5x 208 5 OW 234 1 02 OW i 3 125x 14 5x 208 5 W 0 376 1 04 Yield kg 234 376 618 960 1402

The pH of a solution ranges from 0 to 14 An acid has a pH less than 7 Pure water is neutral and has a pH of 7 The pH of a solution is given pH log H where H represents the concentration of the hydrogen ions in the solution in moles per liter Find the pH if the hydrogen ic concentration is 1 x 10 2 A 2 OB 12 OC 2

Solve the following nonlinear system algebraically Be sure to check for non real solutions 4x y 109 4 x 4 y 13 Answer

Write each fraction in terms of the LCM of the denominato 2x 1 2x 2x 1 Show Transcribed Text

Keypad Consider the following polynomial 0 tx AVUNE 0 0 NZQRC a G x x 5x 2x 10 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 guaranteed by the Upper and Lower Bounds of Zeros theorem B0AH b a 0 w window Upper Bound S Lower Bound I Keyp Keyboard Short Previous step ans

Question 15 Solve the given equation and give solutions fo log x 2 log x 1 1 O x 3 only O x 4 and x 3 O x 4 and x 3 Onone of these answers Question 16

Question 13 solve for x 2x 1 8 Ox 3 O none of these answers Ox 4

Suppose the number of glasses of water people drink in a week is normally distributed with a mean of 50 and a standard deviation of 5 glasses of water Find the probability a given person drank between 40 and 45 glasses of water 2 35 35 40 13 5 45 34 50 34 13 5 P 55 60 2 35 F 65

Find all zeros of the function f x 4x 8x 5x 1 Next Entry tip Enter the zeros exact values not decimal approximations separate commas

Find the inverse function of x 14 T x

Evaluate fog x 2 f x x 3x g x x 2 fog x

Consider the following nonlinear system of equations x 2 y 5 4 x 3 y 5 9 Step 3 of 3 Find the real solution s if any of the system by examining the graph Verify the solutions algebraically Answer Selecting an option will display any text boxes needed to complete your answer 00 1 2 3 Graph As

Graph the system of inequalities Then find the coordinates of the vertex y 6 x

Let T n be the number of ternary base 3 sequences i e character strings of O s 1 s and 2 s of length n that have no consecutive zeroes for n 1 Find a recurrence relation that relates T n to T n 1 and T n 2 Solve this recurrence relation Prove by induction that your answer

What is the coefficient of the term containing x6y in the expansion of 3x y

Graph the ellipse and give the location of its foci 49 x 3 2 25 y 2 2 1225

Find the height of the triangular pyramid when the volume is 285 square centimeters

Find the x intercept and y intercept of the line 4x 2y 8 x intercept y intercept

Which one of the following is the solution to the open sentence 15 x 10

he second order Taylor polinomial for the function f x xInx about Xo 1 is P 1 x x 1 2 Using the given Taylor polinomial approximate f 1 05 wit digits rounding and find the relative error of the cobtained value Note f 1 05 0 0512 Write down the answer and all the calculations steps in the text field elow

2 v 1 2 3 4 v 1 0 1 3 v3 0 5 6 8 and w 0 6 17 11 Note you need enter the vectors in MATLAB as columns of a matrix EXM2 If you decided that w c v V CnVn type EXA2 C1 C2 C Example if w201 302 503 enter EX1 2 35

A triangle has side lengths of 25 and 28 and an included angle measuring 78 degrees Find the area of th triangle Round your final answer to 4 decimal places units Area

If two opposite sides of a square are increased by 5 meters and the other sides are decreased by 3 meters the area of the rectangle that is formed is 84 square meters Find the area of the original square Must use a quadratic equation to solve the problem