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2 years ago

You roll a number cube. You roll a number that is greater than 2 but less than 5.

1 answer:

7 0

The possible number you rolled is 3 and 4
The number you rolled must the larger than 2 which is 3, 4, 5, 6, on a cube, but it must be less than five so the possible number is 3 and 4.

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. Find the inverse of the function below on the given interval and write it in the form yequalsf Superscript negative 1 Baseline

Elena L [17]

Answer:

The inverse of the function is $f^{-1}(x)=\frac{x-5}{3}$ .

Step-by-step explanation:

The function provided is:

$f (x)=3x+5$

Let $f(x)=y$ .

Then the value of <em>x</em> is:

$y=3x+5\\\\3x=y-5\\\\x=\frac{y-5}{3}$

For the inverse of the function, $x\rightarrow y$ .

⇒ $f^{-1}(x)=\frac{x-5}{3}$

Compute the value of $f[f^{-1}(x)]$ as follows:

$f[f^{-1}(x)]=f[\frac{x-5}{3}]$

$=3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x$

Hence proved that $f[f^{-1}(x)]=x$ .

Compute the value of $f^{-1}[f(x)]$ as follows:

$f^{-1}[f(x)]=f^{-1}[3x+5]$

$=\frac{(3x+5)-5}{3}\\\\=\frac{3x+5-5}{3}\\\\=x$

Hence proved that $f^{-1}[f(x)]=x$ .

8 0

2 years ago

13+y =40<br> explain how the equal sign is use to balance this equation

seropon [69]

Answer:

Y = 27.

Step-by-step explanation:

40 - 13 = 27. If we check our math 13 +27 does equal 40 making the equation correct.

5 0

2 years ago

How long will it take Carlos to walk 16 miles if he is walking 4 mph?

qwelly [4]

It will take Carlos 4 hours to walk 16 miles.

8 0

2 years ago

GIVING BRAINLIEST PLEASE HELP!!

barxatty [35]

Answer:

d. hope I get it right I never got brainliest

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

The point (8,-4) lies on a circle. What is the length of the radius of this circle if the center is located at (5,-7)

Kamila [148]

Notice the picture, the radius is just the distance from the
center to a point on the circle, thus

$\bf \textit{distance between 2 points}\\ \quad \\\\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{5}}\quad ,&{{ -7}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ -4}})
\end{array}\qquad 
% distance value
\\\\\\
\begin{array}{llll}
d = &\sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}$

$\bf \begin{array}{llll}
d = &\sqrt{({{ 8}}-{{ 5}})^2 + ({{ -4}}-{{(-7)}})^2}\\
&\qquad \uparrow \\
&radius
\end{array}
\\\\\\
d=\sqrt{(3)^2+(-4+7)^2}\implies d=\sqrt{3^2+3^2}\implies d=\sqrt{18}
\\\\\\
d=\sqrt{9\cdot 2}\implies d=\sqrt{3^2\cdot 2}\implies d=3\sqrt{2}$

4 0

3 years ago