The gradient of a function at any point (x,y) 2x - 6. If the function passes through (1,2), find the function.
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2022
The equation of a circle is given as 2x\(^2\) + 2y\(^2\) - x - 3y - 41 = 0. Find the coordinates of its centre.
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2022
The probability that a student will graduate from college is 0.4. If 3 students are selected from the college, what is the probability that at least one student will graduate?
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2022
Find the range of values of x for which 2x\(^2\) + 7x - 15 ≥ 0.
Find correct to the nearest degree, the acute angle formed by the lines y = 2x + 5 and 2y = x - 6
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2022
The mean heights of three groups of students consisting of 20, 16 and 14 students each are 1.67m, 1.50m and 1.40m respectively. Find the mean height of all the students.
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2022
A body of mass 18kg moving with velocity 4ms-1 collides with another body of mass 6kg moving in the opposite direction with velocity 10ms-1. If they stick together after the collision, find their common velocity.
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2022
The first, second and third terms of an exponential sequence (G.P) are (x - 4), (x + 2), and (3x + 1) respectively. Find the values of x.
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2022
Find the coefficient of x\(^3\)y\(^2\)in the binomial expansion of (x-2y)\(^5\)
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If g(x) = √(1-x\(^2\)), find the domain of g(x)
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2022
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.What is the mode of the distribution?Distance(km)345678Frequency54x92x1
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2022
The table shows the distribution of the distance (in km) covered by 40 hunters while hunting.Distance(km)345678Frequency54x92x1If a hunter is selected at random, find the probability that the hunter covered at least 6km.…
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2022
If PQ = -2i + 5j and RQ = -i - 7j, find PR
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2022
Given that P = (-4, -5) and Q = (2,3), express PQ in the form (k,θ). where k is the magnitude and θ the bearing.
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2022
Solve: \(3^{2x-2} - 28(3^{x-2}) + 3 = 0\)
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2022
In how many ways can six persons be paired?
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2022
If Un = kn\(^2\) + pn, U\(_1\) = -1, U\(_5\) = 15, find the values of k and p.
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2022
A particle moving with a velocity of 5m/saccelerates at 2m/s\(^2\). Find the distance it covers in 4 seconds.
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2022
Given that P = {x: x is a multiple of 5}, Q = {x: x is a multiple of 3} and R = {x: x is an odd number} are subsets of μ = {x: 20 ≤ x ≤ 35}, (P⋃Q)∩R.