Fresh pond has a population of 854 and it’s increasing by 3 people per year. strawberry has a population of 427 and it’s increasing by 10 people per year. in how many years will the two villages have the same number of residents?

The number of years that will the two villages have the same number of residents is 61 years

Step-by-step explanation:

Let's assume number of years as 'x'

First Pond:

Fresh pond has a population of 854

and it’s increasing by 3 people per year

so, we can find equation for population of first pound

Second pond:

Strawberry has a population of 427

and it’s increasing by 10 people per year

so, we can find equation for population of first pound

Since, populations are equal

so, we can set both equation equal and then we can solve for x

So,

The number of years that will the two villages have the same number of residents is 61 years

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

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.