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3 years ago

Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day

Mathematics

1 answer:

fiasKO [112]3 years ago

4 0

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Describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x

tester [92]

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

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

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

with that template in mind, let's check these two

$\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\
-------------------------------\\\\
B=2\qquad \textit{shrinks horizontally by }\frac{1}{2}
\\\\\\
C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5
\\\\\\
D=-3\qquad \textit{vertically down-shifted by }3$

7 0

3 years ago

Is 85/95 greater than 64/76

madam [21]

85/95 is equal to 0.8947
64/76 is equal to 0.842
Therefore, 85/95 is greater

5 0

3 years ago

Which of the following functions is not a sinusoid?

Nezavi [6.7K]

A sinusoid is cyclical and has a period or frequency.

y = sin x is a sinusoid, with a period of 2π.
y = √x is not a sinusoid.
y = cos x is a sinusoid with a period of 2π.

Answer: y = √x is not a sinusoid.

8 0

4 years ago

Read 2 more answers

What is the m<2 = ?

Anettt [7]

Answer:

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What is the value of h?

algol [13]

The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...

3h + 18 + 15h = 180

Combine like terms

18h + 18 = 180

Subtract 18 to both sides

18h + (18 -18) = 180 - 18

18h = 162

Isolate h by dividing 18 to both sides

18h/18 = 162 /18

h = 9

Hope this helped!

8 0

3 years ago

Read 2 more answers

Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day​

Two pizza delivery drivers compared the mean numbers of deliveries they completed in one day