Chapter 5: Q.72 (page 499)

The polynomial $C (x) = 6 x^{2} + 90 x$ gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side $x$ feet and height $4$ feet. Find the cost of producing a box with $x = 6$ feet.

Short Answer

Expert verified

The cost of producing a box with $x = 6$ is $756$ .

Step by step solution

Step 1. Given Information

The polynomial $C (x) = 6 x^{2} + 90 x$ gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side $x$ feet and height $4$ feet.

We find the cost of producing a box with $x = 6$ feet.

Step 2. The given polynomial function is C(x) = 6x2 + 90x

The function is $C (x) = 6 x^{2} + 90 x$

putting $x = 6$

$C (6) = 6 {(6)}^{2} + 90 \times 6 C (6) = 6 \times 36 + 90 \times 6 C (6) = 216 + 540 C (6) = 756$

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The polynomial $C (x) = 6 x^{2} + 90 x$ gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side $x$ feet and height $4$ feet. Find the cost of producing a box with $x = 6$ feet.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The given polynomial function is C(x) = 6x2 + 90x

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The polynomial C(x)=6x2+90xgives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side xfeet and height 4feet. Find the cost of producing a box with x=6feet.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. The given polynomial function is C(x) = 6x2 + 90x

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Statistics

Discrete Mathematics

Applied Mathematics

Theoretical and Mathematical Physics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

The polynomial $C (x) = 6 x^{2} + 90 x$ gives the cost, in dollars, of producing a rectangular container whose top and bottom are squares with side $x$ feet and height $4$ feet. Find the cost of producing a box with $x = 6$ feet.