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Makovka662 [10]

2 years ago

8

Amelia enjoys running and often runs at a steady pace. At this pace, Amelia can run 50 yards in 12 seconds. What is Amelia's uni

t rate? What is the rate unit?

1 answer:

valentinak56 [21]2 years ago

7 0

Answer:

4.16

Step-by-step explanation:

50/12

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Serggg [28]

Answer:

Step-by-step explanation:

4 0

2 years ago

F(x) = x2 – 3x – 2 is shifted 4 units left. The result is g(x). What is g(x)?

Ray Of Light [21]

$\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... your expression is not in vertex form, that's ok... to do a horizontal shift to the left by 4 units, we can simply, add the C and B component to the "x" variable, C=4, B =1, that way the horizontal shift of C/B or 4/1 is just +4, giving us a horizontal shift to the left

$\bf f(x)=x^2-3x-2\impliedby \textit{let's change that for }f(1x+4)
\\\\\\
f(1x+4)=(1x+4)^2-3(1x+4)-2
\\\\\\
f(x+4)=x^2+8x+16-3x-12-2
\\\\\\
f(x+4)=x^2-5x+2\impliedby g(x)$

8 0

2 years ago

Read 2 more answers

There are 18 books on the summer reading list. In how many different ways can you choose one per week for 8 weeks?

Travka [436]

There are 8 weeks and 18 books. therefore you would multiply these numbers together.
the answer would be 144 different combinations.

not sure about the permutation or combination notation, but I got you on the first part!

5 0

3 years ago

Can someone pls help me

Kipish [7]

Answer:

C

Step-by-step explanation:

9x² - 4 $y^{6}$

can be factored as a difference of squares , that is

(U + V)(U - V)

9x² - 4 $y^{6}$ = (3x)² - (2y³)²

with U = 2x and V = 2y³

8 0

2 years ago

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Help me, please<br> Which statement is true about the following pair of rectangles?

miv72 [106K]

Answer:

C

Step-by-step explanation:

$\frac{27}{33} = \frac{9}{11}$

5 0

2 years ago