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3 years ago

14

Antonia participated in a run-a-thon and raised $265 for her school. She received $25 in donations and an additional $8 for ever

y lap she ran. How many laps did Antonia run?

1 answer:

SIZIF [17.4K]3 years ago

5 0

Answer:

30

Step-by-step explanation:

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Molly had already read 6 books this year before joining a book club, and she plans to read 3 books every month now that she has

tatuchka [14]

Answer:

12 months

Step-by-step explanation:

Given data:

Before joining club 6 books read

3 books every month

total books read 42

books read after joining the club = 42 - 6

books read after joining the club = 36

Months she has in book club = 36/3

Months she has in book club = 12 months

7 0

3 years ago

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

Read 2 more answers

"The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following coul

SpyIntel [72]

G(x)=x²
The graph has moved to the right 4 units, therefore the new graph will be:
H(x)=(x-4)²

It has also move 4 units up, therefore the new graph will be:
F(x)=(x-4)²+4

Answer:
F(x)=(x-4)²+4

5 0

3 years ago

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Describe the end behavior of a polynomial with a quadratic term with a negative coefficient and a linear term with a positive co

iogann1982 [59]

Answer: I think it’s A

Step-by-step explanation:

3 0

2 years ago

Write a calculation and a result that<br> represents a number that is 5 greater than 3.

Phantasy [73]

Answer:

x + 5 > 3

-5 -5

x < -2

3 0

3 years ago

Read 2 more answers