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Anestetic [448]
3 years ago
11

Simplify the following radical Sqrt 126x^13

Mathematics
1 answer:
fenix001 [56]3 years ago
3 0

Answer:

\large\boxed{\sqrt{126x^{13}}=3x^6\sqrt{14x}}

Step-by-step explanation:

Domain:\ x\geq0\\\\\sqrt{126x^{13}}=\sqrt{9\cdot14\cdot x^{12+1}}\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=\sqrt{9\cdot14\cdot x^{12}\cdot x^1}=\sqrt{9\cdot14\cdot x^{6\cdot2}\cdot x}\\\\\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{and}\ (a^n)^m=a^{nm}\\\\=\sqrt9\cdot\sqrt{14}\cdot\sqrt{(x^6)^2}\cdot\sqrt{x}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=3\cdot\sqrt{14}\cdot x^6\cdot\sqrt{x}=3x^6\sqrt{14x}

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Vladimir79 [104]
Which ever expression is 3x + 21 + 10 ..... 21 + 10 = 31 .... So it'll be 3x + 31 .
8 0
3 years ago
What is the value of x in the equation 8x – 2y = 48, when y = 4?
Phoenix [80]
Hey there!

So, if y=(4), this would mean that we would do (2 \ * \ 4) and from this, we would get 8. 

We will then need to find what is (x).

(x) = 7

8*7 = \boxed{56}

So, the equation would really look like . . .

\left[\begin{array}{ccc} 8*(7)-2*4 = 48 \\ \\ x=\boxed{7}\end{array}\right]

Hope this helps.
~Jurgen
8 0
3 years ago
Given f(x) = 3x^3+ kx – 11, and x – 1 is a factor of f(x), then what is the value<br> of k?
STatiana [176]

let's recall the remainder theorem.

we know that (x-1) is a factor, that means x -1 = 0 or x = 1.

since we know that (x-1) is a factor, then dividing the polynomial by it will give us a remainder of 0, which correlates with saying that f(1) = 0, in this case, so we can simply plug in "1" as the argument, knowing it gives 0.

f(x)=3x^3+kx-11\\\\[-0.35em]~\dotfill\\\\\stackrel{0}{f(1)}=3(1)^3+k(1)-11\implies \stackrel{f(1)}{0}=3+k-11\implies 0=-8+k\implies 8=k

7 0
2 years ago
Nine friends share 8 bags of trail mix equally.what fraction of a bag of trail mix does each friend get?
kodGreya [7K]

Answer:

By doing 3 divided by 5, you will get 3/5 of trail mix per person.

Step-by-step explanation:

4 0
3 years ago
3p + 7 = -4(4 - 6p) + 2
zvonat [6]

p=1

Step-by-step explanation:

3p + 7 =  - 4(4 - 6p) + 2 \\ 3p + 7 =  - 16 + 24p + 2 \\ 3p - 24p =  - 16 + 2 - 7 \\  - 21p =  - 21

\frac{ - 21p}{ - 21}  =  \frac{ - 21}{ - 21}  \\ p = 1

3 0
3 years ago
Read 2 more answers
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