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4 years ago

Solve for x: –3[x - 3] = -6

Mathematics

1 answer:

fomenos4 years ago

4 0

Answer:

x=5 , C

Step-by-step explanation:

-3 ( x - 3 ) = -6

-3x + 9 = -6

-9 -9

-3x = -15

-3x/-3 = -15/-3

x = 5

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Solve the following equation for x.

diamong [38]

Answer:

b -10

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7 0

3 years ago

Read 2 more answers

If f(x) = 5x – 1, then f^-1(x)=

Umnica [9.8K]

Answer:

$\boxed{\sf \ \ \ f^{-1}(x)=\dfrac{x+1}{5} \ \ \ }$

Step-by-step explanation:

hello

f(x)=5x-1

what can we say about $f^{-1}(x) ?$

$(fof^{-1})(x)=x=f(f^{-1}(x))=5f^{-1}(x)-1$

$5f^{-1}(x)-1=x\\ 5f^{-1}(x)-1+1=5f^{-1}(x)=x+1 \ \ \ add \ \ 1\\ f^{-1}(x)=\dfrac{x+1}{5} \ \ \ divide \ \ by \ \ 5$

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6 0

3 years ago

The radius of the large sphere is double the radius of the small sphere. How many times does the volume of the large sphere than

pshichka [43]

Answer:

8 times larger.

Step-by-step explanation:

The radius of the large sphere is double the radius of the small sphere.

Question asked:

How many times does the volume of the large sphere than the small sphere

Solution:

Let radius of the small sphere =  $x$ 

As the radius of the large sphere is double the radius of the small sphere:

Then, radius of the large sphere = $2x$

To find that how many times is the volume of the large sphere than the small sphere, we will divide the volume of large sphere by volume of small sphere:-

For smaller sphere: $Radius = x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi x^{3}$

For larger sphere: $Radius = 2x$

$Volume \ of \ sphere = \frac{4}{3} \pi r^{3}$

$=\frac{4}{3} \pi (2x)^{3}$

Now, we will divide volume of the larger by the smaller one:

$=\frac{4}{3} \pi (2x)^{3}\div\frac{4}{3} \times\frac{\pi }{1 } \times x^{3}\\ \\ =\frac{4}{3} \pi\times8x^{3} \times\frac{3}{4\pi }\ \times\frac{1}{x^{3} }$