Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 200490: Hi everyone, I would like some help with the following question.
I need to solve the following quadratic expression:
x^2 - 5x - 14 = 0
If someone could show me how and explain with steps that would be great.
Thanks, -Nick.

Click here to see answer by jim_thompson5910(28510) About Me 

Question 200483: the difference between two positive numbers is 4. If twice the square of the larger number is added to three times the smaller, the sum is 53. solve. please help. thank you
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Question 200417: in canada, medicine and cranbrook are 300Km apart. Harry rides 20 Km per hr faster than yoshi rides his yamaha. find harry's average speed if he travels from cranbrook to medicine hat in 1.1/4 less time than yoshi.
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Question 200640: Is it possible for a rectangle with a perimeter of 68cm to have an area of 132cmsquare...?using the discriminent formula of bsquare-4ac?
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Question 200398: Analytic Geometry
13. On a street map, the coordinates of the two fire stations in a town are A(10, 63) and B(87, 30). A neighbor reports smoke coming from the kitchen of a house at C(41, 18).
a) Whic fire station is closer to this house?
Can you please help me with this question? Thanks>>

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Question 200469: (x-a)(x-b)
8 ,1
2, 2

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Question 200600: Find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application.
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Question 200737: I need help with this. I am thoroughly confused as to what is being asked:
Evaluate the functions for the values of x given as 1,2,4,8, and 16. Rank in order from fastest to slowest the rate at which each function changes with increasing values of x.
a) f(x)=2x-5
b) f(x)=x^2-4x+3
c) f(x)=x^3+4x^2-2x-3
d) f(x)=7^x
e) f(x)=log x

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Question 200465: Quadratic equation: Why do you think the discriminant works.
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Question 200758: x^2-36=0
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Question 200758: x^2-36=0
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Question 200756: 2h^2-h-3=0
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Question 200779: 7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height in feet.
a) If a rock is thrown upward with an initial velocity of 64 feet per second from the top of a 25-foot building, write the height (s) equation using this information.
Typing hint: Type t-squared as t^2
Answer:
b) How high is the rock after 1 second?
Answer:
Show your work here:

c) After how many seconds will the graph reach maximum height?
Answer:
Show your work here:

d) What is the maximum height?
Answer:
Show your work here:

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Question 200795: 3. A rectangular garden with an area of 96m^2 is 4m longer than it is wide. Find its dimensions. (Label the diagram. Solve using a quadratic eqaution!)
Thank you very much!!!!

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Question 200795: 3. A rectangular garden with an area of 96m^2 is 4m longer than it is wide. Find its dimensions. (Label the diagram. Solve using a quadratic eqaution!)
Thank you very much!!!!

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Question 200796: Trigonometry
4. A building stands 12 metres away from the balcony of Devon's apartment. From his balcony, the angle of elevation to the top of the building is 65 degrees, and the angle of depression to the bottom of the building is 40 degrees. How tall is the building?
Thanks!!!!

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Question 200858: Throwing a wrench. An angry construction worker throws
his wrench downward from a height of 128 feet with an
initial velocity of 32 feet per second. The height of the
wrench above the ground after t seconds is given
by S(t) = -16t2 - 32t + 128.
a) What is the height of the wrench after 1 second?
b) How long does it take for the wrench to reach the
ground?

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Question 200863: 1. Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour, and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

Tickets= -0.2x^2+12x+11
a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes?
c. Use the quadratic equation to determine the last day that tickets will be sold. (Note: Write your answer in terms of the number of days after ticket sales begin.)

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

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Question 200869: a(a+1)-3(a+1)=a+1
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Question 200881: Find a quadratic funtion in the form y=ax^2+bx+c That passes through the points (-3,-13),(-1,-1),(2,32)
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Question 200931: a second order equation in the form of y = ax^2 + bx + c . given and x value how would i determine a,b,and c respectively
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Question 200884: find the quadratic function in the the form y=ax^2+bx+c that passes through the points (1,254),(3,316),(4,249) thanks for the help!
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Question 200964: solve using the quadratic formula
9x -2 = 3x^2

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Question 200962: solve for the roots of each equation using the factoring method
14x^2 +29x + 12=0

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Question 200961: solve for roots of each equation using the factoring method
60x^2 +14x=9x^2 -20x

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Question 200963: solve using the quadratic formula
2/3 x^2 - x = 5/2

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Question 200980: -5•4=

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Question 201038: Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben $1.80 to make. If he sells the toys for $3.00 each, how many will he have to sell to make a profit of exactly $36.00 ?
A. 12
B. 20
C. 30
D. 60
E. 108

Plaese help.
My answer C

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Question 201168: Find the maximum or minimum value of f(x)= -3x^2 +4x-1
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Question 201168: Find the maximum or minimum value of f(x)= -3x^2 +4x-1
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Question 201201: Solve by the square-root property.
(x - 2)2 = 36

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Question 201192: Hello, I need to find a quadratic function in the form Y=ax^2+bx+c that passes through the points (1,359),(3,281),(4,194) and evaluate that function at x=5? Thanks for the help!
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Question 201231: x intercepts of f(x)=7x+x(x-5)
The first question was to solve 7x+x(x-5)=0 and I found x=(0,-2), the next question was to find the x intercepts of f(x)=7x+x(x-5), and I am getting confused! Help! Thanks!

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Question 201306: Could someone help me solve for x: 2x/x+4-1/x-3=0
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Question 201334: Please help. I'm not sure I have this done correctly.
3/-5-x - x/x-3=0

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Question 201334: Please help. I'm not sure I have this done correctly.
3/-5-x - x/x-3=0

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Question 201342: Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
A. $280.90
B. $287
C. $292.50
D. $306
E. $333.89
Can you show me how do this step by step please,I need to know how to this on my own..Please and thank you

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Question 201344: Employees of a discount appliance store receive an additional 20% off of the lowest price on an item. If an employee purchases a dishwasher during a 15% off sale, how much will he pay if the dishwasher originally cost $450?
A. $280.90
B. $287
C. $292.50
D. $306
E. $333.89
Can you show me how do this step by step please,I need to know how to this on my own..Please and thank you

Click here to see answer by rfer(12652) About Me 

Question 201343: if leah is 6 years older than Sue and JOhn is 5 years older then leah, and the total of their ages is 41. How old is Sue?
Can someone clarify this for me?Thank you

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Question 201438: I am having trouble trying to solve this problem. Can you please help
x^2-2x -13
I believe that sign represents power to the secong degree.

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Question 201512: An apartment owner wants to increase the monthly rent from the $250 in x increases of $10.
A. What is the new price after the x increase of $10?
B. If the number of apartments rented is 70-2x and the revenue is the number of apartments rented times the rent, what is the revenue?
C.If the owner wants to receive $17,980 per month, how many $10 increases can the owner make?
D. What will be the monthly rent?

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Question 201572: solve equation by completing the square
n^2+16n-97=-3

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Question 201614: How do you know if a quadratic equation will have one, two, or no solutions? How do you find a quadratic equation if you are only given the solution? Is it possible to have different quadratic equations with the same solution? Explain. Provide your classmate’s with one or two solutions with which they must create a quadratic equation
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Question 201620: Solve equation with quadratic formula
3n^2-15=-4n

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Question 201621: sketch the graph of the function
y=2x^2+4x+5

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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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