The larger of two numbers is 11 more than twice the smaller number. The sum of the numbers is 1 less than seven times the smaller number. Find the numbers

bigger: 16, smaller: 2 2/5

Step-by-step explanation:

x = smaller number

11 + 2x + x = 7x - 1

+1                     +1

12 + 2x = 7x

    -2x     -2x

12 = 5x, x = 2 2/5 = smaller number

11 + 5 = 16 = bigger number

congruent segments

step-by-step explanation:

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