Which model represents the factors of 4x2 – 9?

Mathematics

2 answers:

Gemiola [76]3 years ago

8 0

4x^2-9

(2x+3)(2x-3)

To verify use distributed

2x(2x) +2x(-3)+3(2x)+3(-3)

4x^2-6x+6x-9

4x^2+0-9

4x^2-9

Ganezh [65]3 years ago

3 0

Answer:

It is C I took the quiz

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A fudge recipe calls for 2 1/3 cups of flour for every 3/4 cups of cocoa powder. Could you increase the recipe proportionately b

ryzh [129]

same as before, is the proportion of one, the same as the other? let's do the same here without much fuss.

$\bf \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}}
~\hfill
\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}}$

$\bf \stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
\cfrac{~~2\frac{1}{3}~~}{\frac{3}{4}}=\cfrac{~~4\frac{2}{3}~~}{1\frac{1}{2}}\implies \cfrac{~~\frac{7}{3}~~}{\frac{3}{4}}=\cfrac{~~\frac{14}{3}~~}{\frac{3}{2}}\implies \cfrac{7}{3}\cdot \cfrac{4}{3}=\cfrac{14}{3}\cdot \cfrac{2}{3}\implies \cfrac{28}{9}=\cfrac{28}{9}~~\textit{\Large \checkmark}$