Question

The equation C(l) = l3 – l2 + l + 2.5 models the cost to mail a package as a function of its length. To the nearest quarter inch, approximately what is the length of a package that costs $11.00 to mail? Enter your answer as a decimal.
inches

Answer 1

Answer:

Step-by-step explanation:

Set the cost equation C(l) = l3 – l2 + l + 2.5 equal to $11.00 and solve for l:

                                     C(l) = 2l + 2.5 = $11, or

                                               2l = 8.5, or l = length = 4.25 inches

Answer 2

The length is 2.243 inches

What is cubic Formula?

A cubic equation in algebra is a one-variable equation of the form $ax^{3} +bx^{2} +cx+d=0$ where an is nonzero. The roots of the cubic function defined by this equation's left side are the answers to this equation.

Let's solve your equation step-by-step.

$l^{3} -l^{2} +l+2.5=11$

Step 1: Subtracting 11 from both sides.

$l^{3} -l^{2} +l+2.5-11=11-11$

$l^{3}-l^{2} +l-8.5=0$

Step 2: Using cubic formula.

l=2.243293

Therefore, The length is 2.243 inches

To learn more about cubic formula refer to :

https://brainly.com/question/11421825

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