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Find the equation of the straight line that is tangent to the curve 2x^2 - 5x - 3 =0 when x = 3.

First differentiate 2x² - 5x - 3 to get 4x -5. At x = 3, the gradient of the tangent must be 7, and we know it goes through (3, 0) Plug the values into y = mx + c to get the equation of the lin...

Answered by Sarah L. • Maths tutor

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Work out 7/(2x^2) + 4/3x as a single fraction in its simplest form.

7/2x² + 4/3x = 21/6x² + 8x/6x² = ( 8x + 21 ) / ( 6x² )

Answered by Chris K. • Further Mathematics tutor

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Explain how Pumped-storage hydropower (PSH) can store energy.

The system consists of 2 reservoirs at different elevations, where the water can flow between them but through a hydroelectric power station. The higher elevation reservoir releases its water at higher en...

Answered by Chris K. • Physics tutor

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State two reasons why corrugated cardboard is used as packaging for cooked pizzas.

Strength to weight ratio so easy to carry but can support pizza2) Low cost in comparison to other packaging so is cost effective for cheap pizzasExtras:3) Can be printed on so businesses can display...

Answered by Chris K. • Design & Technology tutor

5339 Views

Name 3 features of plant root cells and how they allow the cells to absorb ions from the soil

Many mitochondria - production of ATP during aerobic respiration which allows active transport to take place for uptake of ions
Many root hairs - Increases surface area for maximum diffusion
La...

Answered by Caroline D. • Biology tutor

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