Westonci.ca is the Q&A platform that connects you with experts who provide accurate and detailed answers. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
Hello! First, let's write some important information contained in the exercise:
number of items: h(x) = 0.42x² + 0.3x + 4
cost per item: r(x) = −0.005x² − 0.2x + 7
total cost: q(x) = h(x) * r(x)
Obs: the total cost is the product of the number of items and the cost per item, so we can write it as q(x) = h(x) * r(x), right?
So, let's calculate q(x) below:
[tex]\begin{gathered} q\mleft(x\mright)=h\mleft(x\mright)\cdot r\mleft(x\mright) \\ q(x)=(0.42x^2+0.3x+4)\cdot(-0.005x^{2}-0.2x+7) \\ q(x)=0.42x^2\cdot(-0.005x^2-0.2x+7)+0.03\cdot(-0.005x^2-0.2x+7)+4\cdot(-0.005x^2-0.2x+7) \end{gathered}[/tex][tex]\begin{gathered} q(x)=0.42x^2\cdot(-0.005x^2-0.2x+7)+0.03\cdot(-0.005x^2-0.2x+7)+4\cdot(-0.005x^2-0.2x+7) \\ q(x)=-0.0021x^4-0.084x^3+0.3x+0.03\cdot(-0.005x^2-0.2x+7)+4\cdot(-0.005x^2-0.2x+7) \\ q(x)=-0.0021x^4-0.084x^3+0.3x-0.0015x^3-0.06x^2+2.1x+4\cdot(-0.005x^2-0.2x+7) \\ q(x)=-0.0021x^4-0.084x^3+0.3x-0.0015x^3-0.06x^2+2.1x-0.02x^2-0.8x+28 \end{gathered}[/tex][tex]\begin{gathered} \text{ putting similar terms in evidence:} \\ q(x)=-0.0021x^4-0.0855x^3+2.86^2+1.3x+28 \end{gathered}[/tex]So, multiplying h(x) by r(x) we will obtain the polynomial q(x) = -0.0021x^4-0.0855x^3+2.86^2+1.3x+28
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.
