angad was thinking of a number. angad halves the number and gets an answer of 78.5. form an equation with x from the information​

157

Step-by-step explanation:

Let the number Angad was thinking be 'x'

Equation:-

1/2(x) = 78.5

x = 78.5(2)

x = 157

a. she will receive a refund of $278.

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