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3 years ago

If (he)={(0,1),(2,3),(-4,1)}, find h^-1(x)

Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

The given function is

$h(x) = \{ (0,1), (2,3), (-4, 1) \}$

The inverse function is

$h^{-1}(x) = \{ (1,0), (3,2), (1,-4)\}$

To get the inverse, we swap each x and y coordinate.

The rule is $(x,y) \to (y,x)$

So that's why the point (0,1) becomes (1,0) for instance.

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Graph y = 4x + 2 where is it grqphed at

cestrela7 [59]

Starting point: (0, 2) and can go to (1, 6).
This shows the slope and y-intercept. Hope this helps.

5 0

3 years ago

The sum of 8 times a number 4 and 5 equals .

Tema [17]

Answer:

Step-by-step explanation:

This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:

"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.

That is "8 times a number 4" and "5"

Therefore, we need to add 2 groups:

(8*4) + (5)

Now, we simply use PEMDAS (or GEMDAS) to solve the expression:

(8*4) + (5)

= (32) + (5)

= 32 + 5

= 37

5 0

3 years ago

Five times a number subtracted from 18 is triple the number find the number

Bess [88]

The number is 18

hope this helps

4 0

3 years ago

the pitch, or frequency, of a vibrating string varies directly with the square root of the tension. if a string vibrates at a fr

Naily [24]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\
\begin{array}{llll}
\stackrel{frequency}{f}\textit{ of a vibrating string varies directly}\\
\qquad \qquad \textit{with the square root of the tension }\stackrel{tension}{t}
\end{array}$

$\bf f=k\sqrt{t}\quad \textit{we also know that }
\begin{cases}
f=300\\
t=8
\end{cases}\implies 300=k\sqrt{8}
\\\\\\
\cfrac{300}{\sqrt{8}}=k\implies \cfrac{300}{\sqrt{2^2\cdot 2}}=k\implies \cfrac{300}{2\sqrt{2}}=k\implies \cfrac{150}{\sqrt{2}}=k
\\\\\\
\textit{and we can \underline{rationalize} it to }\cfrac{150\sqrt{2}}{2}\implies 75\sqrt{2}=k$

$\bf thus\qquad f=\stackrel{k}{75\sqrt{2}}\sqrt{t}\implies \boxed{f=75\sqrt{2t}}\\\\
-------------------------------\\\\
\textit{now, when t = 72, what is \underline{f}?}\qquad f=75\sqrt{2(72)}$

5 0

3 years ago

Read 2 more answers

Which line is perpendicular to the line y=-1/3x-2 and passes through point (1,4)

xxMikexx [17]

Answer:

Option 3) y = 3x+1

Step-by-step explanation:

Given equation is:

y = $-\frac{1}{3} x -2$