Search
forms a straight line or a curve.
P(x) = x2+1/x+1
Find all values of x satisfying |x-2| = x + 4
The volume of a box V
V, varies with some variable x
x as V(x)=x^3 - 12x ^2 + 44x -48
V(x)=x3
−12x2
+44x−48 cubic metres. If (x - a)
(x−a) metre is the measurement of one side of the box, then find the value for a
a.
The volume of a box V, varies with some variable x as V(x) = x3-12x2+44x-48 cubic metres. If (x - a) metre is the measurement of one side of the box, then find the value for a
There are 17 boys and 12 girls in a mathematical club. For playing some game, the teacher has to distribute chips among the children (their total number is equal to K, and all of them have to be given). It is necessary that all the boys have the same numbers of chips, all the girls have the same numbers of chips, and each of the children has at least one chip. It has turned out that the teacher can distribute the chips in a single way. Determine the largest possible value of K.
14 pairwise different positive integers are written on the board. Their mean value is equal to 19. Let M be the largest of these numbers. Find the smallest possible value of M.
What is the smallest value of 9(a^2) + (b^2) +16(c^2) given that 3a-b+4c=16 and
(4/a) - (12/b) +(3/c) = 0
Ivan and 5 sportsmen took part in a final 100-meter dash (all sportsmen start running simultaneously). It is known that Ivan won the dash. At the moment when 9 seconds passed from the start, all sportsmen together ran 290 meters (and nobody finished the race yet). At the moment Ivan finished the dash, the other 5 sportsmen had to run a total of 100 meters. How many meters did Ivan run during 9 seconds? (During the dash, all runners move at a constant speed.)
Let f(x)=x^2+bx+c. It has turned out that equation f(x) = 2x - 7 has exactly one solution, and equation f(x)=21-6x also has exactly one solution. Find the largest value of parameter p such that equation f(x) has exactly one solution.
1000 chips are situated in a row. Each of the chips is either black or white. It is known that whatever two white chips are considered, the number of chips between them is not equal to 12 (possibly it is 0). What is the largest possible number of white chips in the row?
