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1a) Simplify 2a^3 x a^5 1b) (4x^2)^3 1c) 2(3y+1) - 3(y-4)

1a) To simplify this into one expression you first multiply together the co-efficients, therefore 2a x a = 2a. Then for indices when they are multiplied together you add them, so the simplification would be ...
FI
Answered by Freddie I. Maths tutor
4458 Views

Given the function f(x) = 2x^2 + 3.When f(x) = 53 find both values of x

Sub in f(x)=53 into equation. So you have 53=2x^2+3, deduct 3 from both sides to get 50=2x^2 and then divide each side by 2 to get 25=x^2 and finally square root both sides to get x=5 or x=-5.
JW
Answered by Jack W. Maths tutor
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y=6x+9 , 3y-18x+9=0 Are these lines parallel?

3y-18x+9=0 , 3y=18x-9 , y=6x-3 , Both lines have the same value for m which means they both have the same gradient and are therefore parallel.
SL
Answered by Sean L. Maths tutor
3851 Views

There are 2 banks, Bank A and Bank B. Bank A provides compound interest of 1.3%. Bank B provides interest of 3.5% for the first year and then 0.7% for each extra year. James wants to invest £250. Which bank provides the most interest after 4 years?

Bank A: £250*(1.013^4) = £263.25570.... , Bank B: £250 1.035 (1.007^3) = £264.2218.... , 264>263 therefore Bank B provides more interest than Bank A
SL
Answered by Sean L. Maths tutor
3385 Views

Find the x-intercepts of the graph y=x^2+2x

At the x-intercepts of the graph, the line crosses the x-axis. This means that the y-value at these points equals 0. We must therefore make x^2+2x equal to 0 and simplify the equation. x^2+2x = 0 is the same...
HH
Answered by Harry H. Maths tutor
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