A factory turns out two articles X and Y, each of which is processed by two machines P and Q. X requires 2 hours of P
and 4 hours of Q; Y requires 4 hours of P and 2 hours of Q. Note
that neither P nor Q can work more than 24 hours a day. If each
article X yields a profit of Rs. 30 and each article Y yields a
profit of Rs. 40, find how many of each article should be
produced daily for maximum profit. Also, find the maximum
profit.​

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation:

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

(2x + 16) + (x) = 180

step-by-step explanation:

given,

abcd is a quadrilateral inscribed in a circle

angle a is labeled x plus 16, (x + 16)

angle b is labeled x degrees, (x)

angle c is labeled 6x minus 4, (6x – 4)

angle d is labeled 2x plus 16, (2x + 16)

what equation can be used to solve for angle b?

we know that the sum of the opposite angles of a simple quadrilateral inscribed in a circle is 180 degrees.

angle b is opposite angle d

therefore, angle b + angle d = 180

(x) + (2x + 16) = 180 

same as (2x + 16) + (x) = 180