Questions on Algebra: Evaluation of expressions, parentheses answered by real tutors!

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Question 1043305: f(x)=x^2-6x+12
g(x)=k
In the equation above, f(x)>=g(x) for all real numbers x. If k is a constant, what is the maximum value of k?

Click here to see answer by josgarithmetic(39623) About Me 

Question 1043301: P=The average of a and b
Q=The average of b and c
R=The average of c and a
The various averages(arithmetic mean) of two of the three numbers a,b,and c are calculated and arranged as shown above. If P>Q>R which of the following is true?
A) a=b=c
B) a>b>c
C) c>b>a
D) b>a>c

Click here to see answer by Edwin McCravy(20060) About Me 
Question 1043301: P=The average of a and b
Q=The average of b and c
R=The average of c and a
The various averages(arithmetic mean) of two of the three numbers a,b,and c are calculated and arranged as shown above. If P>Q>R which of the following is true?
A) a=b=c
B) a>b>c
C) c>b>a
D) b>a>c

Click here to see answer by robertb(5830) About Me 

Question 1043294: If x^12=5000 and (x^11)/y=10, what is the value of xy?
Click here to see answer by MathTherapy(10555) About Me 

Question 1043341: a%5E2=4b%5E2
a=1+2b
In the system of equations above, what is the value of a?

Click here to see answer by t0hierry(194) About Me 
Question 1043341: a%5E2=4b%5E2
a=1+2b
In the system of equations above, what is the value of a?

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1043341: a%5E2=4b%5E2
a=1+2b
In the system of equations above, what is the value of a?

Click here to see answer by ikleyn(52831) About Me 

Question 1043374: http://i.imgur.com/GSOlmwX.jpg
In the figure above, O and P are the center of two semicircles of radius r. If the length of the perimeter is 8π+16, what is the value of r?

Click here to see answer by Boreal(15235) About Me 

Question 1043373: A carton contains k boxes of paper cups and each box contains 100 paper cups. If the carton cost d dollars. what is the cost per paper cup in cents?
A) kd
B) k/d
C) d/100k
D) 100k/d

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1043404: If the value of K^-5 is twice the value of 4k^-2. What is the value of k?
A) 1/4
B) 1/2
C) 2
D) 4

Click here to see answer by robertb(5830) About Me 

Question 1043410: http://i.imgur.com/GSOlmwX.jpg
In the figure above, O and P are the center of two semicircles of radius r. If the length of the perimeter is 8π+16, what is the value of r?
A) 2
B) 4
C) 6
D) 8

Click here to see answer by robertb(5830) About Me 

Question 1043450: If %281%2F%28x-1%29%29%2B%281%2F%282x-2%29%29=1%2F4, what is the value of x-1?
Click here to see answer by Boreal(15235) About Me 

Question 1043449: %28X%5E2%2B3%29%2F%28x-1%29
Which of the following is equivalent to the expression above?
A) x+1
B) x(x+1)+3
C) x%2B1%2B%284%2F%28x-1%29%29
D) x%2F%28x-1%29%2Bx

Click here to see answer by Boreal(15235) About Me 

Question 1043442: a rectangle is three times as long as it is wide. write an expression for the perimeter of the rectangle in terms of l, its length
Click here to see answer by stanbon(75887) About Me 

Question 1043526: Evaluate: 2c^2+b^3/3c when b = -3 and c = -2
Click here to see answer by ikleyn(52831) About Me 

Question 1043524: x+y>3
ax+2y<-2
In the system of inequalities, a is a constant. If the system has no solution, What is the value of a?
A) -2
B) -1
C) 1
D) 2

Click here to see answer by KMST(5328) About Me 

Question 1043530: If p%28x%29=2sqrt%28x-5%29%2B3x, what is the minimum value of P?
Click here to see answer by ikleyn(52831) About Me 

Question 1043533: f%28x%29=2x%5E2-16x%2B18+
If f%28x%29=a%28x%2Bb%29%5E2%2Bcis equivalent to the function above, what is the value of c for f(x)?
A) -48 B) -14 C) 2 D) 50

Click here to see answer by rothauserc(4718) About Me 

Question 1043535: P=%28%2850n-200%29%2Fn%29%2Bk
The profit P from a car wash is modeled by the equation above, where n is the number of cars and k is a constant. Which of the following expressions represents n?
A)n=%28200%2Bk%29%2F%2850-p%29
B)n=%28200-k%29%2F%2850%2Bk%29
C)n=200%2F%2850%2Bk-p%29
D)n=200%2F%28k%2Bp-50%29

Click here to see answer by rothauserc(4718) About Me 

Question 1043537: p(x)=3x^3+ax-2
In the function above, a is a constant.If the remainder when P(x) is divided by x +1 is 2, what is the value of a?
A) -7
B) -5
C) 5
D) 7

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1043532: The Sky Telephone Company charges "a" cents for the first 3 minutes of a call and charges at the rate of r cents for each additional minute. If Jackson uses t minutes, where t>3, how much, in dollars, is his call?
A) a+rt
B) a+r(t-3)
C) 0.01(a+r(t-3))
D) 0.01(a+rt-3)

Click here to see answer by josmiceli(19441) About Me 

Question 1043622: %28a%28x%2B1%29%2Bb%28x-1%29%29%2F%28x-2%29=2%2B%281%2F%28x-2%29%29
The equation above is true for all values of x≠2, where a and b are constats. What is the value of a?
A) -1/2
B) 2
C) 3
D) 4

Click here to see answer by jim_thompson5910(35256) About Me 
Question 1043622: %28a%28x%2B1%29%2Bb%28x-1%29%29%2F%28x-2%29=2%2B%281%2F%28x-2%29%29
The equation above is true for all values of x≠2, where a and b are constats. What is the value of a?
A) -1/2
B) 2
C) 3
D) 4

Click here to see answer by rothauserc(4718) About Me 

Question 1043620: If k=%28%28x%2B1%29%28x-1%29%29%2F3 and k=0, what does 3x%5E2 equal in terms of k?
A) 3k
B) 9k
C) 3k+1
D) 9k+3

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1043635: Mr. Lee brought reading books to his class. If each student takes 5 books. there will be 15 books left. If 5 students do not take a book and the rest of the students take 7 books each, there will be no books left. How many books were brought to the class?
A) 140 B) 125 C) 120 D) 104

Click here to see answer by Boreal(15235) About Me 
Question 1043635: Mr. Lee brought reading books to his class. If each student takes 5 books. there will be 15 books left. If 5 students do not take a book and the rest of the students take 7 books each, there will be no books left. How many books were brought to the class?
A) 140 B) 125 C) 120 D) 104

Click here to see answer by zjjc123(1) About Me 

Question 1043634: The sum of four numbers is 783. One of the numbers a, is 25% more than the sum of the other three numbers. What is the value of a?
A) 348
B) 435
C) 520
D) 585

Click here to see answer by Boreal(15235) About Me 

Question 1043633: A cylinder was altered by increasing the radius its circle base by 10 percent and decreasing its height by k percent. If the volume of the resulting cylinder is 8.9% greater than the volume of the original cylinder. what is the value of k?
A) 8.9
B) 10
C) 12
D) 15

Click here to see answer by Boreal(15235) About Me 

Question 1043631: Emily is walking a trail. After walking k percent of the length of the trail. she has 10 km left to go. Which of the following represents the length of the trail?
A) 10(100-k)
B) (100-k)/10
C) (10k)/(100-k)
D) 1000/(100-k)

Click here to see answer by KMST(5328) About Me 
Question 1043631: Emily is walking a trail. After walking k percent of the length of the trail. she has 10 km left to go. Which of the following represents the length of the trail?
A) 10(100-k)
B) (100-k)/10
C) (10k)/(100-k)
D) 1000/(100-k)

Click here to see answer by Boreal(15235) About Me 

Question 1043640: (a-2)x+(b+2)y=8
bx+ay=4
In the system of equations above a and b are constants. If the system has infinitely many solutions, what is the value of a ?
A) -4/3
B) -2/3
C) 2/3
D) 4/3

Click here to see answer by ikleyn(52831) About Me 

Question 1043716: Explain how multiplying the edge length of a cube by a number n affects the volume of the cube. Justify your explanation.
(This question does not include any numbers.)

Click here to see answer by josgarithmetic(39623) About Me 

Question 1043743: http://i.imgur.com/XGZpcvN.jpg In the figure above. AB=12. AC=15. and CD=6. Both AB and CD are perpendicular to AC. If the area of triangle ABE is p and the area of triangle CDE is q, then what is the value of p-q?
Click here to see answer by rothauserc(4718) About Me 

Question 1043833: q= 5n + 5u solve for in
Click here to see answer by Boreal(15235) About Me 

Question 1043742: The state income tax where Alison lives is levied at the rate of k% of the first $30.000 of annual income plus(k+4)% of any amount above $30,000. This year Alison's income was $65.000 and she paid $9,850 for the income tax. What is the value of k?
Click here to see answer by Boreal(15235) About Me 

Question 1043841: If 2 is subtracted from each of the digits of 7052, then the resulting number is
A) 2 less than 7052
B) 50 less than 7052
C) 2222 less than 7052
D) 7000 less than 7052
E) 7050 less than 7052

Click here to see answer by josmiceli(19441) About Me 

Question 1043842: If 2xy=0 and x/2 = 3/4, which of the following must be true?
1. 2y=-3
2. x=-12y
3. 2x=3
A) none
B) 1. only
C) 2. only
D) 3. only
E) 1. and 2. only

Click here to see answer by stanbon(75887) About Me 

Question 1043861: I am a three-digit number.If you double me,I will be a three-number.

Click here to see answer by josgarithmetic(39623) About Me 

Question 1043632: The state income tax where Alison lives is levied at the rate of k% of the first $30.000 of annual income plus(k+4)% of any amount above $30,000. This year Alison's income was $65.000 and she paid $9,850 for the income tax. What is the value of k?
Click here to see answer by advanced_Learner(501) About Me 

Question 1043906: Evaluate the expression when y =6
5y

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1043915: Find the angle of inclination of 3x+4y-7=0
Click here to see answer by Alan3354(69443) About Me 

Question 1043919: A cylindrical vessel has a base-radius of 10cm. It contains water to a depth of 12cm. A metal pipe whose inner and outer radii are 4cm and 6cm respectively rests vertically on the base of the vessel. LLet h the final height of the water level as in the picture, make an equation and find h. Hence, find the rise in the water level.
I really don't get what the question is asking for! If they give us the height/depth at the beginning, isn't it the same at the end? What rise???

Click here to see answer by ikleyn(52831) About Me 

Question 1044028: I would like some help with this problem, please explain fully how you got the answer and what kind (if any) rules or theories followed.
What value completes the blank for the expression. x^2-6x+_____
36, 12, 9, 3

Click here to see answer by Boreal(15235) About Me 

Question 1044122: Identify the factors of the terms of the expression: 13m-2n
Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 1044202: An integer is prime if it is greater than one and is divisible by no positive integers other than one or itself. The sum of the prime divisors of 2001 is:
A) 55
B) 56
C) 670
D) 671
E) 2001

Click here to see answer by robertb(5830) About Me 

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