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3 years ago

Find the domain of 5.152x^3-143x^2+1102x-1673

Mathematics

2 answers:

zloy xaker [14]3 years ago

5 0

We have to find the domain of the given function

$f(x)=5.125x^{3}-143x^{2}+1102x-1673$

"The domain of a function is the set of input or argument values for which the function is real and defined"

Now, we have to find the values of 'x' for which the given function will be real and defined.

As we can observe that for any real number, the given function will be real and defined.

Therefore, the domain of the given function is $(-\infty ,+\infty )$ or

$-\infty$ .

Or we can say that the domain of the given function is the set of all real numbers.

Neporo4naja [7]3 years ago

5 0

The domain of any polynomial function is ...
all real numbers.

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The standard form of a line:

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We have the equation of a line in the slope-point form:

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2 years ago

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3 years ago

B: Alex is 12 years older than George.

UkoKoshka [18]

Answer:

The ratio of George age to Carl's age is 1:12.

Step-by-step explanation:

Let the age of George be 'g'.

Let the age of Alex be 'a'.

Also Let the age of Carl be 'c'.

Given:

The sum of their ages is 68.

So equation can be framed as;

$g+a+c=68 \ \ \ \ equation 1$

Also Given:

Alex is 12 years older than George.

So equation can be framed as;

$a =g+12 \ \ \ \ equation \ 2$

Now Given:

Carl is three times older than Alex.

$c=3a$

But $a =g+12$

So we get;

$c = 3(g+12) \\\\c= 3g+36 \ \ \ \ equation \ 3$

Now Substituting equation 2 and equation 3 in equation 1 we get;

$g+a+c=68\\\\g+g+12+3g+36=68\\\\5g+48=68$

Subtracting both side by 48 using subtraction property of equality we get;

$5g+48-48=68-48\\\\5g=20$

Now Dividing both side by 5 using Division property of equality we get;

$\frac{5g}{5}=\frac{20}{5}\\\\g =4$

Hence George age $g = 4 \ years$

Now Alex age $a=g+12 = 4+12 =16\ years$

Also Carl's age $c=3g+36=3\times 4+36 =12+36 =48\ years$

Now we need to find the ratio of George age to Carl's age.

$\frac{g}{c}=\frac{4}{48} = \frac{1}{12}$

Hence the ratio of George age to Carl's age is 1:12.

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3 years ago