What is the equation of the line that is parallel to the given line and has an x-intercept of –3? y =2/3 x + 3 y = 2/3x + 2 y = -3/2x + 3 y = -2/3x + 2

Regardless of what the given line is, the only possible answer is B) y = 2/3x + 2

Step-by-step explanation:

To find one with an x-intercept of -3, we need to put -3 in for x in each equation. If it is truly an x-intercept, then it will give us y = 0 as a result. B is the only one that does that.

y = 2/3x + 2

y = 2/3(-3) + 2

y = -2 + 2

y = 0

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)

ιт ιѕ 6/23

step-by-step explanation:

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