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djyliett [7]
2 years ago
8

Find the difference quotient, f(x)=3x^2+8x+3x PLease show your work in your answer

Mathematics
1 answer:
ivolga24 [154]2 years ago
8 0
If you mean (x^3-8x)-(3x-2) then: 
<span>1) leave the (x^3-8x) part alone and use the distributive property on the -(3x-2). </span>
<span>2) your question now becomes x^3-8x-3x+2 </span>
<span>3) combine the like terms: x^3-11x+2</span>
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we have that

300 + 150 + 75 +...

Let

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\frac{a2}{a1} =\frac{150}{300} \\\\ \frac{a2}{a1}=0.5 \\ \\ a2=a1*0.50

\frac{a3}{a2} =\frac{75}{150} \\\\ \frac{a3}{a2}=0.5 \\ \\ a3=a2*0.50

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Alternative Method

Applying the formula

S_n=\frac{a_1 (1-r^n)}{1-r} \\\\a_1=300 \\ r=\frac{1}{2}\\\\ S_5=\frac{300(1-(\frac{1}{2})^5)}{1-\frac{1}{2}}\\\\=\frac{300(1-\frac{1}{32})}{\frac{1}{2}}\\\\=\frac{300 \times \frac{31}{32}}{\frac{1}{2}}\\\\=\frac{75 \times \frac{31}{8}}{\frac{1}{2}}\\\\=\frac{\frac{2325}{8}}{\frac{1}{2}}\\\\=\frac{2325}{8} \times 2\\\\=\frac{2325}{4}\\\\=581 \frac{1}{4}\\\\=581.25

therefore

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581.25

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