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You are given that f(x) = cx + d and that f(0) = -6 and f(2) = 10. Find the values of c and d.

f(x) = cx + d f(0) = c 0 + d = d = -6 => d = -6 f(2) = c 2 + d = c 2 + -6 = 10 => c 2 - 6 = 10 => c = (10 + 6) / 2 => c = 8
GJ
Answered by Grace J. • Maths tutor
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Find the value of x in (4^5⋅x+32^2)⋅2^5=2^16⋅x

Find the value of x in (4 5 ⋅ x +32 2 )⋅2 5 =2 16 ⋅ x First we transform everything into powers of 2 as all the numbers involved in this equation are multiples of 2. || 4 5 = (2 2 ) 5 = 2 2*5 = 2 10 || 32 2 ...
LC
Answered by Luis C. • Maths tutor
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A ladder 5m long is leaning up against a wall. The foot of the ladder is 3m from the wall. How high up the wall does the ladder reach?

Think about which mathematical theorem you might want to use for this question (Pythagoras: a 2 + b 2 = c 2 ) Draw a diagram of the situation described, and write down the equation you think you should use. ...
JR
Answered by Josie R. • Maths tutor
15716 Views

Solve the equation ((2x+3)/(x-4))-((2x-8)/(2x+1)) = 1 to 2 decimal places.

First, multiply by the denominators making sure to multiply on both sides of the equation and the other fraction. You should start this by multiplying through by one of the denominators and then by the other...
HC
Answered by Harry C. • Maths tutor
4266 Views

Paul organised an event for a charity. Each ticket for the event cost £19.95 Paul sold 395 tickets. Paul paid costs of £6000 He gave all money left to the charity. (a) Work out an estimate for the amount of money Paul gave to the charity.

This question asks us to estimate the amount of money Paul gave to Charity. To work out an estimate we must start by rounding the numbers we are given to 1 significant figure and the Starting with 19.95 --&g...
PP
Answered by Priti P. • Maths tutor
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