Determine if the following system of equations has no solutions, infinitely many solutions or exactly one solution.
-5x + y = -2

20x-4y = 8

Infinite solutions.

Step-by-step explanation:

The given equations are :

-5x + y = -2 .....(1)

20x-4y = 8 .....(2)

We have,

a₁ = -5, a₂ = 20, b₁ = 1, b₂ = -4, c₁ = -2 and c₂ = 8

It means,

So, the system of equations has infinite solutions.

the answer is b.

step-by-step explanation:

by the trigonometric ratio tangent, tangent equals opposite divided by adjacent.

therefore, tan(50) equals ac/3

multiply each side by 3 to get: ac=3tan(50)

the answer is b.

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