Quadratic equations Questions and Answers

Rewrite the following equations using exponents instead of logs Estimate a solution fo calculator Round the value of x to the nearest integer a log x 1 153 x b log x 4 88 x i i

1 point Find the Laplace transform F L f of the function F s f 1 f 4 0 t 7 0 7 t 0

Activity A scientist needs to make 5 4 liters of saline solution salt water in which the salt level must be at 28 concentration meaning 28 of the water is salt Unfortunately the scientist only has two types of saline solution in his possession He has saline solution with a 12 concentration level and saline solution with a 30 concentration level How much of each type of saline solution should the scientist mix together to achieve 5 4 liters of saline solution at a concentration level of 28 Let a represent the amount 12 saline solution and let y represent the amount of 30 saline solution 10 Determine which two equations can be used to represent the system Before moving to the next question make sure that you write down the the two equations you ve chosen x y 28 12x 30y 1 512 12x 30y 5 4 12x 30y 28 x y 1 512 x y 5 4 1 point

System 3 Stimulus 4 1 Understanding Systems Substitution Method Use the system of equations below to answer the following questions 2x 3y 15 x 3y 3 2 1 point 1st equation isolate x 1st equation isolate y 2nd equation isolate x 2nd equation isolate y cannot be determined DO Using the method of substitution which equation and which variable would be easiest to isolate

5 1 point To solve by elimination we can choose to eliminate either the x variables or the y variables Use the system of equations below to answer the following 2 questions 4x 7y 2 3x 3y 6 Question 1 To eliminate the x variables with the lowest common value multiply the top and the bottom equation by the numerical value equation by the numerical value Question 2 To eliminate the y variables with the lowest common value multiply the top equation by the numerical value and the bottom equation by the numerical value Question 1 Values separate each value with a comma type your answer Question 2 Values separate each value with a comma type your answer

1 point The sum of two numbers is 43 One number is 5 less than 3 times the other number What are the two numbers Need Help In the 4 2 Instructional Videos watch the videos showing examples of how to Solve Direct Translation Applications The smaller number is type your answer The larger number is

6 5 4 3 515 4 3 2 6 5 4 3 2 1 24 NWS S 5 4 3 2 1 2 1 K 1 2 3 3 4 4 5 6 5 6 X 4 3 2 6 5 4 3 2 1 5 3 2 1 112 3 TO 4 56 6 5 4 3 2 1 12 3 4 56

Enter an inequality that represents the graph in the box 8 6 4 2 8 6 4 2 2 4 6 8 2 4 H 6 8

Solve for x 9 4x 3 27 Enter your answer as one inequality in the box

Which graph represents the inequality 24x8y 16 8 6 4 2 2 8 6 4 2 8 6 4 8 6 4 2 2 XAT y 1 2 4 6 2 4 6 X 8 8 6 4 8 6 4 2 8 6 4 2 4 68 2 1 8 6 4 2 1 2 2 4 6 8 X

ATA YAYINCI 1 4 Selim bir torbadaki bilyeleri alt ar alt ar veya seki zer sekizer sayd nda her defas nda 3 bilye art yor Torbadaki bilyelerin say s 160 tan fazla oldu u na g re torbada en az ka bilye vard r A 165 B 171 C 192 D 195 8 76 25 ab

a Find the slope of the line and b interpret the slope a The slope of the line is b Interpret the slope 4 3 Simplify your answer C 3 3 KO Q K

Graph the line that contains the point P 2 1 and has slope m 0 Find the slope intercept form of the equation of the line point yrape at it Click to enlarge graph Write the slope intercept form of the equation of the line that contains the point P 2 1 and has slope m 0 Type your answer in slope intercept form 10 8 6 4 D P of 8 6 4 2 46 8

1 A No solution C 4 9 or 2 26 D a 42 ora 23 7 11 2 9m 3 8 4 8 7 35 A 32 2 3 B RS 25 or x 2 0 5 C All real numbers 1 D 25 SNS 0 5 12 12 3 2 4 3 6 2 23 04 A 41 5 1 B All real numbers T C 08 or 25 6 D No solution 9 4 S um m HB 8 1221 TE T T

8 5 4r 2 4 106 A srs1 B r21 orrs 9 C Sorr 26 D 5 r 6 9 10 4 10 8n 78 A All real numbers B 6 n 5 C ns 6 orn20 D 6 n 0 10 210

3 5 3 0 6 b 0 2 2 9 3 98 A 1 84 1 2 C 2 1 6 Solve each inequality 5 8 7 x 3 27 A x 4 or x 7 B x 4 or x 10 C 4 x 7 D 6 x 5 B 2 D 0 6 2 6 4

a Find the slope of the line and b interpret the slope UC 3 3 10 1 x 4 Q o 37

termine the slope of the line containing the given ints Graph the line 2 4 4 2 hat is the slope of the line containing the points 2 4 d 4 2 Select the correct choice below and fill in any swer boxes within your choice A The slope is Type an integer or a simplified fraction B The slope is undefined

Find the quotient by performing long division 3x 10x 12 x 2 3x 10x 12 x 2 11 rem Simplify your answer If there is a remainder type your answer in the form quotient

Use the quotient rule to simplify 7 8 60x w 36x5w5 7 8 60x w

Graph the line that contains the point P 2 2 and has slope m 0 Find the slope intercept form of the equation of the line Use the graphing tool to graph the line Use the given point to graph the line Click to enlarge graph Write the slope intercept form of the equation of the line that contains the point P 2 2 and has slope m 0 7 Type your answer in slope intercept form 6 104 8 16 14 12 2 14 2 6 18 Pl 40

Simplify each expression a 18b b 18b c 18b a 18b 0 b 18b c 18b 11 Simplify your answer Type an integer or a fracti Simplify your answer Type an integer or a fractio Simplify your answer Type an integer or a fra

Graphing Many years ago a cowboy named Juan Viborin owned a ranch in Northern Mexico This is a very difficult area to live in because the semi desert biome makes up a large portion of this area It is a very dry hot and harsh ecosystem consisting mostly of cacti and desert grasses The types of animals in the food chain here are the kangaroo mouse which eats desert grasses the sidewinder snake which eats the kangaroo mouse and the road runner bird which eats the sidewinder snake This was a very balanced food chain all the organisms had enough room to live and enough to eat Draw one graph of the following information of the animal population over a time period of 10 years You will need to have multiple y axies and be sure to do a line graph and not a bar graph Remember to include the title the labels for the axies and the legend This must be done without a computer on the attached graph paper Year 1990 1991 1992 1993 1994 1995 1996 1997 1998 1999 of Kangaroo Mice 8000 8500 9000 9500 10 000 10 500 11 000 11 500 12 000 12 500 of Sidewinder Snake 11 1500 1400 1300 1200 1100 1000 900 800 700 600 of Road Runner Bird 1024 512 256 128 64 32 16 3 Are the graphs of the population changes linear or exponential 4 2 Questions 1 Why is it necessary to have different y axies for the different populations 2 Discuss why you think the kangaroo mouse population might be increasing md ca P Ha

Simplify the following expression m 5 75 Type your answer using exponential nota

Multiply 4a b 3a b 8ab 4ab 4a b 3a b 8ab 4ab Simplif

Simplify the expression b 3 b 3b 9 h 3 h 3h 9

Multiply and simplify 6x6y7 8x y 6x6y7 8x y

Simplify the expression 3m n 8 3m n 8

Multiply and simplify y8 y6

If u v 0 and v w 0 does that imply that u w 0 Prove or disprove Hint if a claim is true it needs to be proved in general that is for all possible cases But if it is false it can be disproved merely by putting forward a single counterexample

5 m 6 7 8 Registered 9 Not registered Television 38 10 37 11 A sample of 252 adults is selected The adults are classified according to voter registration status registered or not registered They are also classified according to preferred source of current events information television newspapers radio or internet sites The results are given in the contingency table below Newspapers 21 42 12 Radio 21 13 27 Internet sites 24 14 42 15 What is the relative frequency of adults in the sample who are registered to vote and prefer to obtain their information through newspapers Round your answer to two decimal places 16 Charlie Espa ol 17

Amy bought 3 lbs 7 oz of turkey cold cuts and 3 lbs 15 oz of ham cold cuts How much did she buy total You should convert any ounces over 15 into pounds pounds ounces

2 An injection contains 2 mg of medication in each milliliter mL If a physic prescribes a dose of 0 5 mg to be administered to a hospital patient three tin daily how many milliliters of injection will be required over a 5 day period

Solve the following initial value problem On what interval is the solution valid xy y 3 0 y 1 4

Write the following in terms of sin r and cos 2 and then simplify if possible Leave your answer in terms of sines and cosines only cot r tan r

or the following find the discriminant b 4ac and then determine whether one real number solution two different real number solutions or two different imaginary numb olutions exist x 3x 7 0 What is the discriminant b 4ac 19 Simplify your answer What is the nature of the solution s OA There are two different real number solutions OB There are two different imaginary number solutions OC There is one real number solution

A car trip took 9 hours at an average speed of 52 mph Mentally compute the total number of miles traveled

Graph each quadratic equation and identify its sc 2 y x 2x 3 X y

Given that g x a g 8 x 6 find each of the following b g 7 c g 6 g x b in A g x h x h 6 Simplify your answer B g x h does not exist d g 18 75 OA 9 6 Simplify your answer B 9 6 does not exist Oc g 6 is not a real number d Select the correct choice below and if necessary fill in the answer box to complete your choice e g x h g 18 75 2 020 A Type an integer or decimal rounded to three decimal places as needed OB 9 18 75 does not exist Oc g 18 75 is not a real number e Select the correct choice below and if necessary fill in the answer box to complete your choice

5 y x 10x 21

1 The points at which a quadratic equation intersects the x axis are referred to as

HOW DO YOU SEE IT Describe the graph of g as a transformation of the graph of f x x 4 6 Ay 4 2 The graph of g is a translation 1 4 unit s down unit s left and of the graph of f

9 The dimensions of a rectangular prism are represented by binomials as shown a Write a simplified expression that represents the surface area of this prism Suface ARQ 5 11 1 1 FW 2 ZW n 4 W 1 2n 3 L 7x55 42 9x5 2 7 5 70 40 56 b Write a simplified expression that represents the volume of this prism SA 2Q 3 r TA H 2 20 1 4 2 2 2 4 12 172 24 34 9 If n represents 6 5 cm what are the surface area and volume of the prism n 3 2 477 221 2

g 18 75 Type an integer or decimal rounded to three decimal places as needed B g 18 75 does not exist OC g 18 75 is not a real number O A Textbook Clear all 3 Pearson Education Inc All rights reserved Terms of Use Privacy Policy

1 What is the following number in standard form three hundred thousand six hundred eleven

The graph of the function h x is shown Find the function values h 2 h 4 and h 5 h 2 10 R Save

Use the graph of the function f shown to the right to find f 0 f 1 and f 2 f 0 10 8 64 10 19 P 40 10

Find the slope of the line containing the given points OA The slope of the line m OB The slope is not defined Ay Select the correct choice below and if necessary fill in the answer box to complete your choice Type an integer or a simplified fraction 08 X 10

Find the equation of the circle Express the equation in standard form The equation of circle is 30 20 10 30 20 10 Ay 104 20 30 20 X

4a 6b 5 Is the ordered pair to complete your choice SID a solution of the equation 4a 6b 5 Select the correct choice below and if necessary fill in the answer box OA Yes because after substituting for a and b it gives the result 5 5 5 OB No because after substituting for a and b it gives the result Type an integer or a simplified fraction