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Given the two curves y1 and y2, verify the two curves intersect at (-5,0) and (2,0)

y 1 = -3x 2 - 9x + 30 , y 2 = x 2 + 3x - 10Equate two curves ( y 1 = y 2 )Obtain following simplified quadratic: x 2 + 3x + 10 = 0Factorise to obtain ( x + 5 ) ( x - 2 ) = 0 and correct x values x = -5 , x =...
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Answered by James P. Maths tutor
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Event A: a customer asks for help. Event B a customer makes a purchase. We know: p(B) = 0.2 and p(A) knowing that he has asked for help is 75%. What is the probability of a customer to ask for help and make a purchase?

If we right down all we have here we get:P(A) = X P(B) = 0.2 P(AIB) = 0.75 (P(A) knowing B). And we are looking for P(ANB). We have to use the formula of P(AIB) = P(ANB)/P(B). If we rearrange the equations, ...
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Answered by Dan A. Maths tutor
3180 Views

What's the best strategy when approaching a maths problem?

First of all you need to understand that not every problem can be solved by sistematically applying the same set of steps or rules: sometimes you need to come up with different ways. In order to do that, you...
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Answered by Michele I. Maths tutor
3613 Views

The line AB has equation 5x + 3y + 3 = 0. The point with coordinates (2k + 3, 4 -3k) lies on the line AB. How do you find the value of k.

This kind of question requires correct substitution by setting the x in the original equation equal to the x value of the point ( 2k+3) and setting the y value of the original equation to the y value of the ...
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Answered by Kelvin N. Maths tutor
4699 Views

Solve the equation (z+i)^*=2zi+1.

STEP 1: What the questions asks us is to find z that solves the equation given. Since z is a complex number, we need to determine both its real and imaginary parts. Hence, we begin by writing z in terms of i...
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Answered by Tutor179220 D. Maths tutor
3951 Views