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How do you solve inequalities when they involve quadratics? i.e x^2+x-6<0

It is easiest to first solve the quadratic as if it isn't an inequality. This will then help us to sketch the graph of the function which will in turn help us to solve the inequality. So let's change the &lt...
JM
Answered by Jake M. • Maths tutor
4400 Views

expand the brackets: (x+3)(x+2)

(x+3)(x+2)we need to multiply each term by both terms in the other bracketFOIL helps us remember the process. First, Outer, Inner, Last so we don't forget any of them.Fist - in this case multiply the first x...
LW
Answered by Luke W. • Maths tutor
6342 Views

Expand the following (x+4)(x+2)

The most important thing to remember when expanding brackets is to make sure that all terms in the one brackets have been multiplied with all the terms in the other.In this case we have two terms in each bra...
JG
Answered by James G. • Maths tutor
5025 Views

A box contains 7 caramel doughnuts. They have masses of 56 g, 67 g, 45 g, 56 g, 58 g, 49 g and 50 g. Find the median, mean and mode values of these masses. Bonus: What mass of doughnut could be added to the box to make the mean mass = 61 g.

Median: Order the values from lowest to highest: 45, 49, 50, 56, 56, 58, 67. Pick the middle value. Answer = 56 g.Mode: The most common value. Answer = 56 g.Mean: Add all the values up, then divide the resul...
KG
Answered by Kate G. • Maths tutor
3032 Views

√5( √8 +√18) can be written in the form a√10 where a is an integer.

First, I would take into account the important parts of the question. I'm looking for an answer in the form of &quot;a√10, where a is an integer&quot;. I would explain if not known that an integer is just a ...
GW
Answered by George W. • Maths tutor
5502 Views