How many solutions are there to the equation x^2 = 1? explain how you know.

Two solutions

Step-by-step explanation:

Let's clear the variable x.

Since x is squared we apply square root to clear

We have the following term

This term corresponds to the formula of a absolute value of a number.

The absolute value of a number is its distance from zero on a number line

the absolute value of x is equal to 1 this means that x takes all the values that are at a distance of one unit from zero on the real line

The numbers that have a distance of 1 unit from zero would be 1 and also -1 (as it is a distance the module is always positive)

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.