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3 years ago

7.2 7.21 7.083 least to greatest

Mathematics

1 answer:

Irina18 [472]3 years ago

6 0

Answer:

7.083,7.2,7.21

Step-by-step explanation:

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Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantit

Elena L [17]

Answer:

$(- \infty, 2), (2, \infty)$

Step-by-step explanation:

Given the function:

$f(x) = \dfrac{x+1}{x-2}$

To find:

Domain of the function.

Solution:

First of all, let us learn about definition of domain of a function.

Domain of a function is the valid input values that can be provided to the function for which output is defined.

Domain of a function $f(x)$ are the values of $x$ for which the output $f(x)$ is a valid value.

i.e. The function does not tend to $\infty$ or does not have $\frac{0}0$ form.

So, we will check for the values of $x$ for which $f(x)$ is not defined.

For value to tend to $\infty$ , denominator will be 0.

$x-2\neq 0 \\\Rightarrow x \neq 2$

So, the domain can not have x = 2

Any other value of x does not have any undefined value for the function $f(x)$ .

Hence, the answer is:

$\bold{(- \infty, 2), (2, \infty)}$ [2 is not included in the domain].

7 0

4 years ago

The table shows the average weight of animals. How many more tons does a blue whale weigh than an African elephant? Explain how

AVprozaik [17]

Answer:

The African elephant weighs <u>111.5 tons</u> less than a blue whale.

Step-by-step explanation:

Given:

Animal Weight(pounds)

African Elephant 15,000

Blue Whale 238,000

Now, to find the weight of how more tons does a blue whale weigh than an African elephant.

As given, 1 ton = 2,000 pounds.

So, to convert the weight from pound to tons by dividing:

African elephant $=15000\div 2000=7.5\ tons.$

Blue whale $=238000\div 2000=119\ tons.$

Now, to get the weight of how more tons is blue whale weigh than an African elephant we subtract:

$Blue\ whale - African\ elephant$

$=119 tons-7.5tons$

$=111.5\ tons$

Therefore, the African elephant weighs 111.5 tons less than a blue whale.

8 0

3 years ago

A cube-shaped art sculpture has a volume of 64 cubic

trasher [3.6K]

Answer:

4 ft

Step-by-step explanation:

The volume of a cube of side length s is V = s^3. Solving for s^3, we get:

s^3 = V, and so s = ∛V

In this case, with V = 64 ft³, the desired side length is

s = ∛(64 ft³) = 4 ft

4 0

4 years ago

Let S be the surface z^2+x^2=1 with -17<=y<=7. Find a parameteriztion of the surface using the polar coordinates transform

julsineya [31]

The parameterization is already given to you, you just need to determine the domain for each parameter. $z^2+x^2=1$ is a cylinder that lies on the $y$ -axis with radius 1. You need to take $0\le v\le2\pi$ to get the entire lateral face, and $-17\le u\le7$ .