Aline is defined by the equation y=2/3 x -6. the line passes through a point whose y-coordinate is 0. what is the x-coordinate of this point?

x = 9

Step-by-step explanation:

Substitute y = 0 into the equation and solve for x

x - 6 = 0 ( add 6 to both sides )

x = 6

Multiply both sides by 3 to clear the fraction

2x = 18 ( divide both sides by 2 )

x = 9

That is the x- coordinate of the point is 9

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