We know that x^m * x^n = x^( m + n ).
And the seventh root of x to the fifth power is:
![\sqrt[7]{ x^{5} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%7D%20)
Therefore:
![\sqrt[7]{ x^{5} } * \sqrt[7]{ x^{5} } = \\ = \sqrt[7]{ x^{5} * x^{5} }= \\ = \sqrt[7]{ x^{10} }= \sqrt[7]{ x^{7} }* \sqrt[7]{ x^{3} }=x* \sqrt[7]{ x^{3} }](https://tex.z-dn.net/?f=%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%7D%20%2A%20%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%7D%20%3D%20%5C%5C%20%3D%20%5Csqrt%5B7%5D%7B%20x%5E%7B5%7D%20%2A%20x%5E%7B5%7D%20%7D%3D%20%5C%5C%20%3D%20%5Csqrt%5B7%5D%7B%20x%5E%7B10%7D%20%7D%3D%20%5Csqrt%5B7%5D%7B%20x%5E%7B7%7D%20%7D%2A%20%5Csqrt%5B7%5D%7B%20x%5E%7B3%7D%20%7D%3Dx%2A%20%5Csqrt%5B7%5D%7B%20x%5E%7B3%7D%20%7D%20%20%20%20%20)
Answer:
D ) x times the seventh root of x cubed.
Answer:
D.
Step-by-step explanation:
f(x)·g(x)=(x³+2x²+3x+1)(4x-5)
=
=
The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8) thus option (A),(B) and (D) are correct.
<h3>What is the equation?</h3>
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
In another word, the equation must be constrained with some constraints.
As per the given equation,
3x - y = 1
Substitute, x = -2
3(-2) - y = 1
y = -7 thus (-2,-7) satisfied.
Similarly (-1,-4) and (3,8) are also satisfied.
Hence "The solutions of the equation 3x - y = 1 are (-2,-7),(-1,-4) and (3,8)".
For more about the equation,
brainly.com/question/10413253
#SPJ1
Where r is the radius of the circle.
The question can be written out like this:
36 = 0.009x
Multiply both sides by 1,000:
9x = 36,000
Divide both sides by 9:
x = 4,000
