A sketch artist sells on-demand portraits and name doodles at the state fair. The artist has a personal maximum of 40 creations per day. With his current paper supply, the artist is equipped
to create up to 30 portraits and up to 20 doodles. If the artist's profit is $10 on each portrait and
$20 on each name doodle, how many of each item should he aim to sell to maximize his profit? Write a system of inequalities

answ9x x 3=

step-by-step explanation:

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,