(09.02 MC) Which of the following tables shows the correct steps to transform x2 + 6x + 8 = 0 into the form (x − p)2 = q?
[p and q are integers] (5 points)

Step 1 x2 + 6x + 8 − 1 = 0 − 1
Step 2 x2 + 6x + 7 = −1
Step 3 (x + 3)2 = −1
Step 1 x2 + 6x + 8 + 1 = 0 + 1
Step 2 x2 + 6x + 9 = 1
Step 3 (x + 3)2 = 1
Step 1 x2 + 6x + 8 − 2 = 0 − 2
Step 2 x2 + 6x + 6 = −2
Step 3 (x + 3)2 = −2
Step 1 x2 + 6x + 8 + 2 = 0 + 2
Step 2 x2 + 6x + 10 = 2
Step 3 (x + 3)2 = 2

they are simplified

step-by-step explanation:

graph them on a graphing calculator, press 2nd trace. select intersect. hit enter until it says answer. ti 84 works best

step-by-step explanation:

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)