Plz
which are the solutions of x2 = –7x – 8?
startfraction 7 over 2 endfraction minus startfraction startroot 17 endroot over 4 endfraction comma startfraction 7 over 2 endfraction + startfraction startroot 17 endroot over 4 endfraction startfraction negative 7 over 2 endfraction minus startfraction startroot 17 endroot over 4 endfraction comma startfraction negative 7 over 2 endfraction + startfraction startroot 17 endroot over 4 endfraction startfraction 7 minus startroot 17 endroot over 2 endfraction comma startfraction 7 + startroot 17 endroot over 2 endfraction startfraction negative 7 minus startroot 17 endroot over 2 endfraction comma startfraction negative 7 + startroot 17 endroot over 2 endfraction

Step-by-step explanation:

Given:

The equation is given as:

Rearrange the above equation in standard quadratic equation of the form

Adding on both sides, we get

Here,

Now, we solve this using quadratic formula,

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)