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organize the following polynomial expressions from least to greatest based on their degree:

i. 6x^2

ii. 18x^3 + 5ab − 6y

iii. 8a − 5

iv. 4x^3y + 3x^2 − xy − 4

select one:

a. iii, i, iv, ii

b. iv, ii, i, iii

c. iii, i, ii, iv

d. iv, i, ii, iii

B is the correct answer

Step-by-step explanation:

Functions or expressions are given degrees based on their highest exponent on the variable.  

The larger the value of the exponent, the higher the degree.  In this example,

6x² has a degree of 2 because 2 is the highest exponent of x

18x^3 + 5ab − 6y has a degree of 3 because 3 is the highest exponent of x

8a − 5    has a degree of 1 because the highest exponent of a

4x^3y + 3x^2 − xy − 4  has a degree of 3y

So IV has the highest degree, followed by II, followed by I, and III has the lowest degree

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

step-by-step explanation: