Questions on Algebra: Equations answered by real tutors!

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Question 189557: Use synthetic division to determine f(i) if f(x)=x^3+2x^2-4
any help would be appreciated, thank you!
oh by the way here are the choices to choose from:
A.-5-2i
B.-5+2i
C.-6+i
D.-6-i

Click here to see answer by jim_thompson5910(28598) About Me 

Question 189559: Give f(x)=3x^2+4x-1 and g(x)=x+3 simplify the expression when possible
f(-3)
(g degree sign f)(-1/2)
here are the choices:
a. 111/4
b.-9/4
c.-3/2
d.3/4
any help would be appreciated thanks so much!

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Question 189558: Use synthetic division to determine f(-3) if f(x)=4x^3-3x^2-5x+9
any help would be appreciated!!
here are the choices:
A.-111
B.75
C.9
D.-36
thanks again

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Question 189602: Solve the equation.
30 over x^2-9 = 2 over x-3.
I worked it out to: x=12 or x=3
x=3 is extraneous
Am I correct?

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Question 189678: Could someone help me with the following problem?
Problem : A quadratic funtion has its vertex at the point of (0,-5). The function passes throuhg the point (-5,2). When written in vertex form the function is f(x)=a(x-h)^2+k. Where a = ? , h=?, and k=?
Ok, I figured out what h and k are ( h = 0 , and k = -5) but I dont know how to get a.. could someone help me.

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Question 189698: Can someone please help with this. i am so lost. Thank You
1.Explain the difference between a constant and a variable. (ii) Explain the difference between a constant term and a coefficient. (iii) Explain the difference between a term and a factor. Use examples to support your explanations.

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Question 189699: Please help! I need to show examples too.
1.When translating an application problem into an algebraic equation, what words can help distinguish between coefficients and constant terms? How do you decide what each variable should represent? What are some other important words or phrases to look for?
Thank You!

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Question 189722: y=3x+8
m=

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Question 189797: Could you please help me write an equation and graph it for this problem, then maybe I can figure out the rest of the problems?
m=2 ( 7 , 6 )

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Question 189797: Could you please help me write an equation and graph it for this problem, then maybe I can figure out the rest of the problems?
m=2 ( 7 , 6 )

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Question 189850: The area of a circle is 16pi Square feet. Find the radius of the circle.
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Question 189850: The area of a circle is 16pi Square feet. Find the radius of the circle.
Click here to see answer by nerdybill(6963) About Me 
Question 189850: The area of a circle is 16pi Square feet. Find the radius of the circle.
Click here to see answer by solver91311(16897) About Me 

Question 189933: Hello.
Use completing the square to solve each equation:
x^2 - 4x + 30 = 0
thanks!

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Question 189935: Hello.
Find all x that will make f(x)= 0
f(x)= x^2 + 2x - 4
thanks!

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Question 189935: Hello.
Find all x that will make f(x)= 0
f(x)= x^2 + 2x - 4
thanks!

Click here to see answer by stanbon(57412) About Me 

Question 189934: Hello.
Use completing the square to solve each equation:
-2 = 2x^2 - 5x
thanks!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 189903: I need help figuring out how to get "X" to one side. 2X/3=8+4X
Click here to see answer by edjones(7569) About Me 

Question 189960: Write the equation of the circle that has a diameter whose endpoints are located at (-2,-1) and (4,-1).
Click here to see answer by jojo14344(1512) About Me 

Question 190070: How do i solve 10x-5y-10x-3y i know i have to group the xs and the ys so that gives me 10x-10x-5y-3y whats next?
Click here to see answer by stanbon(57412) About Me 

Question 190038: c over 4 + 10 = 22
Click here to see answer by feliz1965(151) About Me 

Question 190115: Hello.
I'm checking to see if I did this problem correctly using the quadratic formula
y^2 - 18y = -81
thanks!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 190119: Hi!
Solve each formula for the indicated variable.
A = 2(pi)^2 + 2(pi)hr. for r

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Question 190172: 2x+3x^2=50
Click here to see answer by Mathtut(3670) About Me 

Question 190246: I am supposed make sure that I simplify the expression before I identify the variables, coefficients, and constant terms.
1.Simplify the algebraic expression 3x^2 – 2y + 7x^2 – 5y + 3 and evaluate it at x = 2 and y = 14. Identify the variables, coefficients, and constant terms in the simplified expression. Please help I am sooo lost. Thanks

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Question 190296: Hi.
I need some help reducing this rational expression completely:
n^3 - 1/n^2 - 1
thanks!

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Question 190303: Hi!
I need some help in performing this indicated operation and simplifying it:
(a + 1)/2 - (a - 1)/2
thanks!

Click here to see answer by Mathtut(3670) About Me 

Question 190302: hi.
i need some help in performing this indicated operation and simplifying it:
a^2 - a - 20/a^2 - 16 divided by a-5
thanks!

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Question 190326: The sum of three consecutive odd numbers is 99; what are the numbers?
Translate the following problem into algebraic equations. It is not required that you solve the equations; simply translate them. Identify the variables, constant terms, and coefficients in each equation. You must state the definition of each variable used in the expression or equation. Thank You.

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Question 190325: What number is 12% of 85?
Translate the following problem into algebraic equations. It is not required that you solve the equations; simply translate them. Identify the variables, constant terms, and coefficients in each equation. You must state the definition of each variable used in the expression or equation. Thank you!

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Question 190299: hi.
i need some help in performing this indicated operation and simplifying it:
27a^k - 9a^k+2 + 15a^k+4/3a^k
thanks!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 190421: Ok, I am having problems finding the y-intercept in the following problem:
For the function y= (x-5)(x+3)(8x-2), its y-intercept is y= ?
its x-intercepts are x= 5,-3,and (1/4)
Could someone help me and explain how to find the y-intercept?

Click here to see answer by stanbon(57412) About Me 
Question 190421: Ok, I am having problems finding the y-intercept in the following problem:
For the function y= (x-5)(x+3)(8x-2), its y-intercept is y= ?
its x-intercepts are x= 5,-3,and (1/4)
Could someone help me and explain how to find the y-intercept?

Click here to see answer by Alan3354(30993) About Me 

Question 190427: Hello.
Hey, I'm needing some help checking this problem for an exam review:
Perform the indicated operations and simplify. Rationalize denominators as needed.
[sqrt(x) + sqrt(y)]^2
thanks!

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Question 190476: Sandy has $3.25 in change. She has five more dimes than quarters but twice as many nickels as dimes. Express the given information as an algebraic equation and simplify each side of the equation. [You are not required to solve the problem.] You must name the variable used in the equation.
Thank You!

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Question 190475: If P = 2y – 6xy – 3x and Q = 4 – 5y, find 2P – 3Q and simplify the answer.
I am sooo Lost! Thank You.

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Question 190483: Mel's nephew owns a triangular plot of land. The perimeter fence that surrounds the land measures 121 feet. The shortest side is 15 feet longer than one-half of the longest side. The second longest side is 4 feet shorter than the longest side. What is the length of each side? Express the given information as an algebraic equation and then solve the equation. You must name the variable used in the equation.
Thank You!

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Question 190441: 4x = 3x
I don't know how to set this up.

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Question 190474: A woman buys three board games for $107.10, including tax. If each board game costs $34, what is the sales tax rate? Express the problem as an equation whose solution is the sales tax rate and then solve the equation.
Thank You!

Click here to see answer by Mathtut(3670) About Me 

Question 190424: Hey, I'm needing some help checking this problem for an exam review:
Solve the equation:
(5/a) - (7)/(a+1) = (a^2 - 2a + 4)/(a^2 + a)
thanks!

Click here to see answer by jim_thompson5910(28598) About Me 

Question 190454: Hello.
I need some help seeing if I solved this equation correctly:
(5)/(a) - (7)/(a+1) = (a^2 - 2a + 4)/(a^2 + a)

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Question 190498: Two joggers start at the same time from opposite end of an 8-mile jogging trail and begin running toward each other. One jogger is running at a rate of 5mph, and the other jogger is running at a rate of 7mph. How long, in minutes, after they start will the two joggers meet?
Click here to see answer by nerdybill(6963) About Me 

Question 190587: #13 i have tired ti figure this out but I do not know where to start
The questions asked
A discount store sold plastic cups for 3.50 and each ceramic cups for 4 dollars each. If 400 cups were sold for a total of $1,458, how many cups of each type were sold ? what is the dollar value of each type of cup sold







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Question 190593: Select an irrational number and another number such that the sum, difference, product, or quotient of the two numbers is a rational number.
I am very lost. Thanks

Click here to see answer by jim_thompson5910(28598) About Me 

Question 190453: Hi.
Perform the indicated operations and simplify:
2/n+2 + 1/n + n+6/n^2+2n

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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, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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