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Dovator [93]
3 years ago
6

Please Help!

Mathematics
2 answers:
cupoosta [38]3 years ago
5 0

Answer:  The correct option is (A) 3(x^2-7).

Step-by-step explanation:  We are given to factorize the following quadratic expression completely :

P(x)=3x^2-21.

To factorize the given expression, first we should take common terms out and then we will continue the process.

The factorization is as follows :

P(x)\\\\=3x^2-21\\\\=3(x^2-7).

Thus, the required factorized form is 3(x^2-7).

Option (A) is correct.

kolbaska11 [484]3 years ago
3 0

Answer:

The fully factored form is 3(x^2 - 7))

Step-by-step explanation:

The only thing you can do with this equation is take out a factor of 3. You cannot simplify the resulting parenthesis without using irrational numbers.

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mel-nik [20]

Answer:

<a=55° ,< b=55° and <c=70°

8 0
2 years ago
For the composite function, identify an inside function and an outside function and write the derivative with respect to x of th
alexira [117]

Answer:

The inner function is h(x)=4x^2 + 8 and the outer function is g(x)=3x^5.

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

Step-by-step explanation:

A composite function can be written as g(h(x)), where h and g are basic functions.

For the function f(x)=3(4x^2+8)^5.

The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.

Here, we have 4x^2+8 inside parentheses. So h(x)=4x^2 + 8 is the inner function and the outer function is g(x)=3x^5.

The chain rule says:

\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)

It tells us how to differentiate composite functions.

The function f(x)=3(4x^2+8)^5 is the composition, g(h(x)), of

     outside function: g(x)=3x^5

     inside function: h(x)=4x^2 + 8

The derivative of this is computed as

\frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=3\frac{d}{dx}\left(\left(4x^2+8\right)^5\right)\\\\\mathrm{Apply\:the\:chain\:rule}:\quad \frac{df\left(u\right)}{dx}=\frac{df}{du}\cdot \frac{du}{dx}\\f=u^5,\:\:u=\left(4x^2+8\right)\\\\3\frac{d}{du}\left(u^5\right)\frac{d}{dx}\left(4x^2+8\right)\\\\3\cdot \:5\left(4x^2+8\right)^4\cdot \:8x\\\\120x\left(4x^2+8\right)^4

The derivative of the function is \frac{d}{dx}\left(3\left(4x^2+8\right)^5\right)=120x\left(4x^2+8\right)^4.

3 0
3 years ago
Can you tell me the answer? E = ?
Travka [436]

Answer:

E=mc^{2}

Step-by-step explanation:

An Albert Einstein iconic math problem.

3 0
3 years ago
Mr. Green washed
olga_2 [115]

Answer:

What was the original number??

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Can anyone help me find the value please?
AURORKA [14]

Answer:

the answer is x=15 cm

Step-by-step explanation:

here the above given figure is a rectangle ABCD with diagonals AC and BD measuring AC= (x+10)cm and BD=(3x-20) cm

Now,

AC=BD

or, 3x-20 = x+10 [ diagonals of a rectangle are equal]

or, 2x = 30

or, x= 15 cm

I HOPE IT WILL HELP YOU!!!

5 0
3 years ago
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