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2 years ago

Which function has an inverse that is a function?

Mathematics

1 answer:

fredd [130]2 years ago

7 0

Answer:

m(x)

Step-by-step explanation:

they would have to pass the horizontal line test and the vertical line test for both the origional and the inverse.

b(x) does not pass the horizontal line test in any of the y values over 3

d(x) does not pass the horizontal line test for y=-9

p(x) does not pass the horizontal line test for positive y values

and m(x) has only one corresponding x value for every y value

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Please solve it CORRECTLY step by step asap

Lorico [155]

Answer:

$Product = \frac{3}{5}ab$

Step-by-step explanation:

Given

$-\frac{3}{7}a$

$-\frac{21}{15}b$

Required

The product

The product is:

$Product = -\frac{3}{7}a * -\frac{21}{15}b$ '

Cancel out the negative signs

$Product = \frac{3}{7}a * \frac{21}{15}b$

Simplify fractions

$Product = \frac{1}{7}a * \frac{21}{5}b$

$Product = \frac{1}{1}a * \frac{3}{5}b$

$Product = \frac{3}{5}ab$

6 0

2 years ago

Find the linear inequality & show it on a number line:<br> 5(x-3) < 20

IRINA_888 [86]

Answer:

Step-by-step explanation:

5(x-3)<20

5x-15<20

5x<35

x<7

6 0

2 years ago

Adjacent angles have no common interior points. A.)Always. B.)Sometimes. C.)Never

irina [24]

The actual answer is "always", as adjacent angles have no common interior points under any circumstances. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that you were looking for and it has come to your help.

6 0

2 years ago

Read 2 more answers

A circle has the order pairs (-1, 2) (0, 1) (-2, -1) what is the equation . Show your work.

olga55 [171]

We know that:

$(x-a)^2+(y-b)^2=r^2$

is an equation of a circle.

When we substitute x and y (from the pairs we have), we'll get a system of equations:

$\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}$

and all we have to do is solve it for a, b and r.

There will be:

$\begin{cases}(-1-a)^2+(2-b)^2=r^2\\(0-a)^2+(1-b)^2=r^2\\(-2-a)^2+(-1-b)^2=r^2\end{cases}\\\\\\
\begin{cases}1+2a+a^2+4-4b+b^2=r^2\\a^2+1-2b+b^2=r^2\\4+4a+a^2+1+2b+b^2=r^2\end{cases}\\\\\\
\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\\\\\
$

From equations (II) and (III) we have:

$\begin{cases}a^2+b^2-2b+1=r^2\\a^2+b^2+4a+2b+5=r^2\end{cases}\\--------------(-)\\\\a^2+b^2-2b+1-a^2-b^2-4a-2b-5=r^2-r^2\\\\-4a-4b-4=0\qquad|:(-4)\\\\\boxed{-a-b-1=0}$

and from (I) and (II):

$\begin{cases}a^2+b^2+2a-4b+5=r^2\\a^2+b^2-2b+1=r^2\end{cases}\\--------------(-)\\\\a^2+b^2+2a-4b+5-a^2-b^2+2b-1=r^2-r^2\\\\2a-2b+4=0\qquad|:2\\\\\boxed{a-b+2=0}$

Now we can easly calculate a and b:

$\begin{cases}-a-b-1=0\\a-b+2=0\end{cases}\\--------(+)\\\\-a-b-1+a-b+2=0+0\\\\-2b+1=0\\\\-2b=-1\qquad|:(-2)\\\\\boxed{b=\frac{1}{2}}\\\\\\\\a-b+2=0\\\\\\a-\dfrac{1}{2}+2=0\\\\\\a+\dfrac{3}{2}=0\\\\\\\boxed{a=-\frac{3}{2}}$

Finally we calculate $r^2$ :

$a^2+b^2-2b+1=r^2\\\\\\\left(-\dfrac{3}{2}\right)^2+\left(\dfrac{1}{2}\right)^2-2\cdot\dfrac{1}{2}+1=r^2\\\\\\\dfrac{9}{4}+\dfrac{1}{4}-1+1=r^2\\\\\\\dfrac{10}{4}=r^2\\\\\\\boxed{r^2=\frac{5}{2}}$

And the equation of the circle is:

$(x-a)^2+(y-b)^2=r^2\\\\\\\left(x-\left(-\dfrac{3}{2}\right)\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}\\\\\\\boxed{\left(x+\dfrac{3}{2}\right)^2+\left(y-\dfrac{1}{2}\right)^2=\dfrac{5}{2}}$

7 0

3 years ago

It takes approximately 4.65 quarts of milk to make a pound of cheese. Express this amount as a mixed number in simplest form.

ikadub [295]

The correct answer would be 4 and 13/20

4 0

2 years ago