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Question 395136: A foul ball leaves a bat, hits home plate, and travels straight up with an initial volocity of the rebound of 64 ft/s. How many seconds later will the ball be 64 ft above the ground.I figured it out till I factored out the 16 and then got lost.
H=64t-16t^2
64=64t-16t^2 has 64 subtracted from both sides and becomes the following:
0=-16t^2+64t-64
0=16(t^2+4t-4)
I saw that the first and last terms were squares and so tried to see if it were a perfect square trinomial: (t-2)^2
but when I started the checking process the 2t(-2)=-4 but our middle term is positive four so it isn't a perfect square trinomial, I included right here how I began to check to see if the middle term would come out recalling the pattern for finding the square of a binomial, square of the first term, twice the product of the two terms, square of the last term(Courtesy.,Introductory Algebra: An Applied Approach (a+b)^2+a^2+2ab+b^2
so following what I spoke of above my problem looked like this(t)2+2(t)(-2)-(2)^2but I realized while lookingat the final term, that the final term if -(2)^2 would be -2*-2=4 not the negative four I needed.
So the second thing I started was trying out the different combination of numbers-but became confused because I needed to have a negative 2 and a positive 2 to come out with a negative four but when plugged in (t+2)(t-2)comes to zero and not the positive four I need. I tried +4-1 and vice versa and nothing worked out so I figured I had done something wrong somewhere
Click here to see answer by stanbon(57361)  |
Question 395136: A foul ball leaves a bat, hits home plate, and travels straight up with an initial volocity of the rebound of 64 ft/s. How many seconds later will the ball be 64 ft above the ground.I figured it out till I factored out the 16 and then got lost.
H=64t-16t^2
64=64t-16t^2 has 64 subtracted from both sides and becomes the following:
0=-16t^2+64t-64
0=16(t^2+4t-4)
I saw that the first and last terms were squares and so tried to see if it were a perfect square trinomial: (t-2)^2
but when I started the checking process the 2t(-2)=-4 but our middle term is positive four so it isn't a perfect square trinomial, I included right here how I began to check to see if the middle term would come out recalling the pattern for finding the square of a binomial, square of the first term, twice the product of the two terms, square of the last term(Courtesy.,Introductory Algebra: An Applied Approach (a+b)^2+a^2+2ab+b^2
so following what I spoke of above my problem looked like this(t)2+2(t)(-2)-(2)^2but I realized while lookingat the final term, that the final term if -(2)^2 would be -2*-2=4 not the negative four I needed.
So the second thing I started was trying out the different combination of numbers-but became confused because I needed to have a negative 2 and a positive 2 to come out with a negative four but when plugged in (t+2)(t-2)comes to zero and not the positive four I need. I tried +4-1 and vice versa and nothing worked out so I figured I had done something wrong somewhere
Click here to see answer by Earlsdon(6287) |
Question 395137: Explain the error made in solving the equation. Solve the equation correctly
x^2=x
x^2/x=x/x
x=1
I thought the error was that x^2 is not equal to x, but rather x^2 is equal to x*x and so it should have been multiplication and not division-yet I really don't know I am only taking a guess. I also don't know how to go about solving the equation itself
Click here to see answer by stanbon(57361) |
Question 395137: Explain the error made in solving the equation. Solve the equation correctly
x^2=x
x^2/x=x/x
x=1
I thought the error was that x^2 is not equal to x, but rather x^2 is equal to x*x and so it should have been multiplication and not division-yet I really don't know I am only taking a guess. I also don't know how to go about solving the equation itself
Click here to see answer by Earlsdon(6287) |
Question 395137: Explain the error made in solving the equation. Solve the equation correctly
x^2=x
x^2/x=x/x
x=1
I thought the error was that x^2 is not equal to x, but rather x^2 is equal to x*x and so it should have been multiplication and not division-yet I really don't know I am only taking a guess. I also don't know how to go about solving the equation itself
Click here to see answer by richard1234(5390)  |
Question 395156: Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?
it took me a while trying to figure out what to do in the first place. i at least made it to writing the problem down from the sentence. i know the answer from previous sources. but i still dont know the steps on how exactly (2x-3)(3x+2)became 6x^2-5x-6. i would like to know the steps on how to turn it to 6x^2-5x-6. your help will be greatly appreciated. thank you
Click here to see answer by mananth(12270)  |
Question 395269: A chemist needs a 26% acid mixture, but his lab only has 20% and 35% solutions. If he needs a total of 80 liters of the 26% solution, how much of each percent acid does he need?
I was thinking:
.20(x) + .35(y) = .26(80)
but I'm stuck and it just doesnt' seem like the right way to do it.
Click here to see answer by Alan3354(30993)  |
Question 395269: A chemist needs a 26% acid mixture, but his lab only has 20% and 35% solutions. If he needs a total of 80 liters of the 26% solution, how much of each percent acid does he need?
I was thinking:
.20(x) + .35(y) = .26(80)
but I'm stuck and it just doesnt' seem like the right way to do it.
Click here to see answer by stanbon(57361) |
Question 395344: the width of a box is 9 inches more than its length. the height of the box is 1 inch less than its length. if the box has a volume of 72 cubic inches, what are the dimensions of the box.
Height: x-1
Width: x+9
Length: x
Click here to see answer by ewatrrr(10682)  |
Question 395661: Please help! I am having difficulty with this problem:
Find an nth degree polynomial function with real coefficients satifying the given conditions:
n=3; 4 and 2i are zeros; f(-1)=-50
Thank you so much for any help!
Click here to see answer by Alan3354(30993) |
Question 395665: i need help with this word problem. It deals with Multiplying a Polynomial by a Monomial.
LaTanya's modulat office is square. her office in th company's new building will be 2 feet shorter in one direction and 4 feet longer in the other.
a. write expression for the dimenstions of LaTanya's new office
b. Write a polynomial expression for the area of her new office.
c.suppose her office is presently 9 feet by 9 feet. will her new office be bigger or smaller then her old office and by how much? explain.
Click here to see answer by jrfrunner(365)  |
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7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 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14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 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23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835
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