The table shows a company’s profit based on the number of pounds of food produced.

using the quadratic regression model, which is the best estimate of the profit when 350 pounds of food are produced?

a). 5,150
b). 5,300
c). 10,150
d). 11,000

B) 5,300

Step-by-step explanation:

Let x represents the pounds of food produced and y represents the profit in dollars,

Thus, the table that shows the given situation would be,

x    100          250       500         650         800

y   -11000     0          10300      11500      9075  

Since, the equation of a quadratic equation is,

Where,

Also,

By substituting the values,

We get,

A ≈ -20420.96

B ≈ 102.24

C ≈ -0.082

Hence, the quadratic equation that shows the given situation is,

For x = 350 pounds,

Which is nearby 5300,

Hence, option B is correct.

i do not know the answer i am sorry

{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