Tutor:

New! Get regular updates about newly solved problems via algebra.com's RSS system.

---

Recent problems solved by 'solver91311'

solver91311 answered: 17063 problems
Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299 , 3300..3329 , 3330..3359 , 3360..3389 , 3390..3419 , 3420..3449 , 3450..3479 , 3480..3509 , 3510..3539 , 3540..3569 , 3570..3599 , 3600..3629 , 3630..3659 , 3660..3689 , 3690..3719 , 3720..3749 , 3750..3779 , 3780..3809 , 3810..3839 , 3840..3869 , 3870..3899 , 3900..3929 , 3930..3959 , 3960..3989 , 3990..4019 , 4020..4049 , 4050..4079 , 4080..4109 , 4110..4139 , 4140..4169 , 4170..4199 , 4200..4229 , 4230..4259 , 4260..4289 , 4290..4319 , 4320..4349 , 4350..4379 , 4380..4409 , 4410..4439 , 4440..4469 , 4470..4499 , 4500..4529 , 4530..4559 , 4560..4589 , 4590..4619 , 4620..4649 , 4650..4679 , 4680..4709 , 4710..4739 , 4740..4769 , 4770..4799 , 4800..4829 , 4830..4859 , 4860..4889 , 4890..4919 , 4920..4949 , 4950..4979 , 4980..5009 , 5010..5039 , 5040..5069 , 5070..5099 , 5100..5129 , 5130..5159 , 5160..5189 , 5190..5219 , 5220..5249 , 5250..5279 , 5280..5309 , 5310..5339 , 5340..5369 , 5370..5399 , 5400..5429 , 5430..5459 , 5460..5489 , 5490..5519 , 5520..5549 , 5550..5579 , 5580..5609 , 5610..5639 , 5640..5669 , 5670..5699 , 5700..5729 , 5730..5759 , 5760..5789 , 5790..5819 , 5820..5849 , 5850..5879 , 5880..5909 , 5910..5939 , 5940..5969 , 5970..5999 , 6000..6029 , 6030..6059 , 6060..6089 , 6090..6119 , 6120..6149 , 6150..6179 , 6180..6209 , 6210..6239 , 6240..6269 , 6270..6299 , 6300..6329 , 6330..6359 , 6360..6389 , 6390..6419 , 6420..6449 , 6450..6479 , 6480..6509 , 6510..6539 , 6540..6569 , 6570..6599 , 6600..6629 , 6630..6659 , 6660..6689 , 6690..6719 , 6720..6749 , 6750..6779 , 6780..6809 , 6810..6839 , 6840..6869 , 6870..6899 , 6900..6929 , 6930..6959 , 6960..6989 , 6990..7019 , 7020..7049 , 7050..7079 , 7080..7109 , 7110..7139 , 7140..7169 , 7170..7199 , 7200..7229 , 7230..7259 , 7260..7289 , 7290..7319 , 7320..7349 , 7350..7379 , 7380..7409 , 7410..7439 , 7440..7469 , 7470..7499 , 7500..7529 , 7530..7559 , 7560..7589 , 7590..7619 , 7620..7649 , 7650..7679 , 7680..7709 , 7710..7739 , 7740..7769 , 7770..7799 , 7800..7829 , 7830..7859 , 7860..7889 , 7890..7919 , 7920..7949 , 7950..7979 , 7980..8009 , 8010..8039 , 8040..8069 , 8070..8099 , 8100..8129 , 8130..8159 , 8160..8189 , 8190..8219 , 8220..8249 , 8250..8279 , 8280..8309 , 8310..8339 , 8340..8369 , 8370..8399 , 8400..8429 , 8430..8459 , 8460..8489 , 8490..8519 , 8520..8549 , 8550..8579 , 8580..8609 , 8610..8639 , 8640..8669 , 8670..8699 , 8700..8729 , 8730..8759 , 8760..8789 , 8790..8819 , 8820..8849 , 8850..8879 , 8880..8909 , 8910..8939 , 8940..8969 , 8970..8999 , 9000..9029 , 9030..9059 , 9060..9089 , 9090..9119 , 9120..9149 , 9150..9179 , 9180..9209 , 9210..9239 , 9240..9269 , 9270..9299 , 9300..9329 , 9330..9359 , 9360..9389 , 9390..9419 , 9420..9449 , 9450..9479 , 9480..9509 , 9510..9539 , 9540..9569 , 9570..9599 , 9600..9629 , 9630..9659 , 9660..9689 , 9690..9719 , 9720..9749 , 9750..9779 , 9780..9809 , 9810..9839 , 9840..9869 , 9870..9899 , 9900..9929 , 9930..9959 , 9960..9989 , 9990..10019 , 10020..10049 , 10050..10079 , 10080..10109 , 10110..10139 , 10140..10169 , 10170..10199 , 10200..10229 , 10230..10259 , 10260..10289 , 10290..10319 , 10320..10349 , 10350..10379 , 10380..10409 , 10410..10439 , 10440..10469 , 10470..10499 , 10500..10529 , 10530..10559 , 10560..10589 , 10590..10619 , 10620..10649 , 10650..10679 , 10680..10709 , 10710..10739 , 10740..10769 , 10770..10799 , 10800..10829 , 10830..10859 , 10860..10889 , 10890..10919 , 10920..10949 , 10950..10979 , 10980..11009 , 11010..11039 , 11040..11069 , 11070..11099 , 11100..11129 , 11130..11159 , 11160..11189 , 11190..11219 , 11220..11249 , 11250..11279 , 11280..11309 , 11310..11339 , 11340..11369 , 11370..11399 , 11400..11429 , 11430..11459 , 11460..11489 , 11490..11519 , 11520..11549 , 11550..11579 , 11580..11609 , 11610..11639 , 11640..11669 , 11670..11699 , 11700..11729 , 11730..11759 , 11760..11789 , 11790..11819 , 11820..11849 , 11850..11879 , 11880..11909 , 11910..11939 , 11940..11969 , 11970..11999 , 12000..12029 , 12030..12059 , 12060..12089 , 12090..12119 , 12120..12149 , 12150..12179 , 12180..12209 , 12210..12239 , 12240..12269 , 12270..12299 , 12300..12329 , 12330..12359 , 12360..12389 , 12390..12419 , 12420..12449 , 12450..12479 , 12480..12509 , 12510..12539 , 12540..12569 , 12570..12599 , 12600..12629 , 12630..12659 , 12660..12689 , 12690..12719 , 12720..12749 , 12750..12779 , 12780..12809 , 12810..12839 , 12840..12869 , 12870..12899 , 12900..12929 , 12930..12959 , 12960..12989 , 12990..13019 , 13020..13049 , 13050..13079 , 13080..13109 , 13110..13139 , 13140..13169 , 13170..13199 , 13200..13229 , 13230..13259 , 13260..13289 , 13290..13319 , 13320..13349 , 13350..13379 , 13380..13409 , 13410..13439 , 13440..13469 , 13470..13499 , 13500..13529 , 13530..13559 , 13560..13589 , 13590..13619 , 13620..13649 , 13650..13679 , 13680..13709 , 13710..13739 , 13740..13769 , 13770..13799 , 13800..13829 , 13830..13859 , 13860..13889 , 13890..13919 , 13920..13949 , 13950..13979 , 13980..14009 , 14010..14039 , 14040..14069 , 14070..14099 , 14100..14129 , 14130..14159 , 14160..14189 , 14190..14219 , 14220..14249 , 14250..14279 , 14280..14309 , 14310..14339 , 14340..14369 , 14370..14399 , 14400..14429 , 14430..14459 , 14460..14489 , 14490..14519 , 14520..14549 , 14550..14579 , 14580..14609 , 14610..14639 , 14640..14669 , 14670..14699 , 14700..14729 , 14730..14759 , 14760..14789 , 14790..14819 , 14820..14849 , 14850..14879 , 14880..14909 , 14910..14939 , 14940..14969 , 14970..14999 , 15000..15029 , 15030..15059 , 15060..15089 , 15090..15119 , 15120..15149 , 15150..15179 , 15180..15209 , 15210..15239 , 15240..15269 , 15270..15299 , 15300..15329 , 15330..15359 , 15360..15389 , 15390..15419 , 15420..15449 , 15450..15479 , 15480..15509 , 15510..15539 , 15540..15569 , 15570..15599 , 15600..15629 , 15630..15659 , 15660..15689 , 15690..15719 , 15720..15749 , 15750..15779 , 15780..15809 , 15810..15839 , 15840..15869 , 15870..15899 , 15900..15929 , 15930..15959 , 15960..15989 , 15990..16019 , 16020..16049 , 16050..16079 , 16080..16109 , 16110..16139 , 16140..16169 , 16170..16199 , 16200..16229 , 16230..16259 , 16260..16289 , 16290..16319 , 16320..16349 , 16350..16379 , 16380..16409 , 16410..16439 , 16440..16469 , 16470..16499 , 16500..16529 , 16530..16559 , 16560..16589 , 16590..16619 , 16620..16649 , 16650..16679 , 16680..16709 , 16710..16739 , 16740..16769 , 16770..16799 , 16800..16829 , 16830..16859 , 16860..16889 , 16890..16919 , 16920..16949 , 16950..16979 , 16980..17009 , 17010..17039 , 17040..17069, >>Next

test/643243: You are given an equation of a line and a point. Use substitution to determine weather the point is in the line. Y=5x+3;A(1;8) 1 solutions Answer 404407 by solver91311(17077)   on 2012-08-29 20:03:47 (Show Source): You can put this solution on YOUR website! Replace in the equation with the -coordinate of the given point. Replace in the equation with the -coordinate of the given point. Do the arithmetic. If the result is a true statement, then the point is on the line, otherwise not. And your problem has nothing whatever to do with wind, precipitation, temperature or any other local current atmospheric conditions. You want to know whether the point is on the line; weather has nothing to do with it. John My calculator said it, I believe it, that settles it

Expressions-with-variables/643235: An apartment bldg contains 250 apts. There are 50 more 2 bedroom apts than 1 bedroom apts. How many apts of each are there? 1 solutions Answer 404401 by solver91311(17077)   on 2012-08-29 19:57:24 (Show Source): You can put this solution on YOUR website! Let represent the number of 1 bedroom apartments. Then must represent the number of 2 bedroom apartments. Together they total 250, so: Solve for , then calculate John My calculator said it, I believe it, that settles it

Age_Word_Problems/643226: Two men are 50 and 30 years old. How many years ago was the older twice the age of the younger? 1 solutions Answer 404397 by solver91311(17077)   on 2012-08-29 19:53:09 (Show Source): You can put this solution on YOUR website! Let represent the "number of years ago". The older guy is at that time, and the younger is at that time and we know that: Solve for John My calculator said it, I believe it, that settles it

Equations/643225: how to solve 3(5+3m)-8=7 1 solutions Answer 404389 by solver91311(17077)   on 2012-08-29 19:41:54 (Show Source): You can put this solution on YOUR website! Add 8 to both sides. Multiply both sides by Add -5 to both sides Multiply both sides by John My calculator said it, I believe it, that settles it

Expressions-with-variables/643223: How do you write eight divided by the sum of g and six in an algebraic expeession? 1 solutions Answer 404388 by solver91311(17077)   on 2012-08-29 19:39:18 (Show Source): You can put this solution on YOUR website! Sum means add. Show the addition of and 6 and then show 8 divided by this quantity. John My calculator said it, I believe it, that settles it

Equations/643219: HELP PLEASE: /=DIVIDE (7-10)[49/(-7)+20*3-4*15-(-10)] BOOK SAYS ANSWER SHOULD BE -9. 1 solutions Answer 404386 by solver91311(17077)   on 2012-08-29 19:37:00 (Show Source): You can put this solution on YOUR website! Please turn off your Caps Lock and then re-post. John My calculator said it, I believe it, that settles it

Equations/643221: PLEASE HELP: 13-2[(19-14)/5+3(-4)-5] BOOK SAYS ANSWER SHOULB BE 45. 1 solutions Answer 404385 by solver91311(17077)   on 2012-08-29 19:36:17 (Show Source): You can put this solution on YOUR website! Please turn off your Caps Lock and then re-post. John My calculator said it, I believe it, that settles it

Rate-of-work-word-problems/643212: if one painter can paint a house in 7 hours, and another painter in 11 hours. how fast can the paint the same house in? 1 solutions Answer 404383 by solver91311(17077)   on 2012-08-29 19:29:10 (Show Source): You can put this solution on YOUR website! If A can do a job in x time periods, then A can do of the job in 1 time period. Likewise, if B can do the same job in y time periods, then B can do of the job in 1 time period. So, working together, they can do of the job in 1 time period. Therefore, they can do the whole job in: time periods. John My calculator said it, I believe it, that settles it

Rational-functions/643090: Could you please help me with this problem? I am given the function f(x)= x^2 + 2x + 6 with a domain where x = all real numbers, and x is ≤ k. F is a one to one function, and I am to determine the greatest possible value of k. When k has that value, I am then to determine the range of f, and then the inverse function f^-1 and state its domain and range. After that I am to graph f(x) and f^-1(x). I believe I know how to find the value of k; it's just asking for the upper limit of the domain of the function given. I think to determine the range you can complete the square and put the equation into standard parabola form and so determine the vertex from that, using the y point of the vertex and the fact that it is either an up/down parabola (I believe this one is up) to find the range. I'm just having trouble finding the inverse function. When I switch the x's and y's from the original equation and try to solve for y I seem to get stuck. I know how to find the domain and range from there and I am fairly certain I can graph the equation. I just need help finding the inverse function. Please help? :) 1 solutions Answer 404366 by solver91311(17077)   on 2012-08-29 18:24:40 (Show Source): You can put this solution on YOUR website! In order to get the range of you first have to establish the maximum value of . The key to this is the fact that has been declared a 1 to 1 function. Parabolas, in their full glory, are never 1 to 1 functions because for any value of the independent variable there is a second value of the independent variable on the other side of and equidistant from the vertex that gives the same function value. In other words a full parabola never passes the horizontal line test. Enter this mysterious value . If you think about it a second, you can choose a value for at or less than the -coordinate of the vertex and you will guarantee yourself a 1 to 1 function. Obviously, if you choose , then will be at its maximum value. So where is the vertex? For any quadratic function in standard form, i.e., , the -coordinate of the vertex is located at , and the -coordinate is just the value of the function at that value. Let's find your vertex: Hence, your vertex is at Now we know that the maximum possible value of is -1, and, since we know the parabola opens upward because of the positive lead coefficient on , the value of the function at the vertex is a minimum, we can say that On to the inverse. Let's discover the inverse relation that would derive from the original function. As is normal, replace with Now let's go about solving for in terms of . Put all the terms in the LHS, and every thing else in the RHS. Complete the square on the LHS: Factor the LHS perfect square: Take the root: Finish up And finally, swap the variables: Almost there but we aren't quite ready to call this an inverse function yet -- because it is not a function. We have both sides of the "on its side" parabola and we only want one of the sides to match our original function. Since our original function was the left side of the parabola, the inverse has to be the bottom side of the resulting sideways parabola (because of the required symmetry of a function and its inverse about the line ), hence: Swapping the coordinates of the vertex on the original function will give you the vertex on the inverse. Your domain and range of the inverse should be easy to see from there. John My calculator said it, I believe it, that settles it

Exponents/643089: 5AB to the -2nd power I dont get this. How do i make it so that the exponent is positive? 1 solutions Answer 404330 by solver91311(17077)   on 2012-08-29 17:28:27 (Show Source): You can put this solution on YOUR website! If your negative exponent is in the numerator, put it in the denominator and make it positive, if it is in the denominator, put it in the numerator. John My calculator said it, I believe it, that settles it

Expressions-with-variables/643031: what does a positive plus a negative equal? 1 solutions Answer 404308 by solver91311(17077)   on 2012-08-29 16:05:10 (Show Source): You can put this solution on YOUR website! It depends on what particular positive and what particular negative you are talking about. In general though: John My calculator said it, I believe it, that settles it

Square-cubic-other-roots/643000: How would you factor this type of cubed root problem? cubed root of 16x to the 4th power (x with exponent 4) 1 solutions Answer 404307 by solver91311(17077)   on 2012-08-29 15:53:40 (Show Source): You can put this solution on YOUR website! Note that So At least, that is how I would do it. You can do it any way you like. John My calculator said it, I believe it, that settles it

Geometry_proofs/643016: I need help solving this proof, PQ 5 RS. Prove PR 5 QS ____________________ P Q R S Professor gave us this much 1.PQ=RS given 2.QR=QR Reflexive property 3. 4. 5.PR=QS We are to do 3,4,5 and give reason, I have no clue how to do this. Help! 1 solutions Answer 404305 by solver91311(17077)   on 2012-08-29 15:44:19 (Show Source): You can put this solution on YOUR website! Not sure what you mean by "PQ 5 RS", so I'm just going to assume that you mean to say: "The measure of line segment PQ is equal to the measure of the line segment RS", which is what your first step, PQ = RS means. 3. PQ + QR = QR + RS, Additive property of Equality. 4. PQ + QR = PR and QR + RS = QS, Definition of the sum of line segments 5. Therefore PR = QS by Transitive Equality. Q.E.D. John My calculator said it, I believe it, that settles it

Functions/643017: i don't really know how to explain the question so i will write it out. Consider the function below, f(x). how do i evaluate f(0) using the graph 1 solutions Answer 404301 by solver91311(17077)   on 2012-08-29 15:27:32 (Show Source): You can put this solution on YOUR website! Find the point on your graph. This is the point where the graph of the function intersects the -axis. The value is the value of . In the future, it might be helpful for you to stop thinking of ordered pairs in as . Rather think of them as John My calculator said it, I believe it, that settles it

Travel_Word_Problems/643015: two cars traveling toward each other are 270 miles apart. car a is traveling 25 miles per hour faster than car B. the cars pass after 2 hours. how fast is each car traveling? 1 solutions Answer 404299 by solver91311(17077)   on 2012-08-29 15:23:36 (Show Source): You can put this solution on YOUR website! If they pass after 2 hours, then the sum of their speeds has to be 270 divided by 2 miles per hour. So . Solve for , then calculate . The faster guy will be lucky if he doesn't get a ticket. John My calculator said it, I believe it, that settles it

Matrices-and-determiminant/642950: Can someone help with 6x + y = 19 and 5x = 2y = 31 solved via Gauss - Jordan Method? Im stuck at [1 * * 0 * * ] 1 solutions Answer 404294 by solver91311(17077)   on 2012-08-29 14:01:34 (Show Source): You can put this solution on YOUR website! I'm going to assume because the numbers come out super ugly if you do John My calculator said it, I believe it, that settles it

Geometry_Word_Problems/642955: a right triangle with two known dimensions 16 and 32. what is the third measurement? 1 solutions Answer 404290 by solver91311(17077)   on 2012-08-29 13:29:15 (Show Source): You can put this solution on YOUR website! Depends. Could be: or depending on whether the unknown side is the hypotenuse or not. John My calculator said it, I believe it, that settles it

test/642952: 4(y - 1/5)- y = 6(2-y) 4y-4 1/5 - y = 12 - 6y 4y - 21/5 - y = 12- 6y 5y - 21/5 = 12 - 6y 5y - 5y - 21/5 = 12 - 6y - 5y -21/5 = 12 - 11y ??????? Not sure how to solve any futher 1 solutions Answer 404289 by solver91311(17077)   on 2012-08-29 13:26:03 (Show Source): You can put this solution on YOUR website! 4 times 1/5 is 4/5, not 4 1/5 (21/5). 4y - y is 3y, not 5y. When you get to your fifth step, add 6x to both sides. Things are neater if the variable is in the LHS. Fix those mistakes and then let me know if you still need help. John My calculator said it, I believe it, that settles it

test/642547: How do you turn a decimal into a fraction ? 2.57142857 Is what as a fraction 1 solutions Answer 404137 by solver91311(17077)   on 2012-08-28 19:10:21 (Show Source): You can put this solution on YOUR website! Write the given number as the numerator. Write 1 as the denominator. Counting the number of times you move it, move the decimal point in the numerator to the right all the way to the end of the given digits. Add a number of zeros equal to the number of places you moved the numerator decimal point to the 1 in the denominator. John My calculator said it, I believe it, that settles it

Volume/642533: I have a pool that has a 45,000 L volume. What is the weight of the pool (just the water) on the surrounding land? 1 solutions Answer 404135 by solver91311(17077)   on 2012-08-28 19:06:20 (Show Source): You can put this solution on YOUR website! Find out what a liter weighs and then multiply by 45,000. John My calculator said it, I believe it, that settles it

Equations/642518: -107=-3(8+4x)+1 how to solve for x? 1 solutions Answer 404128 by solver91311(17077)   on 2012-08-28 18:47:30 (Show Source): You can put this solution on YOUR website! Add -1 to both sides. Multiply both sides by Add -8 to both sides. Multiply both sides by John My calculator said it, I believe it, that settles it

Problems-with-consecutive-odd-even-integers/642512: Find 2 consecutive integers who's sum is 4 more than 3 times the difference of the first integer plus 7 1 solutions Answer 404126 by solver91311(17077)   on 2012-08-28 18:45:02 (Show Source): You can put this solution on YOUR website! "3 times the difference of the first integer plus 7" makes no sense. Re-post stating your problem correctly. John My calculator said it, I believe it, that settles it

test/642516: I need help 1 solutions Answer 404125 by solver91311(17077)   on 2012-08-28 18:43:03 (Show Source): You can put this solution on YOUR website! You certainly do. And your first step is to learn to read; specifically the instructions for posting. John My calculator said it, I believe it, that settles it

Permutations/642511: How does 8, 6, 4 and 3 equal 24 using only +, -, * and /? 1 solutions Answer 404124 by solver91311(17077)   on 2012-08-28 18:42:05 (Show Source): You can put this solution on YOUR website! 8 plus 4 is 12. 6 divided by 3 is 2. 12 times 2 is 24. Because of order of operations, you need to use parentheses as well as the symbols given. John My calculator said it, I believe it, that settles it

expressions/642347: evaluate lim h tendin to 0 root of x+h - root x/ h , x is not equal to 0 sir / maam humble requestsolve my problem pls 1 solutions Answer 404122 by solver91311(17077)   on 2012-08-28 18:34:13 (Show Source): You can put this solution on YOUR website! The trick here is to deny our instincts and rationalize the numerator Note that the numerator is the difference of two quantities that we would very much like to square individually. Recalling that the product of a pair of conjugates is the difference of two squares, multiply the fraction by 1 in the form of the conjugate of the numerator divided by itself: Now all you have to do is drive to zero: John My calculator said it, I believe it, that settles it

Linear-equations/642377: i need to know what vertical and horizontal intercepts are 1 solutions Answer 404078 by solver91311(17077)   on 2012-08-28 15:59:25 (Show Source): You can put this solution on YOUR website! I presume you are talking about -intercepts when you say vertical and -intercepts when you say horizontal. -intercepts is(are) the point(s) where a graph intersect(s) the -axis. -intercepts of the graphs of functions are ordered pairs that always have the form . -intercepts is(are) the point(s) where a graph intersect(s) the -axis and are ordered pairs that always have the form where all are contained in the set of zeros of the function. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/642364: I have no clue on what to do in order to solve this problem. I have tried numerous times and it doesnt seem like it is right. can someone help please? Maximum profit. A chain store manager has been told by the main office that daily profit, P, is related to the number of clerks working that day, x, according to the function P = -25x^2 +300x. What number of clerks will maximize the profit, and what is the maximum possible profit? 1 solutions Answer 404077 by solver91311(17077)   on 2012-08-28 15:49:55 (Show Source): You can put this solution on YOUR website! The graph of your profit function is a convex down parabola because of the negative lead coefficient. Hence, the vertex of the parabola is a maximum. You need the coordinate of the vertex to answer your question. The -coordinate of the vertex of the parabola is given by . Just plug in your given values for and and then do the arithmetic. John My calculator said it, I believe it, that settles it

Polynomials-and-rational-expressions/642353: I am not good with factoring the polynomials and I need help. What are the steps for factoring a polynomial? Could you tell me the steps and give me some examples to go off of? Thanks. 1 solutions Answer 404072 by solver91311(17077)   on 2012-08-28 15:21:39 (Show Source): You can put this solution on YOUR website! Factoring polynomials is something like 3 or 4 weeks of a course of instruction in Algebra 1. Do you seriously expect someone to put that much information in to one of these little answer boxes? Go back and read the instructions for posting, especially the one that says to be specific about the ONE problem you submit per post and to show the work you have done so far. John My calculator said it, I believe it, that settles it

Money_Word_Problems/642351: How much will 60,000 build off intrest over a year, if its in the bank? 1 solutions Answer 404070 by solver91311(17077)   on 2012-08-28 15:14:30 (Show Source): You can put this solution on YOUR website! Depends on the interest rate and the number of compounding periods. John My calculator said it, I believe it, that settles it

Equations/642352: How do you find the quotient of 5/4 divided by 4 5/6? 1 solutions Answer 404069 by solver91311(17077)   on 2012-08-28 15:13:46 (Show Source): You can put this solution on YOUR website! Convert the mixed number divisor to an improper fraction, then invert and multiply. John My calculator said it, I believe it, that settles it

Trigonometry-basics/642348: Use a trigonometric ratio to find the value of x. Round the answer to the tenths’ place. Here's a link to a picture of the problems: #1 http://diagnostics.aceministries.com/images/math/math_8_5_1_7.png Again, thank you so much for your help! I need a refresher! 1 solutions Answer 404068 by solver91311(17077)   on 2012-08-28 15:12:46 (Show Source): You can put this solution on YOUR website! The cosine is defined as the adjacent side divided by the hypotenuse, so for your problem: So Just use your calculator. John My calculator said it, I believe it, that settles it