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enot [183]
3 years ago
6

Any good strategies/tricks for multiplying decimals?

Mathematics
2 answers:
grin007 [14]3 years ago
5 0
Just multiply normally it pretty easy hope it helped
seraphim [82]3 years ago
3 0
line up your decimals and then multiply like usual, next count how many places after the decimal your problem(s) was and place it to your answer
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I need help with #11
Troyanec [42]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\

\begin{array}{rllll} 
% left side templates
f(x)=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
y=&{{  A}}({{  B}}x+{{  C}})+{{  D}}
\\ \quad \\
f(x)=&{{  A}}\sqrt{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}}(\mathbb{R})^{{{  B}}x+{{  C}}}+{{  D}}
\\ \quad \\
f(x)=&{{  A}} sin\left({{ B }}x+{{  C}}  \right)+{{  D}}
\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks horizontally by  } {{  A}}\cdot {{  B}}\\\\
\bullet \textit{ flips it upside-down if }{{  A}}\textit{ is negative}
\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{ vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{  B}}}
\end{array}

now, with that template in mind, let's take a peek at this function

\bf \begin{array}{lllcclll}
y=&2(&1x&-2)^2&-4\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
A\cdot B=2\impliedby \textit{shrunk by a factor of 2, of half-size}\\\\
\cfrac{C}{B}= \cfrac{-2}{1}\implies -2\impliedby \textit{horizontal right shift of 2 units}\\\\
D=-4\impliedby \textit{vertical down shift of 4 units}

so, the graph of y=2(x-2)²-4, is really the same graph of y=x², BUT, narrower, and moved about horizontally and vertically
8 0
3 years ago
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X=a-2by(2) make y the subject
sladkih [1.3K]

Answer:

y = √{(a - x)/2b}

Step-by-step explanation:

x=a-2by²

2by² = a - x

divide through by 2b

y² = (a - x)/2b

y = √{(a - x)/2b}

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3 years ago
Circle P and circle Q are similar. What is the scale factor which converts P to Q?
andriy [413]

Answer: C

Step-by-step explanation:

To find the scale factor between circle P and circle Q, divide the diameter of circle Q by the diameter of circle P, 4.5 ft÷1.5 ft = 3. The scale factor between circle P and circle Q is 3.

3 0
3 years ago
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Triangle PQR was dilated according to the rule DO,2(x,y)(2x,2y) to create similar triangle P'Q'Q. On a coordinate plane, (0, 0)
Readme [11.4K]

Answer:

1 and 4

Step-by-step explanation:

Ed2020

8 0
3 years ago
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Which is greater, 35% of 60 or 30% of 80?
lara [203]
35% of 60 = (35/100)*60 = 0.35 * 60 = 21

30% of 80 = (30/100)*80 = 0.30 * 80 = 24

24 is greater than 21.

30% of 80 is greater.

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3 years ago
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