Anna is considering writing and publishing her own book. She estimates her revenue equation as R=6.37x, and her cost equation as C=10,071+1.08x, where x is the number of books she sells. Find the minimum number of books she must sell to make a profit.

The minimum number of books she must sell to make a profit is 1904.

Step-by-step explanation:

Anna is considering writing and publishing her own book. She estimates her revenue equation as R = 6.37x, and her cost equation as C = 10,071 + 1.08x, where x is the number of books she sells.

So, the condition for no loss-no gain is, C = R

⇒ 10071 + 1.08x = 6.37x

⇒ 5.29x = 10071

⇒ x = 1903.78

Therefore, the minimum number of books she must sell to make a profit is 1904. (Answer)

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

by definition, an arc subtended by a central angle of some given measure has the same measure. so .