The difference of two numbers is 5. The sum of three times the larger number and twice the smaller number is 30. What is the smaller number?

3

Step-by-step explanation:

Let the smaller number be y.

Since the difference of two numbers is 5,then the larger number will be: y+5

The sum of three times the larger number and twice the smaller number is 30. This can be written as:

3(y+5) + 2y = 30

3y + 15 + 2y = 30

5y + 15 = 30

5y = 30 - 15

5y = 15

y = 15/5

y = 3

The smaller number is 3

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204