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 Numbers_Word_Problems/471133: In the figure below, the ratio of AB to DE or the ratio of AC to DF is the same as the ratio of 5 to 4. Find the ratio of x to y.1 solutions Answer 323143 by Alan3354(30993)   on 2011-07-17 08:47:41 (Show Source): You can put this solution on YOUR website!No figure is shown.
 logarithm/471131: (log2x+logx)/(log2x-logx)=31 solutions Answer 323142 by Alan3354(30993)   on 2011-07-17 08:46:46 (Show Source): You can put this solution on YOUR website!(log2x+logx)/(log2x-logx)=3 x = 2 ----- x = -2 is rejected due to the logs
 Mixture_Word_Problems/471083: how much water must be evaporated from 5 liters of 25% salt solution if the remaining solution must be 50%? 1 solutions Answer 323140 by Alan3354(30993)   on 2011-07-17 08:39:07 (Show Source): You can put this solution on YOUR website!25% of 5 liters = 1.25 liters of salt For that to be 50%, there has to be 1.25 liters of water --> 2.5 liters total. 5 - 2.5 = 2.5 liters to evaporate.
5x^2=-19x-12
___________________________________________________________________________________
3) f(x)=-(x+2)^2-7
The vertex is: _____ (type an ordered pair)
The line of symmetry is x=_____
The maximum and minimum value of f(x) is______
The value, f(-2)=-7 is _____
a)Maximus
b)Minimum
_______________________________________________________________________________
4) Solve the formula for the given letter. Assume all variables represents nonnegative numbers.
a^2+q^2=g^2,for a
Choose the correct value for
1)a –√(g^2-q^2 )
2)√(g^2-q^2 )
3)g^2-q^2
______________________________________________________________________________
5)Determine the nature of the solutions of the equations.
y^2=4/7 y+1/2
a) The equation has one real solution
b) The equation has two real solutions
c) The equation has two non-real solutions
______________________________________________________________________________
7) Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
f(x)=1/3(x+2)^2+3
The vertex is____(type an ordered pair)
The line of symmetry is x=_____
What is the maximum/minimum value of f(x)?_____
Is the value, f(-2)=3 a minimum or maximum?
a)Maximum
b)Minimum
________________________________________________________________________
8) Determine the nature of the solutions of the equation.
x^2-4x+4=0
What does the equations have?
a)Two real solutions
b)One real solution
c)Two non-real solutions
_______________________________________________
9) Give exact and approximate solutions to three decimal places
x^2-5x+3=0
The exact solutions are x=____
The approximate solutions to 3 decimal places are x=____
________________________________________________________________________________
10) Solve by completing the square.
x^2+5/2 x=5
What is the solution? X=_____
__________________________________________________
11) A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 80 ft of fence? What should the dimensions of the garden be to given this area.
The maximum area that the farmer can enclose with 80 ft of fence is ___ sq ft.
The dimensions of the garden to give this area is 40 ft by ___ ft
___________________________________________________________________________
12)Find and label the vertex and the line of symmetry.
f(x)=-3(x+2)^2
The vertex is _____(type an ordered pair)
The equation of the line symmetry is x=____
__________________________________________________________________
13) Find and label the vertex and the line of symmetry.
f(x)=1/4 x^2
The vertex is _____(type an ordered pair)
________________________________________________________________________
14) The width of a rectangle is 1 ft less the length. The area is 6 ft^2. Find the length and the width.
The width is ___ ft
The length is ____ft
__________________________________________________________
15)Find the vertex, the line of symmetry, the maximum or minimum value of the quadractic function
f(x)=x^2-8x-4
What is the vertex?___(type an ordered pair)
What is the equation of the line of symmetry?____
What is the maximum/ minimum of f(x)?_____
Is the value, f(4)=-2 a minimum or maximum?
_______________________________________________________________________
16)A student opens a mathematics book to two facing pages. The product of the page number is 930. Find the page numbers.
The first page is___
The second page is ____
___________________________________________________________________________
17) Find the vertex, the line of symmetry, the maximum or minimum value of the quadratic function.
f(x)=3x^2-6x+6
The vertex is___(type an order pair)
Choose the correct line of symmetry below.
a)Y=3
b)X=1
c)Y=-3
d)X=-1
The maximum/ minimum of f(x) is_______
Is the value, f(1)=3 a minimum or a maximum?_________
___________________________________________________________________
18) Solve 3x^2-7x-13=0
Find the x- intercepts of f(x)= 3x^2-7x-13
What are the solutions? X=______ (type exact answers, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed)
What are the x- intercepts?_____( Type ordered pairs. Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use a comma to separate answers as needed)
_______________________________________________________________________
19) What a quadratic equation in the variable x having the given numbers as solution. Type the equation in standard form,ax^2+bx+c=0
Solution:5, only solution.
The equation is ___=0
______________________________________________________________________
20)Find the vertex, line symmetry, the maximum or minimum value of the quadratic function.
f(x)-2x^2+2x+10
The x- coordinate of the vertex is___( type a simplified fraction)
The y-coordinate of the vertex is___(type a simplified fraction)
The equation of the line symmetry is x=____(Type a simplified fraction)
The maximum/ minimum of f(x) is ____(Type a simplified fraction)
The value, f(1/2)=21/2 is?
a)Maximum
b)Minimum
_____________________________________________________________
21) Find the x and y intercepts
f(x)=16x^2+8x+1
The y intercept is ___( Type an ordered pair)
The x intercept is ___(Type an ordered pair)
___________________________________________________________________
22)Give exact and approximate solutions to three decimal places.
x^2+16x+64=16
What are the exact solution? X=____ (type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use a comma to separate answers as needed.
___________________________________________________________
23) Give exact and approximate solution to three decimal places.
(x+3)^2=64
What are the exact solutions? X=____(Type an exact answer, using radicals as needed. Rationalize all denominators. Express complex numbers in terms of i. Use comma to separate answers as needed)
There are no approximate solutions since the solution are intergers.

1 solutions

Answer 323139 by Alan3354(30993)   on 2011-07-17 08:33:36 (Show Source):
You can put this solution on YOUR website!
22)Give exact and approximate solutions to three decimal places.
x^2+16x+64=16
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 Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc) Quadratic equation (in our case ) has the following solutons: For these solutions to exist, the discriminant should not be a negative number. First, we need to compute the discriminant : . Discriminant d=64 is greater than zero. That means that there are two solutions: . Quadratic expression can be factored: Again, the answer is: -4, -12. Here's your graph:

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It's not likely anyone will do all those for you, unless you show your efforts.
Maybe not then, but your chances are better.

 Exponential-and-logarithmic-functions/470906: What is rule (ii) in an equation like 8-2x≤ 10?1 solutions Answer 323078 by Alan3354(30993)   on 2011-07-16 18:56:17 (Show Source): You can put this solution on YOUR website!I don't know. That cannot be calculated or figured out, it has to be "looked up" somewhere. We're not here to look things up, but to help with math problems.
 Probability-and-statistics/470935: A teacher asks each student in the class to randomly choose a number from 1 to 60 and write it down. Gloria and Bill each write down a number. What is the probability that both of their choices will be greater that 55?1 solutions Answer 323075 by Alan3354(30993)   on 2011-07-16 18:51:48 (Show Source): You can put this solution on YOUR website!A teacher asks each student in the class to randomly choose a number from 1 to 60 and write it down. Gloria and Bill each write down a number. What is the probability that both of their choices will be greater that 55? ----------------- The choices greater than 55 are 56, 57, 58, 59 & 60, 5 of them. 5/60 = 1/12 --------- (1/12)*(1/12) = 1/144
 test/470995: Graph x=3y^2+8y+121 solutions Answer 323072 by Alan3354(30993)   on 2011-07-16 18:49:13 (Show Source): You can put this solution on YOUR website!dl the FREE graph software at http://www.padowan.dk --------------- Use F6 to enter the relationship
 test/470991: X=3y^2+8y+121 solutions Answer 323071 by Alan3354(30993)   on 2011-07-16 18:47:50 (Show Source): You can put this solution on YOUR website!Do you have a question?
 Linear_Algebra/470883: Let "x" be defined as x = x^2 - x for all values of x. If a = a-2, what is the value of "a"? The answer is 3/2, but I do not understand how they got this answer........please help.1 solutions Answer 323069 by Alan3354(30993)   on 2011-07-16 18:43:45 (Show Source): You can put this solution on YOUR website!Let "x" be defined as x = x^2 - x for all values of x. If a = a-2, what is the value of "a"? -------------- If a = a-2, then 0 = -2 That makes no sense, there's no relation to x.
 Finance/470891: calculate 2000 borrowed at 9% to be paid back in 24 months 2000x 9%=180 then what or is this how to start1 solutions Answer 323067 by Alan3354(30993)   on 2011-07-16 18:41:10 (Show Source): You can put this solution on YOUR website!Calculate what?
 Complex_Numbers/470931: How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ? I have tried and my working are as follows: r = sqrt ((sqrt3)^2 + 1^2) = 2 alpha = arctan (1/sqrt3) = pi/6 Z = r (cos alpha + i sin alpha) = 2 (cos pi/6 + i sin pi/6) = 2 e^i(pi/6) (sqrt3 + i)^100 = (2e^i(pi/6)^100 = 2^100 x e^i(100pi/6) = 2^100 x e^i(50pi/3) = ? How do I solve from here ?1 solutions Answer 323066 by Alan3354(30993)   on 2011-07-16 18:37:43 (Show Source): You can put this solution on YOUR website!duplicate
 Linear_Algebra/470978: h(t)= c-(d-4t)^2; At time t=0, an initial height of 6 feet. Until the ball hit the ground, its height in feet after t seconds was given by the function h (at the beginning of problem), in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t=2.5, what was the height in feet of the ball at t=1 ? The answer is 70, but I do not understand how they came up with this answer....please help!1 solutions Answer 323041 by Alan3354(30993)   on 2011-07-16 17:22:12 (Show Source): You can put this solution on YOUR website!h(t)= c-(d-4t)^2; At time t=0, an initial height of 6 feet. Until the ball hit the ground, its height in feet after t seconds was given by the function h (at the beginning of problem), in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t=2.5, what was the height in feet of the ball at t=1 ? ------------------- Solve for c & d ------------------- h(t)= c-(d-4t)^2 h(0) = c - d^2 = 6 h(2.5) = c - (d - 10)^2 = 106 ----------------------- c - d^2 = 6 c = d^2 + 6 -------------- c - (d - 10)^2 = 106 c - d^2 + 20d - 100 = 106 Sub for c d^2+6 - d^2 + 20d = 206 20d = 200 d = 10 -------- c = 106 ------------- h(t) = 106 - (10 - 4t)^2 h(1) = 106 - 6^2 h(1) = 70
 Exponential-and-logarithmic-functions/470964: can you break this down for me step by step exsplaing log10 191 solutions Answer 323040 by Alan3354(30993)   on 2011-07-16 17:15:31 (Show Source): You can put this solution on YOUR website!Get a calculator. Press 1, 9, log
 Complex_Numbers/470932: How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ? I have tried and my working are as follows: r = sqrt ((sqrt3)^2 + 1^2) = 2 alpha = arctan (1/sqrt3) = pi/6 Z = r (cos alpha + i sin alpha) = 2 (cos pi/6 + i sin pi/6) = 2 e^i(pi/6) (sqrt3 + i)^100 = (2e^i(pi/6)^100 = 2^100 x e^i(100pi/6) = 2^100 x e^i(50pi/3) = ? How do I solve from here ?1 solutions Answer 323031 by Alan3354(30993)   on 2011-07-16 16:13:52 (Show Source): You can put this solution on YOUR website!How do we calculate the real and imaginary parts of (sqrt3 + i)^100 ? I have tried and my working are as follows: r = sqrt ((sqrt3)^2 + 1^2) = 2 alpha = arctan (1/sqrt3) = pi/6 Z = r (cos alpha + i sin alpha) Z = 2 (cos pi/6 + i sin pi/6) For the other 99 roots add 2pi and divide by 600 ---------------------------------- ---------------------------------- = 2 e^i(pi/6) (sqrt3 + i)^100 = (2e^i(pi/6)^100 = 2^100 x e^i(100pi/6) = 2^100 x e^i(50pi/3)
 Square-cubic-other-roots/470945: I am to multiply and simplify by factoring the following: cuberty^7 *cubert81y^8 1 solutions Answer 323015 by Alan3354(30993)   on 2011-07-16 14:54:55 (Show Source): You can put this solution on YOUR website! = = = = = ---------------
 Polynomials-and-rational-expressions/470948: Multiply and simplify (6y)^3*(6y)^71 solutions Answer 323011 by Alan3354(30993)   on 2011-07-16 14:46:36 (Show Source): You can put this solution on YOUR website!Multiply and simplify (6y)^3*(6y)^7 ----------------- = = ------------------ You can pick the one you think is simpler. "Simplified" can be a matter of opinion.
 Polynomials-and-rational-expressions/470947: Write the equation of the line passing through (-4, 4) and (8, 7) 1 solutions Answer 323007 by Alan3354(30993)   on 2011-07-16 14:33:36 (Show Source): You can put this solution on YOUR website!Write the equation of the line passing through (-4, 4) and (8, 7) ---------------- Determinants is the best method, if you understand them: ------------ |+x +y +1| |-4 +4 +1| = 0 |+8 +7 +1| The plus signs are for alignment. ------------- x*(4-7) - y*(-4-8) + (-28-32) = 0 -3x + 12y = 60 x - 4y = -20
 Polynomials-and-rational-expressions/470924: Use the FOIL method to find the product (4x^6-3)(x^8-9)1 solutions Answer 323002 by Alan3354(30993)   on 2011-07-16 13:18:23 (Show Source):
 Geometry_Word_Problems/470922: A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the right triangle be? pls help! thanks, roya1 solutions Answer 323001 by Alan3354(30993)   on 2011-07-16 13:17:08 (Show Source): You can put this solution on YOUR website!A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 1 cm more than the shorter leg and the hypotenuse 2 cm more than the shorter leg. How long should the sides of the right triangle be? -------------------- s = shortest leg s + 1 = 2nd leg h = s+2 (hypotenuse) ------- (s-3)*(s+1) = 0 s = -1 Ignore s = 3 ------------- Sides are 3, 4 & 5
 Square-cubic-other-roots/470914: solve the equation w=cr -2 for r 1 solutions Answer 323000 by Alan3354(30993)   on 2011-07-16 13:07:47 (Show Source): You can put this solution on YOUR website!solve the equation w=cr -2 for r ------------ w=cr -2 Add 2 w+2 = cr Divide by c
 Travel_Word_Problems/174073: Doctor White leaves home to drive to a convention. She is traveling at 55miles/hour. She is 10 miles from home when her husband realizes that she has forgotten her briefcase. How fast will he have to drive to catch her in two hours?1 solutions Answer 322998 by Alan3354(30993)   on 2011-07-16 12:53:14 (Show Source): You can put this solution on YOUR website!She's 10 miles away. He wants to travel 10 miles in 2 hour = 5 mph relative to his wife 55 + 5 = 60 mph
 Square-cubic-other-roots/470917: What is the sixth part of 426 cu cm?1 solutions Answer 322997 by Alan3354(30993)   on 2011-07-16 12:50:10 (Show Source): You can put this solution on YOUR website!If you mean what's 1/6, it's 71. 426/6 = 71
 Sequences-and-series/470826: help,Please! I spend hole week can solve , thank you in advance I need help number 17 and 19 http://assets.openstudy.com/updates/attachments/4e20e91a0b8b4841c1ab5a86-salina-1310781031329-page516.jpg1 solutions Answer 322996 by Alan3354(30993)   on 2011-07-16 12:46:50 (Show Source): You can put this solution on YOUR website!There's no 17 or 19 shown, it's 52 thru 72.
 Linear-equations/470913: solve: for w p=29l=29w1 solutions Answer 322993 by Alan3354(30993)   on 2011-07-16 12:30:47 (Show Source): You can put this solution on YOUR website!Too many equal signs
 Systems-of-equations/470830: Solve the system of equations below: 7x-8y+6z=0 -3x-2y-z=0 -7x-y-z=0 a.(-5c,8c,-8c) b.(0,0,0) c.(-5,-8,8) d.(-8,8,-5) e.(-8c,8c,-5c)1 solutions Answer 322992 by Alan3354(30993)   on 2011-07-16 12:30:01 (Show Source): You can put this solution on YOUR website!b When all the RHS is zero, the variables are zeroes.
 Geometry_Word_Problems/470871: A garden is 4x feet long and 5x feet wide. Write an expression (in simplest form) that represents the area of the garden.1 solutions Answer 322960 by Alan3354(30993)   on 2011-07-16 07:48:30 (Show Source): You can put this solution on YOUR website!Area = 4*5 Area = 20 sq ft
 Distributive-associative-commutative-properties/470775: Here is the original problem: 6(y-1/6)+3(2y-4). I got to the point where it is 12y-1-12. I'm just wondering if the subtraction sign in front of the one makes it a negative one, so insted of the answer being 12y-11 would it be 12y-13? Sorry if my question is long and confusing, I wan't sure how to phrase it.1 solutions Answer 322918 by Alan3354(30993)   on 2011-07-15 20:18:55 (Show Source): You can put this solution on YOUR website!6(y-1/6)+3(2y-4) = 6y-1 + 6y-12 = 12y - 13
 Exponential-and-logarithmic-functions/470755: 7. Solve the equation below. Please show all of your work. log4 2=5/4-2x1 solutions Answer 322910 by Alan3354(30993)   on 2011-07-15 18:53:29 (Show Source): You can put this solution on YOUR website! log4 2=5/4-2x Is it (5/4) - 2x ?? or 5/(4-2x) -------------- It's your job to make it clear what the problem is.
 Exponential-and-logarithmic-functions/470756: 8. Use properties of logarithms to find the exact value of the expression. 9 elog9 2 please help I'm lost!1 solutions Answer 322908 by Alan3354(30993)   on 2011-07-15 18:47:54 (Show Source): You can put this solution on YOUR website!I don't know what that means.
 Rate-of-work-word-problems/470746: if John paints a house in 6 hours and ted paints a house in 12 hours, how long will it take if they work together?1 solutions Answer 322905 by Alan3354(30993)   on 2011-07-15 18:32:16 (Show Source): You can put this solution on YOUR website!In 1 hour, John can do 1/6 and Ted can do 1/12. Can you go from there? ------------------- I had a problem similar to this in 8th grade algebra. I worked on it over an entire weekend before I figured out how to do it, and all like it. Has someone showed me how to do it, I would not have had the experience of solving it myself. I think that experience was, at least in part, contributed to my better than average abilities in math, and in figuring things out in general. -------------- It's not about getting the answers.
 Equations/470714: "d= r x t" for "r"1 solutions Answer 322902 by Alan3354(30993)   on 2011-07-15 18:02:49 (Show Source): You can put this solution on YOUR website!"d= r x t" for "r" -------------- Use the asterisk for multiply, x is often used as a variable. d = r*t or d = rt --------------- d = rt Divide by t r = d/t rate = distance/time, eg, miles/hr, or km/hr, or meters/sec