Math
18*.85 = 15.3 litres are petrol, so 2.7 litres are oil
maths
Clearly 10^n = n^10 when n=10 Since exponentials grow faster than polynomials for large enough n, It looks like 10^n <= n^10 for n=2..10, or 9 values
maths
36 (2^2 3^2) seems likely 1 2 3 4 6 9 12 18 36 nope 48 (2^4 3^1)? 1 2 3 4 6 8 12 16 24 48 nope 72 (2^3 3^2)? 1 2 3 4 6 8 9 12 18 24 36 72 Yes
alg 2
f(x) = 5x^2 - 4, so f◦g = f(g) = 5g^2 - 4 = 5(x-2)^2 - 4 (f◦g)(-3) = 5(25)-4 = 121
Algebra 2
correct
Algebra 2
correct
Algebra 2
correct
college algebra
for excellent graphing help, visit http://rechneronline.de/function-graphs/ enter your function -(1/2)*x+1 and it will draw a nice graph. You can use it to play around with different functions at will, and explore how changes affect the picture.
Algebra
(4x-43) + (3x+y)i = (2y-x) + (2x+2y+5)i so, for the two complex numbers above to be equal, 4x-43 = 2y-x 3x+y = 2x+2y+5 (x,y) = (11,6) xy=66
Algebra
w(2w+3) = 324 2w^2+3w-324 = 0 (2w+27)(w-12) = 0 w=12, so the room is 12x27
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