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f(x) = x^2 + 2x - 3. Where does the graph of the function f intersect the x-axis?

First, let's use the discriminant to check that the function actually does intersect the x-axis. b 2 -4ac = 4-(4 x -3) = 4+12 = 16, which is greater than 0, so we're fine. The function intersects the x-axis ...
GM
Answered by George M. • Maths tutor
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James buys a new car for £1000. Every year the value of the car decreases by 3%. If James bought the car in 2017 what would the value of the car be in 2021?

First work out how many years have passed since the car was bought. 2017-2021 is 4 years. Write an expression for the cost of the car after n years. Cost = 1000 * 0.97 n . Write down an expression for the co...
WG
Answered by William G. • Maths tutor
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(Textiles) What are the 3 key fibre classifications? Give an example for each category.

Natural fibres, eg. Cotton Manufactured (regenerated) fibres, eg. Viscose Synthetic fibres, eg. Polyester
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What are the verb endings for regular -ar verbs in the present tense?

-o-as -a -amos -áis-an
Answered by • Spanish tutor
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How do you expand brackets?

Take the expression(x+2)(x+4). Expanding brackets essentially means multiplying them out to get a new expression. In this case, it will have the form x 2 +cx+d, where c and d are numbers to be determined. Th...
JA
Answered by Jan A. • Maths tutor
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