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f(x) = 2x + c, g(x) = cx + 5, fg(x) = 6x + d. c and d are constants. Work out the value of d. 3 marks.

fg(x) = 2(cx+5) + c

= 2cx+10+c                           [1 mark]

fg(x) = 6x+d. fg(x) = 2cx+10+c

6x = 2cx and d = 10+c          [2 marks]

3 = c and therefore d = 13    [3 marks...

HK
Answered by Heba K. Maths tutor
22077 Views

balance equation : PCl5 + 4H2O → H3PO4 + HCl

fist look at the first molecule on the left of the equation, the first atom is P there's 1 mole and looking at the right there is also only one. the look at the next atom Cl which has five mole, on the ri...

CM
14970 Views

What is the general equation for a straight graph line and what does each part represent?

Y= mX + c, 'X' is the horizontal value on the axis, the input value. The 'm' represents the gradient of the line, figured out by the change in y divided by the change in x. The 'c' value is the y intercep...

TW
Answered by Toby W. Maths tutor
3123 Views

Translate from English to Latin: 'The girls were walking to the forum'

When you're given a sentence, the first thing to do is think of any Latin vocab that matches the English: eg. 'forum' is also 'forum' in Latin, and you probably know that a girl is 'puella', if you've use...

CA
Answered by Charlotte A. Latin tutor
12379 Views

Find the range of values of x for which: x^2 + 3x + 2 < 0

If you were to factorise this quadratic to find out its roots, you would get:

(x+1)(x+2)

which gives us roots of -1 and -2.

Remember that roots are where the graph crosses the x-axis,...

TN
Answered by Thomas N. Maths tutor
5724 Views

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