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2 years ago

Three whole numbers are each rounded to the nearest 10

Mathematics

1 answer:

Aloiza [94]2 years ago

5 0

9514 1404 393

Answer:

Step-by-step explanation:

The maximum whole number that will round to 10 is 14, that is, it may be 4 more than the nearest 10.

If all three numbers are 4 more than the nearest 10, their maximum sum will be 12 more than the sum of the rounded numbers.

For example, consider the numbers 34, 34, 24. These have a sum of 92. When rounded to the nearest 10, their values are 30, 30, 20, which have a sum of 80.

The maximum sum of the three original whole numbers is 92.

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Suppose f (x) = x^2. Find the graph of f(x+2)

NISA [10]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
~~~~y={{ A}}({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)={{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\\\
f(x)={{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
~~~~~~\textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
~~~~~~if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
~~~~~~if\ {{ D}}\textit{ is negative, downwards}\\\\
~~~~~~if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind,

$\bf f(x)=x^2\qquad \quad f(x+2)=(x+2)^2\implies f(x+2)=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+2})^2\stackrel{D}{+0}$

C = 2 B = 1 C/B = 2/1 or +2, horizontal left shift of 2 units

f(x) shifted left by 2 units is f(x+2).

8 0

2 years ago

Which decimal is larger 36.36 or 36.63 PLEASE HELP!!

Alexeev081 [22]

36.36 is thirty-six and thirty-six hundredths.
36.63 is thirty-six and sixty-three hundredths.

The whole parts are the same. They are both 36.
The decimal parts are 0.63 and 0.36.
Sixty-three hundredths is greater than thirty-six hundredths.
Since 0.63 is greater than 0.36, 36.63 is greater.

7 0

2 years ago

PLZ HELP IM DESPERATE

maw [93]

Answer:

Step-by-step explanation:

Personally I think that cultures who listen to more music, and strictly forbid other kinds of music, are cultures that would more influence this.

I don't know if this is what you were looking for, but have an amazing day either way!

8 0

2 years ago

....Help Please.......

Marina CMI [18]

Answer:

The first two tables show y as a function of x.

Step-by-step explanation:

A relation is <em>not a function</em> if the same x-value shows up more than once in the table. That will be the case for the last two tables, each of which has x=2 show up twice.

4 0

2 years ago

What is the surface area of the pyramid?

xxMikexx [17]

Answer:

B.) 166

Step-by-step explanation:

10 x 2 = 20

12 x 10 = 120

13 x 2 = 26

20 + 120 + 26 = 166

8 0

2 years ago

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