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eimsori [14]
3 years ago
9

Two quantites, x and y, are directly proportional. if x is halved, what happened to y?

Mathematics
2 answers:
Vlad [161]3 years ago
5 0

If x and y are proportional x halved=y halved

Tpy6a [65]3 years ago
5 0

\bf \qquad \qquad \textit{direct proportional variation}
\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}
\\\\[-0.35em]
\rule{34em}{0.25pt}\\\\
x=\cfrac{x}{2}~\hspace{7em}y=k\cdot \cfrac{x}{2}\implies y=\cfrac{kx}{2}\implies \stackrel{doubled}{\stackrel{\downarrow }{2y}=kx}

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Evaluate inverse functions <br><br> Find the following values f^-1(f(3.14)) <br> F(f(-7))
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Answer:

1. 3.14

Step-by-step explanation:

If we have

f {}^{ - 1} (f(x)

That just equals

x

For example, consider function

f(x) = 2 {}^{x}

The inverse of that function is

y = 2 {}^{x}

x = 2 {}^{y}

log_{2}(x)  =  log_{2}(2 {}^{y} )

log_{2}(x)  = y

So

f {}^{ - 1} (x) =  log_{2}(x)

If we compose the function, f(x) into f^-1(x).

We get

log_{2}(2 {}^{x})  = x

That proof of that.

1. Here x=f^-1(3.14)and f(3.14) cancel out so the answer is 3.14

2. We first find f(-7) which is -12,

We then find f(-12)= 5 so the answer here is 5.

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How to solve the x and y intercepts
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WARRIOR [948]

coordinates of endpoint A are (-7,12)

Step-by-step explanation:

We are given midpoint B (x,y)  =(-3,5)

One endpoint C (x₂,y₂)= (1,-2)

We need to find other endpoint A (x₁,y₁).

The formula to find midpoint is:

x=\frac{x_{1}+x_{2}}{2}\\y=\frac{y_{1}+y_{2}}{2}

We can find the coordinates of endpoint A using these formula.

We have x=-3, x₁=? and x₂= 1

Putting values and finding x₁

x=\frac{x_{1}+x_{2}}{2}\\-3=\frac{x_{1}+1}{2}\\-6=x_{1}+1\\-6-1=x_{1}\\x_{1}=-7

Now, y=5, y₁=? and y₂= -2

y=\frac{y_{1}+y_{2}}{2}\\5=\frac{y_{1}+-2}{2}\\5*2=y_{1}+-2\\10=y_{1}+-2\\10+2=y_{1}\\y_{1}=12

SO, coordinates of endpoint A are (-7,12)

Keywords: Midpoint of line segment

Learn more about Midpoint of line segment at:

  • brainly.com/question/10480770
  • brainly.com/question/11015073
  • brainly.com/question/3269852

#learnwithBrainly

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