How many solutions does this system of equations have?

y = -2x +2
2y + 4x = 4

Step-by-step explanation:

Given that,

y=-2x+2. Equation 1,

2y+4x=4. Equation 2.

Rearrange the equations

y+2x=2. Equation 1

2y+4x=4 equation 2

We notice that equation one is a function of equation two. that is they are equal, we can't use it to solve it simultaneously,

Then, the equation have infinite set of solution

y+2x=2

y=-2x+2

Let x=k

Then, y=-2k+2

This are the solution of the simultaneous equation

k € R, i.e k can take any number like from - infinity to +infinity

the dimensions are:

step-by-step explanation:

we want to find the dimensions of a rectangular box with volume of

we factor to obtain;

we rewrite the rightmost factor to obtain;

recall that:

we apply difference of two squares formula to obtain;

hence the dimensions are

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: