A street artist paints caricature and scenery. The profit on a scenery is $30, and the profit on caricatures is $15. How many of each painting should he do to maximum profit? He paints 5 caricatures each week but cannot paint more than 125. He must paint 10 scenery each week and cannot point to more than 75. To keep the business open he must paint at least 50 paintings. If the caricatures take 3oz of paint and the scenery takes 10oz and he only has 900 oz of paint. It takes him 1 hour to paint 2 scenic paintings, 1 hour to paint 5 caricatures and he has 50 hours a week to work.

-4

step-by-step explanation:

(-4+8)=-(4-8)=-8+4=-4

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: