Betty and dyan can pick 8 quarts of strawberries in 45 minutes if they work together. it takes dyan x minutes to pick 8 quarts of strawberries alone.

what does the denominator of the rational expression 45x−10 mean in the context of this situation?

a. the denominator represents the rate at which dyan picks 8 quarts of strawberries.

b. the denominator represents the time it takes betty to pick 8 quarts of strawberries if she takes 10 more minutes than dyan.

c. the denominator represents the time it takes betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than dyan.

d. the denominator represents the rate at which betty picks 8 quarts of strawberries.

The answer is letter c.

Step-by-step explanation:

In order to know the answer, it is best to check what is given in the scenario above.

45 minutes = the time it takes for Betty and Dyan to pick 8 quarts of strawberries.

45x minutes= this refers to the time it takes for Dyan to pick 8 quarts of strawberries

In the rational expression, 45x-10, we've already known that 45x refers to minutes or the time it takes for Dyan to pick 8 quarts of strawberries, thus 10 here refers to minutes or time as well.

The mathematical operation used is "subtraction," so this means that Betty takes a shorter time than Dyan when it comes to picking strawberries in the situation above.

Thus, the denominator represents the time it takes Betty to pick 8 quarts of strawberries if she takes 10 fewer minutes than Dyan.

(1,4) is on graph of f(x)

f(1) = 4

so 1/4 f(x)

1/4 f(1)

1/4. ×4

1

so point for function 1/4. f(x) is (1,1)

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet