Mathematics, 15.07.2019 02:30 julialombardo53

The sugar sweet company delivers sugar to its customers. let c be the total cost to transport the sugar (in dollars). let s be the amount of sugar transported (in tons). the company can transport up to 30 tons of sugar. suppose that c = 130s + 3500 gives c as a function of s . identify the correct description of the values in both the domain and range of the function. then, for each, choose the most appropriate set of values.

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Answer from: GreenHerbz206

The domain and the range of a function are the possible input and output values of the function.

The function is given as:

$\mathbf{C = 130S + 3500}$

The domain

This is the possible S values of the function.

S cannot be less than 0, because it represents a physical quantity (i.e. tons of sugar)The value of S can be any value greater than 0

Hence, the domain of the function is: $\mathbf{[0,\infty)}$

The range

This is the possible C values of the function.

The function is given as:

$\mathbf{C = 130S + 3500}$

When S = 0

$\mathbf{C = 130 \times 0 + 3500 = 3500}$

The above means that:

C cannot be less than 3500The value of C can be any value greater than 3500

Hence, the range of the function is: $\mathbf{[3500,\infty)}$

Read more about domain and range at:

link

Answer from: ahardy84

Transportation cost: c=130s + 3500, where s is the weight of the sugar transported, in tons. What are possible values of s? Surely, 0 is the smallest: no sugar transported => no transportation cost. What is the smallest possible value for c? If no sugar is transported, then s=0 and c=$3500.

In summary, the domain of s is [0, S) and that of c(s) is [$3500, C), where S (capital letter) is the maximum load of sugar that can be transported and C is the corresponding maximum freight charge for S tons of sugar. Note that s cannot be zero, and c cannot be less than $3500.

Answer from: Quest

{x = -1/2 , y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer: {x = -1/2 , y = -1

Answer from: Quest

Hello!
volume of sphere =4/3.pi.r^3

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