2 years ago

On a drawing of a model airplane, the scale used is 1 in.:3 ft. How many feet would 4.5 inches represent?

Mathematics

1 answer:

AnnyKZ [126]2 years ago

6 0

Answer:

A. 13.5ft

Step-by-step explanation:

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Suppose that you construct a histogram and a relative frequency histogram corresponding to a particular frequency table. Identif

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What number should be added to 7/12 to get 4/15?

DENIUS [597]

Answer:

Step-by-step explanation:

Let the number = x.

We are trying to find out what number (x) we would need to add to 7/12 to get 4/15

$\frac{7}{12} + x = \frac{4}{15}$

Subtract 7/12 from both sides.

$x = \frac{4}{15} - \frac{7}{12}$

We need to make the denominators of the fractions the same.

$\frac{4}{15} = \frac{16}{60}$

$\frac{7}{12} = \frac{35}{60}$

So,

$x = \frac{16}{60} - \frac{35}{60} = - \frac{19}{60}$

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2 years ago

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

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2 years ago