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3 years ago

2

Mathematics

1 answer:

Mashutka [201]3 years ago

3 0

Answer:

(f + g)(4) = f(4) + g(4)

Step-by-step explanation:

(f + g)(4) = f(4) + g(4)

___

The notation (f+g)(x) means that the value of f(x) is added to the value of g(x).

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Unit 8 triangles and trigonometry quiz 8-2 please help me with all

Sedbober [7]

Answer:

i think 6

Step-by-step explanation:

hope this helps

5 0

3 years ago

PLEASE HELP What is the radical form of the expression 423 ? 43−−√ 34−−√ 42−−√3 24−−√3

ira [324]

For this case we must express the number "423" in a radical way.

We have to, we can rewrite it as:

$423 = 9 * 47 = 3 ^ 2 * 47$

So, we have to:

$423 = \sqrt {3 ^ 2 * 47}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

So:

$423 = \sqrt {3 ^ 2 * 47} = 3 \sqrt {47}$

Answer:

$3 \sqrt {47}$

8 0

3 years ago

If f(x)=2−x12 and g(x)=x2−9, what is the domain of g(x)÷f(x)?

Keith_Richards [23]

$\bf \begin{cases}
f(x)=2-x^{12}\\
g(x)=x^2-9\\
g(x)\div f(x)=\frac{g(x)}{f(x)}
\end{cases}\implies \cfrac{x^2-9}{2-x^{12}}$

now, for a rational expression, the domain, or "values that x can safely take", applies to the denominator NOT becoming 0, because if the denominator is 0, then the rational turns to undefined.

now, what value of "x" makes this denominator turn to 0, let's check by setting it to 0 then.

$\bf 2-x^{12}=0\implies 2=x^{12}\implies \pm\sqrt[12]{2}=x\\\\
-------------------------------\\\\
\cfrac{x^2-9}{2-x^{12}}\qquad \boxed{x=\pm \sqrt[12]{2}}\qquad \cfrac{x^2-9}{2-(\pm\sqrt[12]{2})^{12}}\implies \cfrac{x^2-9}{2-\boxed{2}}\implies \stackrel{und efined}{\cfrac{x^2-9}{0}}$

so, the domain is all real numbers EXCEPT that one.

4 0

3 years ago

What is the slope of the line represented by the equation @=- 42<br> Slope

MrRa [10]

The slope is 42 in the equation

6 0

3 years ago

A city has a population of 380,000 people. Suppose that each year the population grows by 9%. What will the population be after

olga55 [171]

Answer:

1,068,813

Step-by-step explanation:

Each year, the population is multiplied by 100% + 9% = 1.09. We want to multiply the population by that factor 12 times. An exponent is used to signify (and compute) that repeated multiplication. The population will be ...

380,000 × 1.09^12 ≈ 1,068,812.6 ≈ 1,068,813

4 0

3 years ago