Apastry chef wants to bake and sells fries. before they start production, they need to make sure they can make a profit with the materials and labor force they have. their accountant has given them a cost equation of y=0.65x+1410 and a revenue equation of y=0.8x. how many pies will they need to sell in order to reach the break order point?

They need to sell 9400 pies to reach the break-order point

Step-by-step explanation:

* Lets explain the break-order point

- The break-order point is the point at which total cost and total

  revenue are equal

∴ The total cost = The total revenue

* Lets solve the problem

∵ The equation of the total cost is y = 0.65x + 1410

∵ The revenue equation is y = 0.8x

- To find the break-order point equate the two equations

∴ 0.65x + 1410 = 0.8x

- Subtract 0.65x from both sides

∴ 1410 = 0.8x - 0.65x

∴ 0.15x = 1410

- Divide both sides by 0.15

∴ x = 1410/0.15 = 9400

∵ x is the number of pies

* They need to sell 9400 pies to reach the break-order point

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12