# Questions on Algebra: Average answered by real tutors!

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 Algebra: Average Solvers Lessons Answers archive Quiz In Depth

 Question 189147: I have to find the vertex but I don't really understand the steps to it. f(x)=x^2+10x+14 do I have to do x^2 +10x+14-14? Click here to see answer by vleith(2825)

 Question 189180: find all of the zeros of the polynomial function and state the multiplicity of each. f(x) = (x^2-9)^2 I don't really understand this. Click here to see answer by josmiceli(9649)

 Question 189188: i have to find which interval must contain a zero of f with the intermediate value theorem. if i have x^4-x^2-15 how do i get a= and b= and how do i solve that? it s badly described in the book... Click here to see answer by stanbon(57219)

 Question 189175: I wrote prior that I can solve this but somehow it gets too much and confused and I am sure I made a mistake somewhere. Can you help me solving this? 9/(x+1) - 2/(x-2) = 5/(x+1) and help me to check all proposed solutions? Click here to see answer by ankor@dixie-net.com(15624)

 Question 189705: Jane determines that her lawn contains an average of 3.8 grubs per square foot (ft2). If her rectangular lawn measures 60.4 ft by 80.2 ft, estimate the total number of grubs in her lawn. Where do I or how do I start? Do I multiply 60.4 by 3.8 and then multiply 80.2 by 3.8 to get the answer? Click here to see answer by josmiceli(9649)

 Question 189709: 1). Sandra drove for 148.2 miles and used 9.9 gallons of gas. Estimate the number of miles Sandra’s car gets per gallon. 2). Bob wants to have concrete driveway in front of his house. The driveway will measure 58 2/3 feet long and 18 1/2 feet wide; and will be 3/4 foot thick. How many cubic yards of cement will be needed for the driveway? Round your answer to the nearest cubic yard. [1 cubic yd = 27 cubic feet] Can someone help me solve this question, I am totally confused. These are mixed number questions. I haven't done math is so many years, need a little help please. Click here to see answer by nerdybill(6948)

 Question 189749: Use synthetic division to divide the polynomial 4x3 + 10x2 – 11 by x + 3, and state the quotient polynomial and the remainder I should divide the polynomial by synthetic division but there is no term to divide it through... I don't understand this. Click here to see answer by stanbon(57219)

 Question 189887: Car rental agency A will rent a compact car for \$40 per day and an additional charge of \$0.20 per mile. Car rental agency B will charge only \$0.16 per mile but charges \$51 per day. If Adam wanted to rent a car for four days, how many miles would Adam have to drive to make car rental agency B a better bargain? Where do I beging with this question? Click here to see answer by josmiceli(9649)

 Question 189949: Hello, first the task, then what I tried! Task: Consider the polynomial f(x) = 5x3 – 9x2 – 17x – 3. (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros. I have tried this but still can't figure it out. I tried x(5x^2-9x-17)-3 then: x(5x^2-9x-20) now I thought to convert it as follows: X(x+ )(x- ) but I cannot find anything that is 20 but in the middle results in 9. If I will find those two then I know the two zeros right? Click here to see answer by Alan3354(30959)

 Question 189886: Mike invested \$7000 for one year. He invested part of it at 8% and the rest at 12%. At the end of the year he earned \$764 in interest. How much did he invest at each rate? Can someone help me solve this problem I am confused. Click here to see answer by jojo14344(1512)

 Question 189952: 5x^3-9x^2-17x-3 i have to solve this as follows: (a) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial. For A, I know that i have to do it with the rational zero theorem, but here is a sentence of a book that i don't understand. if a rational number p/q is a zero of f(x), then p must be a factor of -4 and q must be a factor of 3. the task belonging to it is: 3x^4-11x^3+10x-4 Then it says possibility for p = +-1, +-2, +-4 possibility for q is =-1, +-3 i dont understand how to get +-4 and for q +-3. as the sentence above states. I dont get how to find the possibilities... (b) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros. For B, This is what I thought! f(x) = 5x3 – 9x2 – 17x – 3. x(5x^2-9x-17)-3 but then with x(5x^2-9x-20) how would you find something that would result in 20 and 9 X9X- )(X+ ) I am stuck here or is it the wrong approach? Anna Click here to see answer by stanbon(57219)

 Question 190247: Sam found a number of nickels, dimes, and quarters in his room. He found 6 more dimes than nickels but three times as many quarters as dimes. The total value of the coins was \$11.40. how many coins of each type did Sam find? Okay, I am confused, can someone please help me? Where do I start? Click here to see answer by josmiceli(9649)

 Question 190260: Answer “Yes” or “No” for each question - If A  B and B  C, can you conclude that A  C? Can you conclude that A  C? - If A  B and B  C, can you conclude that A  C? Can you conclude that A  C? - If A  B and B  C, can you conclude that A  C? Can you conclude that A  C? This is one of my question (similar) to what is going to be on my test, can someone help me with this please. Venn Diagrams and w/ three sets Click here to see answer by user_dude2008(1861)

 Question 190647: I hope you can help. I need the answer for some graphics work I'm doing. If a pixel will move 1461 pixels in 429 seconds, how far will it move in 566 seconds? I'd really like to see the formula for this, so I can do it on my own in the future. thanks!!!!!! -Ron Click here to see answer by Alan3354(30959)

 Question 170530: one night ms factor baked ccokies.she used a 20-ounce package of cookie dough to make 3 dozen cookies. what was the average weight of each cookie? Click here to see answer by carter6949(26)

 Question 191068: 3.On six exams, Alex has scored 82, 86, 75, 91, 92, and 87 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points, what is the minimum number of points Alex must earn on the final exam to achieve this goal? Click here to see answer by stanbon(57219)

 Question 191648: Without writing them down, what are the number of subsets of the set A = {a, b, c, d, e}? Of set B = {a, b, c, d, e, f, g, h, i}? I am sinking, can someone please help me with this question? Click here to see answer by stanbon(57219)

 Question 191647: Write down all possible subsets of {x, y, z}, This is a mixed problem that I am totally confused on, can someone please help me? Click here to see answer by stanbon(57219)

 Question 191646: Express the following in set-builder notation: M = {3, 4, 5, 6, 7} This is a mixed problem question. I do not understand it, can someone please help. Click here to see answer by stanbon(57219)

 Question 191999: I got these two questions wrong on my test, can someone show me how to do these two? I appreciate it! (1) For each of the following conditionals, identify the antecedent and the consequent. Form the converse, inverse, and contrapositive. (a) If I go to work, then I will get paid. (b) Your yard will not look good if you don’t mow the grass. (5) Rewrite ~ (p  ~q) using DeMorgan's laws. Click here to see answer by jim_thompson5910(28476)

 Question 192120: If f(x) = (5x-3)/(x-2) Find the inverse function of f. would that be just the opposite? = (x-2)/(5x-3)? State the domain of f. State the domain of the inverse function. Click here to see answer by jim_thompson5910(28476)
 Question 192120: If f(x) = (5x-3)/(x-2) Find the inverse function of f. would that be just the opposite? = (x-2)/(5x-3)? State the domain of f. State the domain of the inverse function. Click here to see answer by RAY100(1637)

 Question 192091: Jim Thompson: Rewrite ~ (p V ~q) using DeMorgan's laws. Sorry about the question mark. Thank you Click here to see answer by jim_thompson5910(28476)

 Question 192111: I have a text question and usually I solve them by using the rule of three, but it does not work here, can you help me? The score N on a test varies directly as the number of correct responses x. Fred answers 33 questions correctly and earns a score of 55. What would Fred's score have been if he had answered 48 questions correctly? I know that x = 33 I always get 87.27272727... but that cannot be correct. Click here to see answer by checkley75(3666)

 Question 192222: i was not sure this is the problem, Edna and Nancy leave the same house at the same time and walk for four hours. Edna walks due east at the average rate of 4 kilometers per hour and Nancy walks due north at the average rate of 3 kilometers per hour. What is the straight line distance between them, in kilometers, at the end of the 4 hours? *Can u please include an explantion as to how you did each step and respond back as soon as possible thank u very much Click here to see answer by solver91311(16868)

 Question 192337: I just wanted to see if this is correct... Suppose y varies inversely as x and y = 0.3 when x = 10 (a) Find the variation constant and an equation of variation. Y = k/x 0.3 = k/10 0.3*10 = k/10*10 k = 3 (b) Use your results from (a) to help find y when . Y = 3/(1/2) Y = 6 Click here to see answer by Alan3354(30959)

 Question 192315: If I have x(x+2)(x-5) would i really need to solve it to find the interval notation? isn't it (- infinity, -2) U (0,5)... ah I just see that 0,5 cannot be, if so it should be 5, infinity. hm... so do i solve x^2+2x (x-5) which is x^3-5x^2+2x^2-10x but how would I go from here? Click here to see answer by edjones(7569)

 Question 193042: i have to find the solution... 2x^2+6x+5=0 i have tried it with the completed square which means 2x^2+6x+9 = -5+9 at the end i was with (2x+3)(x+3)=4 no complete square... then i tried to divide it by 2 so i had x^2 +3x+4.5=2 but with 4.5 i am not getting a complete square either... Now i don't know any further... PLEASE help me! Anna Click here to see answer by Alan3354(30959)

 Question 193136: I got x=log9 (1/81) I have tried it this way: log9 1 - log9 3^4 = log9 1 - 4log9 3 = but the task does not only state log9 (1/81) it says x=... so i am not sure if I am going the correct way! could you help me on this one? Click here to see answer by nerdybill(6948)

 Question 193144: Finding an inverse formula of f(x) = 9-4x First I replaced f(x) with y: y=9-4x then i switched y with x: x=9-4y then i solved for y x-9 = -4y (x-9)/-4 = y This is a final review exercise and the possible solutions are as follows, but none are like mine: f-1(x) = 9+4x = 1/(9-4x) = (x-4)/1 = (9-x)/4 the fourth one would be the closest, but is not the same as I got... What did I do wrong? Click here to see answer by nerdybill(6948)
 Question 193144: Finding an inverse formula of f(x) = 9-4x First I replaced f(x) with y: y=9-4x then i switched y with x: x=9-4y then i solved for y x-9 = -4y (x-9)/-4 = y This is a final review exercise and the possible solutions are as follows, but none are like mine: f-1(x) = 9+4x = 1/(9-4x) = (x-4)/1 = (9-x)/4 the fourth one would be the closest, but is not the same as I got... What did I do wrong? Click here to see answer by Earlsdon(6287)
 Question 193144: Finding an inverse formula of f(x) = 9-4x First I replaced f(x) with y: y=9-4x then i switched y with x: x=9-4y then i solved for y x-9 = -4y (x-9)/-4 = y This is a final review exercise and the possible solutions are as follows, but none are like mine: f-1(x) = 9+4x = 1/(9-4x) = (x-4)/1 = (9-x)/4 the fourth one would be the closest, but is not the same as I got... What did I do wrong? Click here to see answer by stanbon(57219)

 Question 193155: is 3 log a+ log 1 - log b = log(3a+1-b)? Click here to see answer by stanbon(57219)

 Question 193302: Lee is a salesperson who must decide between two monthly income options: Option A: Salary of \$1680 per month, plus 8% of monthly sales or Option B: Salary of \$2000 per month, plus 6% of monthly sales For what amount of monthly sales is Option A the better choice for Lee than Option B? Would it be 1680+8/100>2000+6/100? Click here to see answer by jojo14344(1512)

 Question 193301: I would just like to know if i calculated the following correctly! Consider the polynomial f(x) = 3x3 + 13x2 – 11x – 5. Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found the zeros. Highest degree is 3. Thus, I tried +-1, +-2, +-3 +-1,+-3 All possible zeros are +1 and -1/3 I simply tried it: 1| 3 13 -11 -5 3 16 5 3 16 5 0 -1/3| 3 13 -11 -5 -1 -4 5 3 12 -15 0 all others did not have the remainder 0 but I did it the same way! Click here to see answer by stanbon(57219)

 Question 193300: If I have the following: A farmer has 60 feet of fencing with which to enclose a rectangular pen adjacent to a long existing wall. He will use the wall for one side and the available fencing for the remaining three sides. If the sides perpendicular to the wall have length x feet, the area A of the enclosure is given by A(x) = –2x2 + 60x. I found the vertex which is : The vertex is (15, 450) A=-2 B=60 C=0 X=-b/2a X= -60/[2*(-2)] = -60/-4 = 15 A(x) = -2(15)^2+60(15) = -2(225)+900 = -450+900 = 450 Now, the following questions are: Use the work in the previous parts to help determine the dimensions of the enclosure which yield the maximum area, and state the maximum area. (Fill in the blanks below. Include the units of measurement.) The maximum area is: when the sides perpendicular to the wall have length x = and the side parallel to the wall has length x= I know that A = 2L+2W but I am not sure how to determine those three... I thought the vertex would help me somehow but I got really confused... Could you help me with this? Click here to see answer by stanbon(57219)

 Question 193295: Hello Would I consider G(x)=e6^(x-1)+4 as shifting 1 unit to the right and 4 units up? Click here to see answer by stanbon(57219)

 Question 193467: x-4/(x+1) - 10/(x^2-1) = 0 (x-4)(x-1)-10/(x^2-1)=0 x^2-5x-6/(x^2-1)=0 how do i go from here to find and check all proposed solutions. Click here to see answer by radikrr(7)

 Question 193466: if f(x) = 4/(x+6)` (a) State the vertical asymptote(s). Should be -6 right? (b) State the horizontal asymptote. 0? (c) Find the inverse function of f. f(x)=4/(x+6) y=4/(x+6) x= 4/(y+6) x=4(y+6) x=4y+24 are a, b and c correct? Click here to see answer by stanbon(57219)

 Question 193694: When Kelly is not on the moving sidewalk, she can walk the length of the sidewalk in 3 minutes. If she stands on the sidewalk as it moves, she can travel the length in 2 minutes. If Kelly walks on the sidewalk as it moves, how many minutes will it take her to travel the same distance? Assume she always walks at the same speed. Help is appreacited. Thanks Click here to see answer by RAY100(1637)

 Question 193691: If a person can run A miles in x hours, how long will it take the person to run B miles at the same rate. Your help is appreciated. Thanks Click here to see answer by stanbon(57219)

 Question 193702: Angela drove 100 miles to Batonsville at an average speed of 50 mph. She then increased her average speed by 20 percent and drove at 30 miles to Catonsville. What was her average speed for the entire journey, miles per hour? Your help is appreaciated. Thanks. Click here to see answer by stanbon(57219)

 Question 193696: Ben owns a house on a river. The river flows at 3 mph. Ben decides to start rowing downstream, with a current, at noon. He wants to return to his house at 5 P.M. At what time should Ben turn around and row home if he normally rows 5 mph in water that has no current? Your help is appreciated. Thanks.. Click here to see answer by stanbon(57219)

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