Quadratic equations Questions and Answers

Solve this system of equations 2x y 4x 4y 3 4

Find all solutions of each of the following equations giving your reasoning 3 2 cos s tan t 2023 1 2 sin u sin 2u

Solve x 7 6 X Give your answer as an interval

The number of feet it takes for a car traveling at a miles per hour to stop on dry level concrete is given by the polynomial 0 006 x 0 6 x Find the stopping distance when x 50 mph The stopping distance at x 50 mph is feet

The fuel efficiency in miles per gallon of a car going at a speed of a miles per hour is given by the 1 polynomial 4 22 135 x Find the fuel efficiency when x 45 mph 3 The fuel efficiency when x 45 mph is mpg

A manufacturer of stereo sound speakers has found that the revenue received from selling the speakers at a cost of p dollars each is given by the polynomial 4p 630p Find the revenue received when p 70 dollars Revenue received when p 70 dollars is dollars

Add or subtract the polynomials as indicated 10y 8y 16 y 6y 11 8y 7y 10 11

Convert this decimal into its fractional form simplified completely 0 600

Find the slope of each line Identify the steeper slope

Question 22 2 points AnthineticSeries Which summation statement below correctly describes the partial sum shown below 8 11 14 17 20 23 26 O 8 37 a l 1 5 3m x 1

Infinite Geometric Series Determine the infinite geometric series sum given the first term is 6 a1 6 and the common ratio is 0 25 r 0 25 7 5 8 8 5 There is not enough information Question 25 2 points G

Question 28 2 points Provided Alex purchased 1 adult ticket and 2 student tickets for a total of 22 Jen purchased 1 adult ticket and 3 student tickets for a total of 28 What is the price of a student ticket Let a cost of adult ticket Let s cost of student ticket Write the two equations which could be used to solve this problem using elimination a s 22 a s 28 2a s 22 3a s 28 2a 2s 22 a 3s 28 a 2s 22 at3r 28

Question 4 2 points The function f x a c is graphed at the right What is the range of the function f x shown 00 Range x Range fx a Range fixy b N ac A 10

Jogged for 20 minutes The next day he wanted to jog for 3 minutes more than the pervious day He wanted to continue increasing by the same amount like this for every one of the days in a week If he succeeded in doing this how many total minutes did he run for the week 38 minutes 58 minutes 174 minutes

x 1 x 3x 8 Show Transcribed Text find the decomposition of the partial fraction for the poprepeating irreducible

Solve this equation using the Quadratic Formula Give BOTH exact and approximate answers Show all work b b 4ac 2a 1 0 21 6x 3 a b C x

Consider the functions x x 2 g x 3x What is the value of gof 1 01 5 06 09

Given the graph of the parent function is x 1403 L Ly 2 W H 11 13 g x 4x 2 4 8 x x 2 4 g x 4 x 2 4 7 201 8 x Which function below correctly describes the graph of g x Og x x 2 4

1 1 1 2 2 3 find the exact value of S G 1 3 4 1 n n 1 Show Transcribed Text n n 1

a Suppose the parent function is f x e Transform the parent function points 0 1 and 1 e as shown in Example 2 on p 371 Use those points to help you sketch an accurate graph of the transformed function Show the asymptote and compute any intercepts Write the domain and

prove the following by mathematical induction G c 3n n 1

The midpoint coordinates coordinates of bar AB is M 2 1 If the of A are 7 2 what are the of B

Write the fraction 56 32 in simplest form

Add and simplify 2x 2x 3 15x 15 2x x 3

Write and solve a system of linear equations Erin bought 4 jars of jelly and 6 jars of peanut butter for 19 32 Adam bought 3 jars of jelly and 5 jars of peanut butter for 15 67 Find the cost of a jar of jelly and peanut butter

he coordinates of the point O are 8 9 and the coordinates of point P are 2 9 What is the distance in units between the point O and point P

2 y 3 x 1 3 3 y 2 x 3 x 5 Standard Form Factored Form Vertex Form Standard Form

Solving a linear system with n equations and n variables requires the computer to perform a total of T n calculations including additions subtractions multiplications and divisions Compute T for n 3 8 14 24 100 230 430 1100 5200 11 000 100 000 and write the results in a table Complete the table below n GLAS 2 3 3 2 7 32n arithmetic Type an integer or a decimal

K Graph the function Use the graph of f x 3 to obtain the graph of g x 3 X O A 193 O B C O C O D

K Graph the function by making a table of coordinates f x OA 4 3 X OB Q OC Ay 5 OD Ay o o

Find the domain of the logarithmic function f x In 6 x O A 6 00 OB 0 0 OC 6 or 6 00 OD 0 6

Evaluate the expression without using a calculator log 9 9 OA 1 OB O C 13 2 19 OD 9

Write the equation in its equivalent logarithmic form 6 x O A log 63 x O B log 3x 6 OC log 6x 3 OD log x6 3

K Solve the exponential equation Express the solution set in terms of natural logarithms ex 7 5 OA 5 OB 5 7 OC In 12 O D In 5 7

2 Perhaps the most important type of polynomial multiplication is that of two binomials Make sure you are fluent with this skill Write each of the following products as an equivalent polynomial written in standard form The first problem is done as an example using repeated distribution b x 10 x 4 c x 3 x 12 a x 5 x 3 x 5 x x 5 3 x x 5 x x 3 5 3 x 5x 3x 15 x 2x 15 d 2x 3 5x 8 e 4x 1 x 2 f 6x 5 4x 3

The profit that the vendor makes per day by selling x pretzels is given by the function P x 4x 2 400x400 Find the number of pretzels that must be sold to maximize profit OA 300 pretzels OB 359 600 pretzels O C 1 200 pretzels OD 600 pretzels

mai multiplication is that of two binomials Make sure you are fluent with this skill Write each of the following products as an equivalent polynomial written in standard form The first problem is done as an example using repeated distribution b x 10 x 4 c x 3 x 12 a x 5 x 3 x 5 x x 5 3 x x 5 x x 3 5 3 x 5x 3x 15 x 2x 15

April shoots an arrow upward into the air at a speed of 32 feet per second from a platform that is 26 feet high The height of the arrow is given by the function h t 161 32t 26 where t is the time is seconds What is the maximum height of the arrow OA 16 ft OB 25 ft OC 42 ft OD 26 ft

Determine the maximum possible number of turning points for the graph of the function f x 5x 8x 4x 3 OA 2 OB 0 O C 5 OD 3

If x 7 is one of the factors of 2x 2 11x k what is the other factor

12 A 3 9 D 22 B 8 5 9 3 X 10 z 4x 3y A Find the value of the objective function at each cc of the graphed region B Find the maximum value of the objective function C Find the minimum value of the objective function A What is the value of the objective function at point A

olve the equation analytically 5000 a 3t 2500 b 1 2e In x 1 ln x 3

Complete the Lesson Reflection above Determine a the cost of the stock and b the total paid 1 Trudy Fahringer buys 500 shares of Waverson Inc She pays 32 90 per share The commission is 65 00

b Let z 11 3i and w 1 8i be elements in Z i Find ged z w

A waitress earned 513 in tips during her shift She had a total of 179 bills in her pocket consisting of ones fives tens and twenties She had seven times the number of fives as tens The number of ones was one more than twice the number of fives How many of each bill did she have of ones of fives of tens of twenties Number Number Number Number

Integrate the following function g t 12e 12t 27t 27 23 1 27 23 1 9 23t 5 O a e 2t 4 5 lnt 15t c 9 3 O b 12e 2t O c 144e12t O d e 12t t 15 5 ln t 15t c 5 lnt 15t c 5 lnt 15t c

The Indirect method for preparing the operating activities section of the statement of cash flows begins with the amount of sales revenue reported on the income statement True or False True False

4 02 07 What effect does depreciation expense have on net Income and cash flows Option A B C D Net Income Cash FlowS Decrease Decrease Decrease Increase Multiple Choice O Option A O Option B Option C Option D Increase None Decrease Increase

Verify the trigonmetric identity cos x sin x tan x sec x

1 55 Which of the following is the correct sequence of the three sections that are presented on the statement of cash flows Multiple Choice Operating Investing Financing Investing Operating Financing Operating Financing Investing Financing Investing Operating