Please helppp But please explain the answer, Bc I want to understand.

Which is an equation for a line that passes through (0,-3) and is perpendicular to the graph of the line y=2x-3?

1. Y=-2x+3
2. Y= -2x-3
3. Y=-1/2x +3
4. Y=-1/2x-3

I think the answer is 2

Step-by-step explanation:

I it is perpendicular to y=2x-3 then the x value has to be -1 meaning that the x value has to be -2x

so we have Y=-2x+c

We know the Y value is -3 from the co ordinates (0,-3)

so now we have -3=-2x+c

we also know x=0 from the co-ordinates (0,-3)

so we now have -3=-2*0+c

-3=0+c

to make the equation work c has to be -3 meaning that we now have

-3=0-3 which is

Y=-2x-3

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)