Quadratic equations Questions and Answers

Determine the domain of the following graph 249 900 12 Y 11 10 8 7654325 1 12 11 10 9 8 7 6 5 4 3 2 1 1 2 3 4 5 6 7 8 9 10 11 12 c c i i n cho n 3 4 5 6 7 9 10 11

Graph the piecewise defined function f x 3 x if x 1 4 2x if x 1 Choose the correct graph below OA Ay OB BE 57 O C 4 o O 57 O D

Use the graph of y f x to find each function value a f 3 b f 0 c f 2 d f 6 a f 3 b f 0 c f 2 d f 6 www 10 86 10 B 2 co POP

The displayed chart and accompanying histogram show the numbers of home runs hit by all baseball players in a league in the 2021 season As you can see many players hit fewer than 5 home runs while the best players hit more than 30 Complete parts a through e Click the icon to view a histogram of the home runs a Which would be the better summary of the number of home runs hit the mean or the median Why The is a better summary because the data The data are skewed to the left are unimodal and symmetric are skewed to the right Count 643 Mean 11 2 Median StdDev IQR Q1 Q3 9 10 6 13 4 17

function f x x 7 2 5 by using translations vertical or horizontal shifts Compare the graph to the graph of f x x The graph of f x x 7 2 5 is exactly the same as the graph of f x x except the graph of f x x 7 2 5 is shifted 7 units to the Choose the correct graph below OA OB O C G OD and 5 units 5

Matter is in a liquid state when its temperature is between its melting point and its boiling point Suppose that some substance has a melting point of 46 72 C and a boiling point of 328 93 C What the range of temperatures in degrees Fahrenheit for which this substance is not in a liquid state Hint C F 32 Let x represent the temperature in degrees Fahrenheit The range of temperatures for which this substance is not in a liquid state is Type an inequality or a compound inequality Simplify your answer Use integers or decimals for any numbers in the expression Round to three decimal places as needed

Please help with this Q before 18 9 thanks Consider the mapping function w 3z determine and sketch the images of the followings a a unit square with one vertex at the origin b a square grid formed by repeating the above unit square along x and y A 5 x 5 or 6 x 6 grid is fine viole

1 the 3 y 3x 5 1 2 y x 3 y 2x 4 y 3x 7 5 y 2 x 3 6 y x 2 7 7 y 4 x 6 3 1 8 y 3 9 y 10 y 1 x 4 3 x 5 11 y x 12 y x 3 x 4 13 y 5 14 y 2x 4 Domain Range of

13x 12 5x 15x 3 6x 3x 7 8x 5x 70 2x 100 17x 45 7x 48 9 x 16 x 7 9 x 1 11 5x 8 11 8x 44 8x 59 7x

Use the piecewise defined function to find the following values for f x f x f 0 4 3x 3x 5x 2 if x 2 if 2 x 7 if x 7

Convert the following angle to decimal degrees x 326 16 31 0 Round to three decim

Write the domain and range of each function 2 a y x 5 Domain Range

he linear function with the following properties r Correct f 4 11 f 9 9

ver linear function with the following properties 2 15 Correct f 0 1 Slope off 6

Use the given graph to find each of the following a the zero of the function b the x intercept What is the zero of the function D

he perimeter of a rectangular held is 380 ya he smaller of the two sides is yd length is ya longer than the width Find the dime

c Now that we have two equations that are about the same at what point do these two lines intersect one another Give the answer as an ordered pair x y

5 2 20 pts Using the rule of similar triangles solve for the missing sides and angles of each 16 18 21 y N 8 18 21

Use a graphing calculator to find all solutions in 0 2x x 2 sinx x 3 cos x 0 The solution set is Round to four decimal places as needed Use a comma to separate answers as nee

13 Sketch on separate graph of the derivative of the function whose graph is shown Note the vertical lines are the asymptotes 15 10 20 10 15

1 3 S I sina I 2x 1 x x 1 dr da 5 cos a sina da 2 1 2x 100 4 sin r cosa 6 3x e dz da

hich of the following is equal to ultiple choice 6 2 A B C D 1 3 1 1 3 1 6 2 4 6 2 4 E 1 F G H 1 6 2 2 6 2 2 1 3 1 J 3 1

For what value s of a do the curve y 4x2 6x 4 and the line y 2x 1 intersect f your answer contains more than one value please use a comma to separate the values of the two curves do not intersect enter DNI

w w43 3w 4 W 2 For what values of wis A W B w 2 C w 2 D EV 2 E 2 w 2 and w 2 0

Greg takes a 300 mile round trip flight to visit his parents To qualify for Gold status at Awesome Airlines one must fly at least 6600 and less than 13800 miles each year How many times would Greg need to visit his parents each year to attain Gold status Express your answer in interval notation Answer 3

are given that kx kx 6 0 Then an expression for as a function of k is Itiple choic A CO CDE A B C D E 24k 2k k k 24k 2 k 24 2 k k 24 2k k k 6k 2k 1 1

ich of the following describes all the values of a satisfying 4 5 tiple choic view My An ABCDEFGH Submit A x 1 B x 1 C D E 1 x 1 1 or x 1 3 F G H I J x 3 3 x 3 3 or x 3 all x ER no real solutions for a

Given the expression solve for r in terms of p and q only Multiple choic ABC D B T EF G H I A T review My Answers C T D T 2q p q 2q pq 1 2g r pq 2pq pr 9 2 2 E 7 Submit Answers 2q r qr F r pqr 2q 2q p q 1 2pq 9 P G T H r I T is canceled out so it is impossible to solve for r

ve 3x x 22x 8 0 given that is is a root

3 Suppose a triangle has angle A 58 side a 11 4 and side b 12 8 Solve for the remaining side and angles for the triangle If more than one triangle exists solve for both If no triangle exists say so Sketch each solution triangle if they exist

ph of a function f is given Use the graph to answer the question For what numbers x is f x 0 201 04 O 12 te 20 I 12 14 12 14 20 20 12 14 20

The graph of a function f is given Use the graph to answer the question For what numbers x is f x 0 51 O 3 00 0 3

Find the value for the function Find f x h when f x 2x 4x 5 2x 4xh 2h 4x 4h 5 2x 2xh 2h 4x 4h 5 O2x2 2h2 8x 8h 5 2x 2h 4x 4h 5

What number should be added to complete the square of the expression x2 18x 9 162 81 41

graph of a function fis illustrated Use the graph of f as the first step toward graphing the function F x where F x f x 2 1 6 ET 1 1 3 2 X 6 3 4

completely the given expression 3x 5 x 4 3x 5 3 O5 3x 5 3x 1 O5 3x 5 3x 1 O 15x 5 3x 5 3x 5 15x 5 The polynomial is prime

etermine whether the graph is that of a function If it is use the graph to find its domain and range the intercepts if any and any symmetry with respect to the x axis the y axis or the origin

Use the graph to find the intervals on which it is increasing decreasing or constant 5 4 3 2 1 Decreasing on 00 00 Increasing on 0 00 Decreasing on 0 increasing on 0 10 ml

decreasing or constant on the given interval ph of a function is given Determine whether the function is increasing 0 1 24 L EV cam

ve the inequality Express your answer using interval notation 21x 3 3 6x 7 0 6 6 00 0 0 6 6 00 2 76 11 12 Webcam

hswer the question about the given function Given the function f x x 6 is the point 2 2 on the graph of f X 3 No Yes

Sketch the angle in standard position and draw an arrow representing the correct amount of rotation Find the measure of two other angles one positive and one negative that are coterminal with the given angle and closer to the given angle than any other coterminal angle Give the quadrant of the angle if applicable A 67 Choose the correct graph below where the curve on each graph traces the angle beginning at the positive x axis and ending at the ray O A OB 67 0 Q The least positive coterminal angle is Simplify your answer Type an integer or a fraction 0 67 Q 0 Save Q

Convert the following angle to decimal degree notation 26 36 Points 0 of 1 26 36 7 Round to two decimal places as needed

Convert the following angle to decimal degree notation 71 60 Question 1 1 1 53 Points 0 of 1 71 60 Round to two decimal places as needed

Algebra Prep 2022 Kuta Software LLC All rights reserved EXTRA CREDIT Sum 1 Solve each question Round your answer to two digits 11 Working alone Nicole can pick forty bushels of apples in 9 7 hours One day her friend Wilbur helped her and it only took 5 26 hours Find how long it would take Wilbur to do it alone A 11 49 hours B 9 04 hours C 12 52 hours D 12 8 hours

Select one answer A person must enter a 4 digit code to gain access to his cell phone He will enter codes until he 10 points is successful however he cannot try more than 3 times or the phone will lock him out Let S denote a successful attempt and F denote a failed attempt What is the sample space for this random experiment A B C D E SSS SSF SFS FSS SFF FSF FFS FFF S FS FFS S FS FFS FFF S SS SSS S SF SSF SSS

3 The cost in dollars of producing x units of a certain commodity is C x 100 50x 0 02x a Find the average rate of change of C with respect to x when the production level is changed from x 100 to 105 b Find the instantaneous rate of change of C with respect to x when x 100 and interpret the value of it

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What type of sampling method was used DRAG DROP THE ANSWER A researcher divided a group of students according to gender major field and low average and high grade point average Then she randomly selectes six students from each group to answer questions in a survey Out of 10 hospitals in a municipality a researcher selects one and collects records for a 24 hour period on the types of emergencies that were treated there The subscribers to a magazine are numbered Then a sample of these people is selected using random numbers Every 10th bottle of Energized Soda is selected and the amount of liquid in the bottle is measured Random Stratified Systematic Cluster

18 a b Part A A national achievement test is administered annually to 3rd graders The test has a mean score of 100 and a standard deviation of 15 If Jane s z score is 1 20 what was her score on the test A 82 B 112 100 D 88 E 118 Part B The grades on a history midterm at Gardner High School are normally distributed with 73 and a 4 0 The 2 score for Ben is 0 50 Find Ben s score and type your result in the empty box provided below Answer