The larger of two numbers is 12 more than the smaller number. if the sum of the two numbers is 74, find the two numbers

For a visual, say the numbers are x and y.

x = 12 + y

if the sum is 74,

x + y = 74

to solve for y,

y = 74 - x

now, plug this into the first equation and solve.

x = 12 + (74 - x)

x = 86 - a

2x = 86

x = 43.

plug the solution of x into x + y = 74 and solve

43 + y = 74

y = 31.

so, your two numbers are 43 and 31. :)

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1