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If the quadratic equation kx^2+kx+1=0 has no real roots, what values of k are possible?

The solutions to quadratic equations, which are of the form ax^2+bx+c=0 with a≠0, are given by the Quadratic Formula: x= [-b+-sqrt(b^2-4ac)]/(2a). However, all real numbers, whether negative or not, square t...
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Sketch the graph y = 2sin(4x)

We know that y=sinx is the sinusoidal graph that starts at the origin, with maxima at x = pi/2 with a value of 1, and a minima at x = 3pi/2 with a value of -1. The 4x inside the bracket means that all x valu...
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Answered by Gagan K. • Maths tutor
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Describe how mRNA is produced in the nucleus of a cell.

The process in which mRNA is produced is called transcription.Firstly, DNA Helicase breaks Hydrogen bonds to unzip the DNA molecule and expose the base pairs. Then nucleotides enter through nuclear pores and...
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Answered by Joana S. • Biology tutor
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Use calculus to find the set of values of x for which f(x) = x^3 - 9x is an increasing function.

f(x) is an increasing function when its gradient is positive. To find the the gradient of the the function we must differentiate it:d/dx f(x) = 3x 2 - 9. To differentiate we multiply the exponent by the coef...
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3 green balls, 4 blue balls are in a bag. A ball is removed and then replaced 10 times. What is the probability that exactly 3 green balls will be removed?

(Binomial)P(G=3) : ( 10 C 3 )(3/7) 3 (4/7) 7
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