Paul opened a bakery. The net value of the bakery (in thousands of dollars) t months after its creation is modeled by Paul wants to know what his bakery's lowest net value will be v(t)=2t^2-12t-141) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. v(t)=.What is the bakeries lowest net value?

Question

Paul opened a bakery. The net value of the bakery (in thousands of dollars) t months after its creation is modeled by  Paul wants to know what his bakery's lowest net value will be v(t)=2t^2-12t-141) Rewrite the function in a different form (factored or vertex) where the answer appears as a number in the equation. v(t)=.What is the bakeries lowest net value?

Bytelearn · Accepted Answer

Rewrite Quadratic Function:  First, let's rewrite the quadratic function v(t) = 2t^2 - 12t - 141 in vertex form to find the minimum value. Vertex Form Definition:  The vertex form of a quadratic function is v(t) = a(t-h)^2 + k, where (h, k) is the vertex of the parabola. Calculate Vertex Coordinates:  To find h, use the formula h = -b/(2a). Here, a = 2 and b = -12. So, h = -(-12)/(2*2) = 3. Substitute to Find Minimum Value:  Substitute t = 3 back into the original equation to find k. v(3) = 2(3)^2 - 12(3) - 141 = 18 - 36 - 141 = -159.

Full solution

More problems from Interpreting Linear Expressions

Related topics