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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
6567 Views

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
3972 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
3492 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
7342 Views

What is a production possibility frontier?

A production possibility frontier, or PPF, is a line showing the maximum level of output in an economy of one good or group of goods in terms of another. At any point on this line, the economy is operating a...
HH
Answered by Harry H. • Economics tutor
3397 Views