Me solve this! 20 points.

an equation is shown below:

5x + 3(x – 5) = 6x + 2x – 15

part a: solve the equation and write the number of solutions. show all the steps.

part b: name one property you used to solve this equation.

see explanation

Step-by-step explanation:

Given

5x + 3(x - 5) = 6x + 2x - 15

Use the distributive property to expand the parenthesis

5x + 3x - 15 = 8x - 15 ← collect like terms on the left side

8x - 15 = 8x - 15

Both sides are equal, hence the equation has an infinite number of solutions.

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