Which number line represents the number 0.7? A. B. C. D.

Mathematics

2 answers:

BabaBlast [244]3 years ago

3 0

Answer: c

Step-by-step explanation: it is seven lines up and three away from 1 making it 0.7

Elena L [17]3 years ago

3 0

Answer:

Step-by-step explanation:

.7 = 7/10

This is a number between 0 and 1

The only graph with a point between 0 and 1 is C

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Which function transforms the graph of y=x^2 so that it is first shifted down 4 units and is then reflected across the y-axis?

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

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

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

with that template in mind, let's check,

down 4 units, D = -4

flipped over the y-axis, B = -1

$\bf y=x^2\implies y=\stackrel{A}{1}(\stackrel{B}{1}x\stackrel{C}{+0})^2\stackrel{D}{+0}\qquad \qquad \stackrel{shifted}{y=\stackrel{A}{1}(\stackrel{B}{-1}x\stackrel{C}{+0})^2\stackrel{D}{-4}}
\\\\\\
y=-x^2-4$

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3 years ago

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Neko [114]

Step-by-step explanation:

-2 $\frac{2}{3}$