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y = (x + 2)(x + 5)

steps as follows:x times x = x²2 times 5 = 102 times x = 2xx times 5 = 5xthen add these together:y = x²+ 7x +10x = -2, -5; y = 0, 10

Answered by Georgie L. • Maths tutor

2277 Views

Identify some features from Debussy's Claire de Lune that are associated with the Romantic era.

Use of dissonant and crushed harmonies.Varied rhythm and rubato.No clear melody line.

Answered by Georgie L. • Music tutor

3968 Views

Explain the differences between enzyme inhibitors

There are two types of inhibitors. Competitive inhibitors have a similar tertiary structure to the substrate and so can bind temporarily to the enzyme’s active site. This blocks the active site meaning th...

Answered by Laura N. • Biology tutor

2248 Views

A curve has the equation, 6x^2 +3xy−y^2 +6=0 and passes through the point A (-5, 10). Find the equation of the normal to the curve at A.

Use implicit differentiation on original equation-
12x + 3x(dy/dx) + 3y - 2y(dy/dx) = 0
dy/dx= -12x -3y/(3x-2y) at A, x= -5 and y= 10 therefore, dy/dx=-6/7

To find the normal of t...

Answered by Chantal G. • Maths tutor

5861 Views

A curve has the equation y = (x^2 - 5)e^(x^2). Find the x-coordinates of the stationary points of the curve.

This requires the chain rule and the product rule to be used to differentiate the function. The substitution u = x² can be used to make this easier. Using this, du/dx = 2x and y = (u-5)e^u<...

Answered by Oliver J. • Maths tutor

3677 Views