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Find values of x for which 2x^2 < 5x + 12

Start by rearranging the inequality - make sure the sign next to the x² term is positive to make it easier:

2x²-5x - 12< 0

Next step is to factorise this quadratic...

Answered by Sean B. • Maths tutor

15116 Views

How does water enter and move up the plant?

It moves up through a process known as transpiration. This is when water leaves the through the stomata, creating a negative hydrostatic pressure which pulls the water up through the xyle...

Answered by Emily P. • Biology tutor

28870 Views

Differentiate y=(x^2+1)(e^-x)

Here, we're using the product rule (and the chain rule for the e^-x): y=(x²+1)(e^-x) dy/dx=(2x)(e^-x)+(x²+1)(-1)(e^-x) Then we simplify to get...

Answered by Rishav D. • Maths tutor

7149 Views

Macroeconomic policy can both be a problem and a solution in economic fluctuations. Explain.

Macroeconomic policy, which is a term to describe fiscal policy and monetary policy, can often be a problem during economic fluctuations. Greece is a good example of this. As a result of their sovereign d...

Answered by Rishav D. • Economics tutor

5483 Views

What is the angular speed of a car wheel of diameter 0.400m when the speed of the car is 108km/h?

A) 75 rad/s B) 150 rad/s C) 270 rad/s D) 540 rad/s Identify equation as w=v/r Diameter = 0.4m Radius = half the diameter = 0.2m Velocity needs to be in m/s so 108km/h = 1...

Answered by Edward W. • Physics tutor

16338 Views