2 years ago

Factor 7x^3+28x^2+21x

Mathematics

1 answer:

jarptica [38.1K]2 years ago

3 0

Answer:

7x (x + 1 ) ( x + 3 )

Step-by-step explanation:

7x³ +28x² +21x

7x ( x² + 4x + 3 )

7x [ x² + 1x + 3x + 3 ]

7x [ x ( x + 1 ) + 3 ( x + 1 ) ]

7x (x + 1 ) ( x + 3 )

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2 years ago

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Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jacki

Ksju [112]

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88$

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08$