What are the leading coefficient, constant term and degree, if any, of the algebraic expression -7

Please check the explanation.

Step-by-step explanation:

We know that the degree of a certain polynomial will be the largest degree of any term.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest exponent of x i.e. 5. Thus, the polynomial has a degree of 5.

We also know that the coefficient of the term with the largest degree of the polynomial is called the leading coefficient of the polynomial.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 7x⁵ has the highest degree of 5. Thus, the leading coefficient of the polynomial

will be 7.

We also know that the constant term of a polynomial has the degree zero. i.e. the term which involves no variable.

For instance, in the polynomial 2x⁴ + 3 + 7x⁵ - 3x, the term 3 does not have any variable involved in it. Thus, the constant term of the polynomial

will be 3.

Coming back to the question:

Given the expression

-7

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)

↓↓↓↓↓↓↓↓↓

step-by-step explanation:

this is a parabola.