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If (x + 2) and (x - 1) are factors of the expression \(Lx + 2kx^{2} + 24\), find the values of L and k.
A group of market women sell at least one of yam, plantain and maize. 12 of them sell maize, 10 sell yam and 14 sell plantain. 5 sell plantain and maize, 4 sell yam and maize, 2 sell yam and plantain only while 3 sell all the three items. How many women are in the group?
X is due east point of y on a coast. Z is another point on the coast but 6.0km due south of Y. If the distance ZX is 12km, calculate the bearing of Z from X
List all integers satisfying the inequality in -2 < 2x-6 < 4
Find x if log\(_9\)x = 1.5
Factorize completely 81a\(^4\) - 16b\(^4\)
If the binary operation \(\ast\) is defined by m \(\ast\) n = mn + m + n for any real number m and n, find the identity of the elements under this operation
What is the n-th term of the sequence 2, 6, 12, 20...?
The angles of a quadrilateral are 5x-30, 4x+60, 60-x and 3x+61.find the smallest of these angles
factorize m\(^3\) - m\(^2\) + 2m - 2
If g(x) = x\(^2\) + 3x find g(x + 1) - g(x)
If w varies inversely as \(\frac{uv}{u + v}\) and w = 8 when
u = 2 and v = 6, find a relationship between u, v, w.
A car travels from calabar to Enugu, a distance of P km with an average speed of U km per hour and continues to benin, a distance of Q km, with an average speed of Wkm per hour. Find its average speed from Calabar to Benin
Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9
Musa borrows N10.00 at 2% per month simple interest and repays N8.00 after 4 months. How much does he still owe?
Find the probability that a number selected at random from 41 to 56 is a multiple of 9
Two numbers are removed at random from the numbers 1, 2, 3 and 4. What is the probability that the sum of the numbers removed is even?
The mean of ten positive numbers is 16. When another number is added, the mean becomes 18. Find the eleventh number
4, 16, 30, 20, 10, 14 and 26 are represented on a pie chart. Find the sum of the angles of the bisectors representing all numbers equals to or greater than 16
The locus of a point which moves so that it is equidistant from two intersecting straight lines is the?