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How to sketch a cubic function

Determine intersections with the x and y axis, intersections at x axis occur when y=0 and intersections with the y axis occur when x=0.2) Differentiate function to find stationary points (by setting...

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

y₁= -3x²- 9x + 30 , y₂ = x² + 3x - 10Equate two curves ( y₁= y₂)Obtain following simplified quadratic: x²+ 3x + 10 = 0Facto...

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 equ...

Answered by Dan A. • Maths tutor

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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, ...

Answered by Michele I. • Maths tutor

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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 t...

Answered by Kelvin N. • Maths tutor

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