Quadratic equations Questions and Answers

An airplane has an air speed of 230 miles per hour and a compass heading of 140 degrees A steady wind of 45 miles per hour is blowing in the direction of 181 degrees What is the plane s true speed relative to the ground What is the compass heading relative to the ground

16 Write a system of two equations that can be solved by elimination in which one or both of the equations first needs to be multiplied by a constant Explain how one of the variables can be eliminated

use the given information to find a b c d in the picture tan x 5 and sec 73 12 48 a sin a p b cos a B c tan a B T a B in quad II

Solve the triangle ABC if A 32 9 deg and c 6 1mm

Brian and Robert graphed the following system of equations Brian determined that 1 3 was a solution while Robert determined that 2 5 was a solution Is Brian or Robert correct Justify your answer y 2x 1 4x 2y 2 Instructions

Approximate the solution to In x 3 lnx 4 Round to 3 decimal places O 0 982 0 056 0 000 54 598 O 1 000

6 Determine whether or not x is a solution to 36x 3 81 O yes no

How many different 6 letter radio station call letters can be made if a the first letter must be K Y Q or N and no letter may be repeated b repeats are allowed but the first letter is K Y Q or N c the first letter is K Y Q or N there are no repeats and the last letter is J a If the first letter must be K Y Q or N and all the letters in the radio station call letters must be different then there are 25502400 6 letter radio station call letters b If the first letter must be K Y Q or N and letters can be repeated then there are 47525504 radio station call letters c If the first letter must be K Y Q or N and the last letter must be J and all the letters in the radio station call letters must be different then there are 6 letter words

K Find the number of distinguishable permutations of the letters in each word below a tilted b Billings c streets a How can this be found Select the correct choice below and fill in any answer box es to complete your cho OA P OB OC C 21 11 11 11 11

K Kelly has different books to arrange on a shelf 4 blue 3 green and 2 red Answer parts a through e below a In how many ways can the books be arranged on a shelf way s Type a whole number

In a club with 8 members how many ways can a slate of 3 officers consisting of president vice president and secretary treasurer be chosen K There are different ways a slate of 3 officers can be chosen Type a whole number

K Evaluate the permutation P 14 4 P 14 4 Simplify your answer

Graph the following equation x x 1 Step 3 of 3 Complete the graph by plotting a second point on the line Answer 2 Points Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and whenever a point is moved Howy S Enable Zoom Pan F X

mit Assignment Question 9 of 10 Step 1 of 1 Find the equation in slope intercept form of the line with the given slope that passes through the point with the given coordinates slope 0 ordered pair 4 1 Answer 2 Points 00 56 K Keyboard SH

of 10 Step 3 of 3 Graph the following linear equation Question 1 y 3 Step 3 of 3 Plot a second point on the graph other than the y intercept such that the slope of the line connecting the point and the y intercepti equal to the slope of the given equation Answer 2 Points 00 58 36 HO Points can be moved by dragging or using the arrow keys Any lines or curves will be drawn once all required points are plotted and will update whenever a point is moved Enable Zoom Pan Keyp Keyboard Shor

Question 2 of 10 Step 1 of 1 Find the slope determined by the following pair of points AnswerHow to enter your answer opens in new window 2 Points 6 2 3 2 Slope Keyboard Sh Selecting a radio button will replace the entered answer value s with the radio button value If the radio button is not selected the entered ans used 00 58 Undefined

Question 1 of 10 Step 2 of 3 Graph the following linear equation Step 2 of 3 Plot the y intercept of the linear equation on the graph Answer 2 Points Points can be moved by dragging or using the arrow keys y 3 101 Y Enable Zoom Pan

Correct At a certain time of day a tree that is x meters tall casts a shadow that is x 28 meters long If the distance from the top of the tree to the end of the shadow is x 8 meters what is the height x of the tree Answer How to enter your answer opens in new window Keypad Keyboard Shortcuts

Question 9 of 12 Step 1 of 2 Consider the following quadratic equation 11 18 Correct Answer G x 3x 1 5 Step 1 of 2 Using the standard form ax bx c 0 of the given quadratic equation factor the left hand side of the equation into two linear factors Keypad Keyboard Shortcuts

Question 17 of 21 Step 1 of 1 17 23 Correct R Divide using the division algorithm Write your answer in the form Q where the degree of R is less than the degree of D D Answer 412211 15 4t 5 5 Keyp Keyboard Short

Question 14 of 21 Step 1 of 2 Consider the following quadratic equation Correct x 10x 25 0 Step 1 of 2 Using the standard form ax bx c 0 of the given quadratic equation factor the left hand side of the equation into two linear factors Answer Keyp Keyboard Shor

Quiz 4 5 4 8 MAT 100 08 Interme Lesson Chapter 4 Review Certify Mo Answer 7 23 Correct Home CM Connect Question 8 of 21 Step 1 of 1 Find the product of the binomials using the appropriate special product difference of two squares square of a binomial sum or square of a binomial difference x 6 x 6 Mail Cloutier Max Out a 5 Keypad Keyboard Shortcuts

Find the vertex focus directrix and focal width of the following parabola Graph the equation x 8x 8y 0 The vertex is Type an ordered pair The focus is Type an ordered pair The equation of the directrix is Type an equation The focal width is Type a number Use the graphing tool to graph the equation 10 9 8 7 6 3 2 Clear All Draw 10 9 165 8 7 4 3 2 1 1 2 3 4 5 6 7 8 9 10 5 6 7 8 9 1

Consider the following quadratic equation Correct Answer 9x 15x 0 Step 1 of 2 Using the standard form ax2 bx c 0 of the given quadratic equation factor the left hand side of the equation into two linear factors Keyboa

In AABC we are told that side a 33 side b 45 and side c 74 Solve for angle C Express your answer as a decimal rounded to two decimal places

Find the value of the rational expression below at 2 3x 3 x x 3 Simplify and give your answer as a fraction if necessary

Find cos 123456789987654321246813579 A 0 B 1 C 1 D Undefined

Sketch a graph of the function f x cos x 70 4 704 Jd2 37 4 H 57 4 37 2 77 4 5 20t

elect the correct choice that completes the sentence below wo polygons are similar if their corresponding angles have the same measure and the lengths of their corresponding sides are in congruence equality

Find the equation in slope intercept form of the line passing through the points with the given coordinates 1 3 2 0 Answer

Question 8 of 19 Step 1 of 1 Find the equation for the line that passes through the point 1 3 and that is perpendicular to the line with the equation x 4 10 Correct 107 Enable Zoom Pan 10

Use the information 1 Center 14 15 Radius 1

se the graph of y g x given above to find 0 g 1 1 Og 3 1 The domain The range y g x 5 4 3 2 1

A nondisjunction mutation results in a n condition of a cell A haploidy C multiploidy B diploidy D aneuploidy

Consider the following linear equation 3 Step 1 of 2 Determine the slope and the y intercept entered as an ordered pair of the equation above Reduce all fractions to lowest terms 2x 4 Answer y Slope y intercept Key

Evaluate the given integral Use exact values expressions 2x x x 1 x 1 x 1 S dx

Which of the following is a survey given to every 20th or so person from a list of the whole population A convenience sample C random sample B self selected sample D systematic sample

Graph the lines y 4x y 3 and x 1 6 5 4 3 2 1 7 6 5 4 3 2 1 1 2 14 6 4 1 2 3 4 56

1 Evaluate the integral 2y cos xy dydx 0 x

From the graph of f x determine the graph of f x 12 10 8 6 4 y 12 10 8 00 4 2 2 T 6 8 10 12 2 00 8 10 12

Sketch the graph of X 4 y 33 3 1

Question 6 of 12 Step Given f x find g x and h x such that f x g h x and neither g x nor h x is solely x 5 4x 3 Answer g x h x f x

Consider the following functions X 4 f x x and g x x 2 2 Step 1 of 2 Find the formula for f g x and simplify your answer Then find the domain for f g x Round your answer to two decimal places if neces Answer f g x Domain E Keyboa

Correct Find the equation in slope intercept form of the line with the given slope that passes through the point with the given coordinates Answer 9 slope ordered pair 0 7 5

Find the surface area of the right prism below Enter just the numeric value below Do NOT include the unit of measurement 5 cm 12 cm 10 cm

rev Solve the following system of linear equations by addition Indicate whether the given system of linear equations is consistent inconsistent or dependent If the system is consistent find the solution Answer 2 Points 3y 3x 6 15y 5x 10 Selecting an option will enable input for any required text boxes If the selected option does not have any associated text boxes then no further input is required O Consistent Inconsistent Keypad Keyboard Shortcuts Dopondent N

Find the values of the six trigonometric functions of 0 HI3 TC 7 0 8 0 57 4

A 6000 seat theater has tickets for sale at 28 and 40 How many tickets should be sold at each price for a sellout performance to generate a total revenue of 186 000 The number of tickets for sale at 28 should be C

it has risen to 10 3 million Write a function of the form P t is 8 5 million and on January 1 model the population P t in millions years after January 1 2000 Then use the Puert model to predict the population of the country on January 1 2012 Round the value of 7 to five decimal places t P t 10 3e0 01921t 38 1 million P t 10 30 019216 13 million OP t 8 5e0 01921t 10 7 million OP t 8 5e0 01921t 31 4 million

A P 1 and A Pert TL Compounding Option n Value Result a Daily b Continuously Compounding Option Value 365 n a a Daily b Continuously O Compounding Option Value 1 n a a Daily b Continuously table Compounding Option n Value 1 n a a Daily b Continuously Result 17 199 44 17 199 95 Result 17 022 23 17 199 95 Result 17 022 23 18 231 95 F