The football team is selling t-shirts to raise money for new equipment. The cost of each t-shirt is $2.50 and the t-shirt company charges a print fee of $25. The team will sell shirts for $12 each. Consider the following functions below that represent the cost, C(x), and revenue, R(x), of shirts sold.

C(x) = 2.5x +25

R(x) = 12x

Write an equation that best represents the profit function of how much the basketball team will make?

P (x) = 9.5 x -25

Step-by-step explanation:

Hi, to answer this question we have to write a profit function with the information given.

Profit is equal to: Revenue - Cost.

Replacing with the equations given:

P(x) = R (x) - C (x) = 12x -(2.5x +25)  

Adding alike terms (x) and simplifying:

P(x)= 12x -2.5x -25

P (x) = 9.5 x -25  

Feel free to ask for more if needed or if you did not understand something.

step-by-step explanation:

there is a formula i can give you:

it is r^2*n*sin(360/n) divided by 2 where r represents the "radius" and n is the number of sides.

plug them in:

(10sqrt(3))^2*6*sin(360/6) divided by 2

100*3*6*sin(60) divided by 2

900*sin(60)

900*sqrt(3)/2

450*sqrt(3)

approx is 779.4 cm^2

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).