Answers created by KillerBunny

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• We have#f=X^3-5X^2+a,ainRR#.How to prove that #f# has at most a root in #ZZ#?
  
• We have#f=X^3-2X^2+2X+m,m inRR#.How to prove that #f# does not have all roots in #RR#?
  
• We have#f=X^3-2X^2+2X+m,m inRR#.How to prove that #f# does not have all roots in #RR#?
  
• We have #A(0,0) B(21,0), C(0,21)#.How to find number of points that have both coordinates integer numbers inside triangle #ABC#?
  
• How do you rationalize the denominator and simplify #(3sqrt9)/sqrt27#?
  
• How do you solve #2abs(4x - 6) - 8 = 12#?
  
• A committee of three is to be selected at random from five married couples.What is the probability that no two members of the committee are married to each other?
  
• How do you find the fourth partial sum of #Sigma 5(1/2)^i# from i=1 to #oo#?
  
• How do you prove this equality #sqrt(3+sqrt(3)+(10+6sqrt(3))^(2/3))=sqrt(3)+1# ?
  
• We have#f:{1,2,3}->{1,2}# and #g:{1,2,3}->{1,2,3,4}#.How many injective #f# and #g# funtions exist?
  
• How I resolve this limit?
  
• Are the given infinite geometric series below has a sum? If they do, how to find it? (1) 100 + 110 + 121 + ..... (2) 100 + 10 + 1 + ..... (3) 0.3 + 0.6 + 1.2 + .....
  
• How do you find the compositions given #f(x) = |x - 2#|, #g(x) = sqrtx#?
  
• How to write a formula for the nth term of the geometric sequence below and how to use that formula for #a_n# to find #a_8#, which is the 8th term of the sequence? (1) 4, -4, 4, -4, ..... (2) 16, 8, 4, .....
  
• Find the range of values of k for which #" "x^2 + (k+3)x +4k >3# for all real values of #x#?
  
• Cos (x+π/2)=sinx...but if this whole function is powered by even number what will be the answer?
  
• How do you solve #|7x - 15|<20#?
  
• Who's interested in a new Socratic on a different website?
  
• How do you find three consecutive even integers such that the sum of twice the first and third is 40?
  
• How do I find the limits of piecewise functions?
  
• Thoughts on the recent announcement made about the future of the Socratic website? Share them here!
  
• How do I use one sided derivatives to show that the function #f(x)=x^3 , x<=1# #f(x)=3x , x>1# is not differentiable at x=1?
  
• How do you solve #|x+2|+|x-2|=4#?
  
• What is the X intercept of Y + 12=3(x-9)? Substitute 0 for X or y? And solve for ??? X or y?
  
• A cylinder has a height of 7 cm and a diameter of 5 cm. What is the volume of the cylinder?
  
• How do you find #int(e^-x)/(1+e^-x)dx#?
  
• Does the series converge or diverge?
  
• Two fair dice are thrown,what is the probability of getting two odd numbers?
  
• 40% of the boys, 70% of the girls in a class attend a picnic and ratio of boys to girls in the class is 3:2 if the number on the picnic was 27. How many are there in the whole class?
  
• How do you solve the system using the elimination method for 9x - 6y = 12 and 3x - 2y = 20?
  
• A sequence is defined by the recursive formula f (n + 1) = f(n) – 2. If f(1) = 18, what is f(5)?
  
• The value of 'x' for which f(x)=|x| - |x+1| is discontinuos is ?
  
• How do you write a rule for the nth term 7,5,3,1,-1?
  
• Given the nth term for each arithmetic sequence, how to find the common difference and write out the first four terms here? (1) #a_n=2n+7# (2) #a_n=3n-2#
  
• How can I solve this limit? (1) lim x---->infinity (sin x) / x (2) lim x---->infinity ( cos x)/x
  
• In a certain isosceles right triangle, the altitude to the hypotenuse has length 4#sqrt(2)# . What is the area of the triangle?
  
• Please explain, this is a Linear transformation or not ?
  
• How do you graph and solve #|8n+4| > -4#?
  
• Find the value of k if f(x) has three distinct real roots ?
  
• The sum of two numbers is 72, and twice their difference is 24. What is the smaller of the two numbers?
  
• How do you solve #3( x - 3) - 7x = - 5#?
  
• How do you find domain and range for #y= x^2-2#?
  
• Show that the equation x^4 + 2x^2 − 2 = 0 has exactly one solution on [0, 1]?
  
• Find the equation of straight line having a gradient of -#1/t# and passing through the point(#t^2#,2t).(pls see details below). ?
  
• Find range of a function given the domain??
  
• What is the difference between set notation and interval notation?
  
• What is the domain and range of y=the square root of 2x-7? Thanks
  
• What is the scientific notation for 8 million?
  
• How do you find the domain of #f(x) = 3x + 1#?
  
• #m2+14m+33=#?
  
• Show that the set is a vector space in the field of real numbers?
  
• How do you simplify #52!#?
  
• The numbers x, y, and z are the first three terms of an arithmetic sequence. How do you express z in terms of x and y?
  
• In the sequence 1,2,2,4,4,4,4,8,8,8,8,8,8,8,8 where n consective terms have the value n, then 1025th term is?
  
• How do you graph # ln(x-2)#?
  
• How do you write the equation of the circle with diameter that has endpoints at (–4, –1) and (–8, –9)?
  
• How do I find the lower bound of a function?
  
• How do you write the standard form of the equation of the circle with center (0,0) R=6?
  
• How do you find the number of distinguishable permutations of the group of letters: A, L, G, E, B, R, A?
  
• Proving Trigonometric Identities?
  
• How do you solve #12<8+x#?
  
• Can a triangle have more than one obtuse angle?
  
• Draw the graphof leniar equation x+y=4?
  
• Lilly let her friend borrow 1/10 of the money in her purse to buy a snack. How do you write the fraction as a decimal?
  
• How do you solve #sqrtv = 2# and find any extraneous solutions?
  
• Any tips about the solution ??? using the Mathematical induction and thanks :)
  
• If x2-8x-1=0 then prove that x2+1/x2 ?
  
• If #A= <-5 ,-4 ,-7 ># and #B= <2 ,-9 ,8 >#, what is #A*B -||A|| ||B||#?
  
• Prove that if G is not equal to {e} and G has no proper non-trivial subgroup,then G is finite and o(G) is a prime number.?
  
• What is 20% of 46.60?
  
• Help plz ! we say that 1) #x\inuuu_(n\inN)A_n# if #x\inA_n# for some #n\inN# and 2)#x\innnn_(n\inN)A_n# if #x\inA_n# for all #n\inN# prove or dispprove #nnn_(n\inN)A_n\sube uuu_(n\inN)A_n# for any index set #N# ?
  
• What is Six more than half of a number x ?
  
• What is four times a number b which is 3 more than h ?
  
• Find the equation of the circle centered at (3,-4) and radius =5?
  
• How to show that #S_oo- S_n= (-1/3)^n# ,given, #S_oo=9/4# and #S_n=9/4(1-(-1/3)^n)#?
  
• How do you solve #y=2/7x+2, 6x-21y=-42#?
  
• How do you solve #(x+1)/3 = (2x-1)/4#?
  
• Jack usually mows his lawn in 5 hours. Marilyn can mow the same yard in 7 hours. How much time would it take for them to mow the lawn​ together?
  
• How do you solve and graph #5h+ -4>=6# and #7h+11<32#?
  
• Six times the sum of a number and 3 is 12 less than 12 times the number. How do you find the number?
  
• If f(x)=2x^3/5+7 ,find f^-1(x)?
  
• What is the distance between points( 6 , 9 ) and( 6 , − 9 ) on a coordinate plane?
  
• What is the simplified expression of ³(the square root of)64⁶ ?
  
• How do you solve #-8e^(-p)=-49#?
  
• How to prove this ? #2|k^2# then #2|k# for some #k\inZZ#
  
• What is the equation of the line with slope # m= -3/7 # that passes through # (17/13,14/7) #?
  
• If #f(x) = 3x + 5# and #g(x) = x^2#, what is #f(x) + g(x)#?
  
• What is the equation of the line passing through the point (4, 6) and parallel to the line y= 1/4x + 4?
  
• How do you evaluate f(-2) given #f(x)=x^2-4#?
  
• How do I convert 101 degrees fahrenheit into degrees celsius?
  
• How do you graph #y=sqrt(x-1)# and how does it compare to the parent function?
  
• How do you solve #\frac { 4a + 5} { a + 8} = \frac { 4a + 6} { a + 9}#?
  
• How do you find the x and y intercepts and slope if they exist and graph the line -2x + 7y = 14?
  
• How can I find the horizontal intercept of the equation #y=-4x^2-8x+12# algebraically?
  
• The sum of the two numbers is 12. The difference between them is 4. Find the numbers?
  
• Suppose in a right triangle, cos(t)=3/4. How do you find: cot(t)?
  
• How do you graph #y=x-7# by plotting points?
  
• Integrate 1/9+cosx dx?
  
• Can the quadratic formula be used with functions of the form #f(x)=ae^(bx)+ce^((b/2)x)+d#? Why or why not?
  
• If a circle has center (0,0) and a point on the circle (-2,-4) write the equation of the circle.?
  
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