Amal solved the equation by completing the square. x2−8x+14=0 which equation shows one of the steps jamal could have taken to complete the square? x2−8x+16=−14+16 x2−8x+64=−14+64 x2−8x+16=−14 x2−8x+64=−14

Consider the given equation

We will solve this equation by completing the square method.

Consider the coefficient of 'x', divide it by '2'. then adding and subtracting the square of this number in the given equation.

Coefficient of 'x' = -8

By dividing it by '2', we get -4

Taking the square of '-4' = 16

Adding and subtracting '16' from the given equation.

So,

This equation shows one of the step used in solving the equation by completing the square method.

Therefore, option 1 is the correct answer.

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)