The graph shows four functions:

y = 50x in black
y = 10x2 in green
y = x3 − 5 in orange
y = (1.25)x in blue

Which function will have the largest value as x → ∞?

A) y = 50x
B) y = 10x^2
C) y = x^3 − 5
D) y = (1.25)^x

D

Step-by-step explanation:

y = 1.25 ^ x will have the greatest value as x => infinity because the largest exponent in the equation defines that equations end behavior, and y = 1.25^x will have the largest exponent as x => infinity.

pretty sure 750 each month!

step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584