In a survey of 250 people 180 like farming ,120 like civil service and every people like at least one occupation .Draw a Venn diagram and find the number of people who like farming as well as civil service. Also find how many people like onley civil service

Step-by-step explanation:

Given

We have:

Add the first two equations and subtract the third one to get the number of people who like both:

Now find the value of C - B, civil service only:

The diagram will look like this:

Farming    |   Both (intersection)  |  Civil services

    130        |           50                     |         70

answer: 2x + 2 − 2 = 10 − 2; subtraction property of equality

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