Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 192033: The text asks us to solve the following statements using either the "object dropped" or "object thrown" formulas.
Given formulas:
Object dropped
Object thrown
h=height (ft)
s=initial height (ft)
t=time in motion
v=initial velocity (feet/second)
The statement:
An acorn falls 45 feet from the top of the tree.
This is what I have tried:
The acorn falls so I used the "object dropped formula". The height (feet) that the acorn fell was 45 feet and the initial height of the acorn was 45 feet. This is how I wrote that out:

Then I attempted to solve for 't'.
I subtracted 45 from both sides ending up with:

I noticed right away that in order to make this true 't' had to be 0. But if t=0 then that means it took the acorn 0 seconds to fall down from the top of the tree. Impossible right???
What am I doing wrong? Please help.

Click here to see answer by Earlsdon(6294)

Question 192049: Use the following functions and answer the questions? f(x)=4x^2-9x+2
a. Does the parabola open up or down?
b. What is the vertex?
c. What is the axis of symmetry? x=
d. What are the x-intercept (include the factors that you used to find them)
e. What are the y-intercept (include the factors that you used to find them)
Click here to see answer by stanbon(75887)

Question 192069: 1.How many mililiters of a 20% acid solution should Annie mix with a 60% acid solution to make 100 mililiters of a 50% acid solution?

Smeagol kicked a ball. The function h(t)= -16t2 +80t describes the height of the ball, in feet, t seconds
after he kicked it. How many seconds did the ball take to first reach 64 feet?
Click here to see answer by Mathtut(3670)

Question 192104: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form?
Click here to see answer by checkley75(3666)

Question 192104: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form?
Click here to see answer by RAY100(1637)

Question 192102: what is the coefficent A,B,C, in the quadratic equation
2x^2-5x=1?
Click here to see answer by RAY100(1637)

Question 192092: Consider the Quadratic function f(x)= 9 x^2 - 1
Its vertex is ( , )
Its x-intercepts are x =
Its y-intercept is y =
Click here to see answer by checkley75(3666)

Question 192101: A gareen is currently 4 m wide and 7 m long. If the area of the garden is to be doubled by increasing the width and length by the same number of meters, find the new dimensions of the garden.
Click here to see answer by RAY100(1637)

Question 192110: The vertex form of a quadraion is 3(x-7)^2-4. Find the usual y=ax^2+bx+c form of the quadratic.

Click here to see answer by checkley75(3666)

Question 192112: Use the Completing the Square method to find the vertex form of the quadratic function y=2x^2+8x+18
Click here to see answer by jim_thompson5910(35256)

Question 192008: Junior�s boat will go 15 miles per hour in still water. If he can go 12 miles downstream in the same amount of time as it takes to go 9miles upstream then what is the speed of the current
Click here to see answer by ankor@dixie-net.com(22740)

Question 192114: Give the usual ax^2+bx+c form of the quadratic function which has a= 1, and has two zeros z= -5 and z= 3
Click here to see answer by edjones(8007)

Question 192114: Give the usual ax^2+bx+c form of the quadratic function which has a= 1, and has two zeros z= -5 and z= 3
Click here to see answer by Mathtut(3670)

Question 192114: Give the usual ax^2+bx+c form of the quadratic function which has a= 1, and has two zeros z= -5 and z= 3
Click here to see answer by solver91311(24713)

Question 192217: The number of new cars purchased in a city can be modeled by the equation C =18t^2 + 174t + 6241, where C is the number of new cars and t = 0 corresponds to the number of new cars purchased in 1972. In what year will the number of new cars reach 35,000? I have tried using the quadratic equation, but I get a strange answer.

Click here to see answer by solver91311(24713)

Question 192232: Solve x^2 + 8x + 10 = 0
Click here to see answer by solver91311(24713)

Question 192242: 12x^2 - 6x = 0
Click here to see answer by Mathtut(3670)

Question 192229: Please help.
Write without exponents.
4^3/2
Click here to see answer by Mathtut(3670)

Question 192279: b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation
Click here to see answer by Alan3354(69443)

Question 192279: b^4 + 13b^2 + 36 = 0 find all real and imaginary solutions to the equation
Click here to see answer by Earlsdon(6294)

Question 192312: -3x� +7x = 0 Solve
Click here to see answer by shamivk(1)

Question 192312: -3x� +7x = 0 Solve
Click here to see answer by orca(409)

Question 192324: Factor 9b^3 - 6b^2
Click here to see answer by checkley75(3666)

Question 192340: I'm having problems with this type of question
Find the height, of a ball, above ground using the following information.
wait 3 seconds, velocity is 45 ft/sec, initial height above ground is 10 ft
wait 2 seconds, velocity is 95 ft/sec, initial height above ground is 50 ft
Click here to see answer by RAY100(1637)

Question 192320: (3x^3 - 9x - 3) / (3x+3)
Click here to see answer by Mathtut(3670)

Question 192296: divide 5x^3-5x+1 by x-3
explain what i am doing

Click here to see answer by Mathtut(3670)

Question 192009: The ancient Greeks thought that the most pleasing shape for a rectangle was one for which has the ratio of the length to the width was approximately 8 to 5, the golden ratio. If the length of a rectangular painting is 2 ft longer than its width, then for what dimensions would the length and width have the golden ratio?

Click here to see answer by jojo14344(1513)

Question 192159: Find a quadratic function that fits the set of data points:
(1,4),(-1,-2),(2,13)
Click here to see answer by ankor@dixie-net.com(22740)

Question 192433: How do you solve (x-9)(x+1)(x-1)=0
Click here to see answer by stanbon(75887)

Question 192433: How do you solve (x-9)(x+1)(x-1)=0
Click here to see answer by Angel73(1)

Question 192241: Please help.
Find all the values of x satisfying the equation.
6+ 1/x+1 = 2/x+2
x=__
If there is more than one solution, separate them with commas.
Click here to see answer by edjones(8007)

Question 192438: Sweet Harmony Crafts has determined that when x hundred Dobros are built, the average cost per Dobro can be estimated by C(x)=.1x^2-.7x+2.425 where C(x) is in hundreds of dollars. What is the minimum average cost per Dobro and how many Dobros should be built to achieve that minimum?

Click here to see answer by stanbon(75887)

Question 192446: To solve percent mixture problems:
How many quarts of water must be added to 5 qt. of an 80% antifreeze solution to make a 50% antifreeze solution?
my try:
Water x 1.00 x
80% 75 .80 75(.80)
50% 75+x .50 .50(75+x)
x+75(80) =50(75+x)
x+6000=3750 + 50x
-49x = -2250
x = -45.91
????
Wrong?

Click here to see answer by Mathtut(3670)

Question 192443: find all zeros: f(x)=x^2+6x+11
Click here to see answer by Mathtut(3670)

Question 192443: find all zeros: f(x)=x^2+6x+11
Click here to see answer by edjones(8007)

Question 192444: To solve mixture problems:
A restaurant manager mixes 5L of pure maple syrup that costs $9.50 per liter with imitaton maple syrup that costs $4.00 per liter. How much imitation maple syrup is needed to make a mixture that costs $5.00 per liter?
my try:
Maple Syrup 5 9.50 5(9.50)
Imitation x 4.00 4.00x
Mixture x+5 5.00 5.00(x+5)
5(9.50) + 400x = 5.00(x+5)
47.50 + 400x = 5.00x + 25
400x = 5.00x - 22.50
80x = -22.50
x= -22.50/80
Don't think this is right??

Click here to see answer by ankor@dixie-net.com(22740)

Question 192482: Please help me to write the equation in standard quadratic form.
Thank You.
Click here to see answer by RAY100(1637)

Question 192499: I am thinking of three consecutive negative numbers. If i multiply the first with the second and then subtract three times the third, the result is 57. What are the numbers?
Click here to see answer by stanbon(75887)

Question 192498: 3x(x+3)=2(5x+1)
Click here to see answer by jojo14344(1513)

Question 192500: Tashin Baker is planning an expansion of a square flower garden in a city park. If each side of the original square is increased by 7 meters and the new total area of the garden will be 144 square meters. Find the lengh of the original garden.
Click here to see answer by nerdybill(7384)

Question 192501: the square of an integer is 30 more than the integer. find the integer.
Click here to see answer by nerdybill(7384)

Question 192506: (x^2-2x)(x+3)=neg.2x(x+1)
Click here to see answer by stanbon(75887)

Question 191651: 9*(x+2/x+3)^2 - 6*(x+2/x+3)+1 = 0
Click here to see answer by stanbon(75887)

Question 192529: Write a quadratic equation whose roots are 6+4i and 6-4i.
My answer is x^2-12x+40=0
Is this correct?
Click here to see answer by stanbon(75887)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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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, 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