Algebra ->  Tutoring on algebra.com -> See tutors' answers!      Log On

 Tutoring Home For Students Tools for Tutors Our Tutors Register Recently Solved
 By Tutor
| By Problem Number |

Tutor:

# Recent problems solved by 'venugopalramana'

Jump to solutions: 0..29 , 30..59 , 60..89 , 90..119 , 120..149 , 150..179 , 180..209 , 210..239 , 240..269 , 270..299 , 300..329 , 330..359 , 360..389 , 390..419 , 420..449 , 450..479 , 480..509 , 510..539 , 540..569 , 570..599 , 600..629 , 630..659 , 660..689 , 690..719 , 720..749 , 750..779 , 780..809 , 810..839 , 840..869 , 870..899 , 900..929 , 930..959 , 960..989 , 990..1019 , 1020..1049 , 1050..1079 , 1080..1109 , 1110..1139 , 1140..1169 , 1170..1199 , 1200..1229 , 1230..1259 , 1260..1289 , 1290..1319 , 1320..1349 , 1350..1379 , 1380..1409 , 1410..1439 , 1440..1469 , 1470..1499 , 1500..1529 , 1530..1559 , 1560..1589 , 1590..1619 , 1620..1649 , 1650..1679 , 1680..1709 , 1710..1739 , 1740..1769 , 1770..1799 , 1800..1829 , 1830..1859 , 1860..1889 , 1890..1919 , 1920..1949 , 1950..1979 , 1980..2009 , 2010..2039 , 2040..2069 , 2070..2099 , 2100..2129 , 2130..2159 , 2160..2189 , 2190..2219 , 2220..2249 , 2250..2279 , 2280..2309 , 2310..2339 , 2340..2369 , 2370..2399 , 2400..2429 , 2430..2459 , 2460..2489 , 2490..2519 , 2520..2549 , 2550..2579 , 2580..2609 , 2610..2639 , 2640..2669 , 2670..2699 , 2700..2729 , 2730..2759 , 2760..2789 , 2790..2819 , 2820..2849 , 2850..2879 , 2880..2909 , 2910..2939 , 2940..2969 , 2970..2999 , 3000..3029 , 3030..3059 , 3060..3089 , 3090..3119 , 3120..3149 , 3150..3179 , 3180..3209 , 3210..3239 , 3240..3269 , 3270..3299, >>Next

 Equations/17516: IF N= -3 AND X =(N_5), WHAT IS THE VALUE OF X?1 solutions Answer 8432 by venugopalramana(3286)   on 2005-10-28 03:32:58 (Show Source): You can put this solution on YOUR website!IF N= -3 AND X =(N_5), WHAT IS THE VALUE OF X? it is assumed that X =(N_5), is a typing mistake and it really means N-5.. we have to put N=-3 in the the given equation for X=N-5=-3-5=-8
 Polynomials-and-rational-expressions/17517: Okay, I'm totally confused and I've been working on this for over an hour, please help... Evaluate the following polynomial: f(x) = 3x^2-x+7, f(1) Step-by-step help would be greatly appreciated...thanks in advance1 solutions Answer 8431 by venugopalramana(3286)   on 2005-10-28 03:27:55 (Show Source): You can put this solution on YOUR website! f(x) = 3x^2-x+7, f(1) f(x) on the left hand side of equal to means function of x where x is an independent variable which can take different values and the f(x) given on the right hand side of equal to(a polynomial in x in this case),depends on the x value chosen in that we have to simply substitute the value chosen for x in the f(x),wherever x occurs.so f(a) means ,put a in place of x wherever x occurs in the right hand side. hence to find f(1),we have to substitute 1 in place of x on the rhs of equation describing f(x) f(1)=3*1^2-1+7=3*1-1+7=3-1+7=9
 Complex_Numbers/17381: SUPPOSE YOU ADD A POLYNOMIAL OF DEGREE m TO A POLYNOMIAL OF DEGREE n WHERE m>n. THEN THE RESULT IS A POLYNOMIAL OF DEGREE _____? 1 solutions Answer 8391 by venugopalramana(3286)   on 2005-10-27 12:11:56 (Show Source): You can put this solution on YOUR website!the degree of a polynomial is the value of the highest power in the polynomial.when you add a polynomial of degree m to a polynomial of degree n ,with m>n , the highest power is still m only.so the degree of resultant polynomial is m
 Complex_Numbers/17380: 32. The obelisk in the movie 2001 has the shape of a rectangular box with lengths x, 4x, and 9x, where x is a parameter. The volume V of the obelisk is a polynomial expression in x of degree __ and __leading coefficient . In fact, V=___(enter an expression in x ). 1 solutions Answer 8390 by venugopalramana(3286)   on 2005-10-27 12:09:25 (Show Source): You can put this solution on YOUR website! SEE THE EXAMPLE BELOW -------------------------------------------------------------------------------- Answer 8366 by venugopalramana(134) on 2005-10-27 01:12:07 (Show Source): length=x,width= 4x, and height=9x are the 3 sides of the rectangular box volume = length *width*height=x*4x*9x=36x^3..so degree is 3 and the leading coefficient is 36 and the formula is volume=36x^3
 Complex_Numbers/17379: Suppose you add a polynomail of degree m from a polynomial of degree n where m>n. The results is a polynomial of degree ___.1 solutions Answer 8389 by venugopalramana(3286)   on 2005-10-27 12:06:06 (Show Source): You can put this solution on YOUR website!the degree of a polynomial is the value of the highest power in the polynomial.when you add a polynomial of degree m to a polynomial of degree n ,with m>n , the highest power is still m only.so the degree of resultant polynomial is m
 Numbers_Word_Problems/17376: the product of two consecutive positive even integers is twelve more than three times the smaller integers find the integers. plus the base of a triangle is 2cm less than four times the height. the area of thr triangle is 45 sq cm. find the height and the length of the base of the triangle.1 solutions Answer 8388 by venugopalramana(3286)   on 2005-10-27 12:02:23 (Show Source): You can put this solution on YOUR website!the product of two consecutive positive even integers is twelve more than three times the smaller integers find the integers. let the smaller even number be 2n and next even number is 2n+2.. their product=2n(2n+2)=4n^2+4n..this is equal to ... three times smaller integer+12=3*2n+12=6n+12..hence 4n^2+4n=6n+12 4n^2-2n-12=0 2n^2-n-6=0 2n^2-4n+3n-6=0 2n(n-2)+3(n-2)=0 (n-2)(2n+3)=0 hence n=2 is the smaller integer and 4 is the next integer.... plus the base of a triangle is 2cm less than four times the height. the area of thr triangle is 45 sq cm. find the height and the length of the base of the triangle. area of a triangle=(1/2)*base*height let the height be h..four times the height =4h...less 2 cm =4h-2 ..this is equal to base =b hence b=4h-2 area=45=(1/2)(4h-2)h=(2h-1)h=2h^2-h 2h^2-h-45=0 2h^2-10h+9h-45=0 2h(h-5)+9(h-5)=0 (h-5)(2h+9)=0.. hence h=5 base 4h-2=4*5-2=18
 Graphs/17292: Write the equation in slope-intercept form. a.)8x-4y=16 b.)x-y=-2 c.)-x+3y=-91 solutions Answer 8381 by venugopalramana(3286)   on 2005-10-27 06:32:55 (Show Source): You can put this solution on YOUR website!a.)8x-4y=16 slope intercept form of a st.line is Y=mX+c..so rewrite the eqn.as required.. 8x-16=4y 4y=8x-16 y=(8/4)x-(16/4) y=2x-4..which is in the slope intercept form..with slope-m=2 and intercept=c=-4 NOW YOU CAN DO THE OTHER PROBLEMS IN THE SAME WAY.
 Complex_Numbers/17306: can you please help me with this problem {3a+b+c=7 { a+3b-c=13 { b=2a-11 solutions Answer 8380 by venugopalramana(3286)   on 2005-10-27 06:26:46 (Show Source): You can put this solution on YOUR website!3a+b+c=7..........(1) a+3b-c=13........(2) b=2a-1..........(3)...substituting value of b from eqn.(3) in eqns.(1)and(2) we get...3a+2a-1+c=7...or...5a+c=7+1=8..............(4) a+3*(2a-1)-c=13...or...a+6a-3-c=13...or...7a-c=13+3=16.........(5) eqn.(4)+eqn.(5)...12a=8+16=24..or..a=24/12=2....substituting in (3)..we get b=2*2-1=3...substituting in (4)we get..5*2+c=8..or..c=8-10=-2.. so a=2;b=3;c=-2.
 Linear-equations/17353: PLEASE HELP ME SOLVE THIS EQUATION!!! 4(2x-3)-3(3x-10)=11 Thankyou =)1 solutions Answer 8379 by venugopalramana(3286)   on 2005-10-27 06:15:50 (Show Source): You can put this solution on YOUR website!4(2x-3)-3(3x-10)=11 8x-12-9x+30=11 -x=11+12-30=-7 x=-7/-1=7 x=7
 Numeric_Fractions/17355: x/3 + x/4 = 14 hope you can help me solve this1 solutions Answer 8378 by venugopalramana(3286)   on 2005-10-27 06:12:20 (Show Source): You can put this solution on YOUR website!x/3 + x/4 = 14 x(1/3+1/4)=14 x((4+3)/12)=14 x(7/12)=14 x=14*12/7=24 x=24
 Complex_Numbers/17310: {9x-y-2z=18 {5x-2y+z=10 {4x+y-3z=8 please help me with this1 solutions Answer 8377 by venugopalramana(3286)   on 2005-10-27 06:04:25 (Show Source): You can put this solution on YOUR website!9x-y-2z=18...........(1) 5x-2y+z=10...........(2) 4x+y-3z=8 ...........(3) ....we find that eqn(2)+eqn(3)gives us 9x-y-2z=18 which is same as (1)..so they are not independent equations .they are dependent equations and consistent in the sense that there are no contradictions.hence we get infinite solution for such a set of equations.we can give any value we like for one variable and solve the rest with that..say let us take x=0...so we get -y-2z=18..........from (1) y-3z=8.............from(3) adding the above -5z=26..or...z=-26/5..substituting... -y-2*(-26/5)=18 -y=18-52/5=(90-52)/5 = 38/5..or y=-38/5....so one solution set is x=0;y=-38/5;and z=-26/5 like this we can get any number of solution sets by giving different vaslues to one variable and solving for the rest
 Linear-equations/17352: Hi i'm having a problem with this question 3(x+2)-2(3x-5)=10 hope you can help me out1 solutions Answer 8376 by venugopalramana(3286)   on 2005-10-27 05:43:52 (Show Source): You can put this solution on YOUR website!3(x+2)-2(3x-5)=10 3x+6-6x+10=10 -3x=10-10-6=-6 x=-6/-3=2
 Linear-systems/17313: Write a system of equations that has (2, 7.5) as its solution.1 solutions Answer 8375 by venugopalramana(3286)   on 2005-10-27 05:36:32 (Show Source): You can put this solution on YOUR website!we need a system of eqns.,that has 2,7.5 as its solution.there are 2 solutions,hence we need to have 2 variables..let them be x and y let us find their sum =x+y=2+7.5=9.5 let us find their difference=x-y=2-7.5=-5.5 hence the required system of eqns.are x+y=9.5 and x-y = -5.5
 Complex_Numbers/17328: what is the leading coefficient for p(x)=(x+2)^171 solutions Answer 8374 by venugopalramana(3286)   on 2005-10-27 05:05:10 (Show Source): You can put this solution on YOUR website!what is the leading coefficient for p(x)=(x+2)^17.. if you mean by leading coefficient the coefficient of highest power of x , then notice that p(x)=(x+2)^17=(x+2)(x+2)(x+2).....17 times the highest power of x is obviously got by multiplying x by x repeatedly taking one x from each factor ..so we get x*x*x*.....17 times =x^17...its coeffiocient is 1 and the term is 1x^17
 Linear-equations/17348: Hi can you help me solve this please? 5(x+3)=7x+5 hope you can help1 solutions Answer 8373 by venugopalramana(3286)   on 2005-10-27 04:59:33 (Show Source): You can put this solution on YOUR website!SEE THE FOLLOWING EXAMPLE AND DO IT IN A SIMILAR WAY SOLVE 3(2x-1)=5(3x-15) 3*2x-3*1=5*3x-5*15 6x-3=15x-75 15x-75=6x-3 15x-6x=-3+75 9x=72 x=72/9=8
 Linear-equations/17349: Hi can you help me solve this equation? 3(2x-1)=5(3x-15) hope you can help1 solutions Answer 8372 by venugopalramana(3286)   on 2005-10-27 04:57:58 (Show Source): You can put this solution on YOUR website!3(2x-1)=5(3x-15) 3*2x-3*1=5*3x-5*15 6x-3=15x-75 15x-75=6x-3 15x-6x=-3+75 9x=72 x=72/9=8
 logarithm/17350: How do you solve this problem? I can't figure out how to put it into the calculator. The problem is 10 to the -5 power =0.00001. can I have some help solving this problem.1 solutions Answer 8371 by venugopalramana(3286)   on 2005-10-27 04:54:23 (Show Source): You can put this solution on YOUR website!10 to the -5 power =0.00001 use the formula x^(-a)=1/x^a...we get 10^(-5) = 1/10^5=1/(10*10*10*10*10)=0.00001
 Linear-equations/17266: the line y=3/5x + 1/4 intersects the line y=-1/8x + r at the point (-1/2,-1/20) for what value of r?1 solutions Answer 8370 by venugopalramana(3286)   on 2005-10-27 04:50:30 (Show Source): You can put this solution on YOUR website!y=3/5x + 1/4 intersects the line y=-1/8x + r at the point (-1/2,-1/20) the intersection point -(1/2,-1/20) lies on both the lines.hence y=-1/8 x + r should be satisfied by (-1/2,-1/20)..substituting -1/20=(-1/8)*(-1/2)+r r=-1/20-(1/16) = -[(4+5)/80]=-9/80
 Quadratic_Equations/17346: given g(x)= -2x^2-8x+12.......what are the solutuions for g(x)=0, and g(x)<0.1 solutions Answer 8369 by venugopalramana(3286)   on 2005-10-27 02:52:53 (Show Source): You can put this solution on YOUR website!g(x)= -2x^2-8x+12 =0 or less than zero first solve g(x)=0 using = are the 2 solutions in the case when g(x)=0 For the case g(x)<0 we have g(x)= [x-(-2+10^0.5)][x-(-2-10^0.5)]<0..product of 2 factors will be negative if one of the 2 is negative and the other positive hence g(x)<0 if x lies between (-2+) and (-2-)
 Inequalities/17345: What is (i)^42.....is it (-1)?1 solutions Answer 8368 by venugopalramana(3286)   on 2005-10-27 02:04:43 (Show Source): You can put this solution on YOUR website!i)^42.....is it (-1)? we know that i=i i^2=-1 i^3=i^2*i=-1*i=-i i^4=(i^2)^2=1...etc so we see that if the power is even number then the answer is 1 or -1 and if power is odd number then the answer is i or -i now in the problem i^42 we know that 42 is even number .so answer is 1 or -1 ..now to find whether it is +1 or -1 ..we have to find it is even number divisible by 4 or not. if it is divisible by 4 the answer is +1 other wise the answer is -1. here 42 is not divisible by 4 ..so the answer is -1