b is the correct answer u got it
Answer:
f(x) = 
is the simplest expression
Step-by-step explanation:
We are given an expression and we are supposed to find the simplest form of the given expression.
The given expression is
f(x) = ![\sqrt[3]{4x^{2} } \times \sqrt[3]{8x^{7} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B4x%5E%7B2%7D%20%7D%20%5Ctimes%20%5Csqrt%5B3%5D%7B8x%5E%7B7%7D%20%7D)
Since the cube root is common we can multiply the quotient inside the radical sign.
f(x) = ![\sqrt[3]{32x^{(2+7)} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B%282%2B7%29%7D%20%7D)
= ![\sqrt[3]{32x^{9} }](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B32x%5E%7B9%7D%20%7D)
= 
=
f(x) = is the simplest expression
Answer:
the value of x that makes this equation true is 9
Step-by-step explanation:
2(x - 6) + x + 14 = 4(x - 3) + 5
<em>open the parenthesis</em>
2x - 12 + x + 14 = 4x - 12 + 5
<em>add 12 to both sides of the equation</em>
2x - 12 + 12 + x + 14 = 4x - 12 + 12 + 5
2x + x + 14 = 4x + 5
<em>subtract 5 from both sides of the equation</em>
2x + x + 14 - 5 = 4x + 5 - 5
3x + 14 - 5 = 4x
3x + 9 = 4x
<em>subtract 3x from both sides of the equation</em>
3x - 3x + 9 = 4x - 3x
9 = 4x - 3x
9 = x
check the answer:
2(x - 6) + x + 14 = 4(x - 3) + 5
2(9 - 6) + 9 + 14 = 4(9 - 3) + 5
29 = 29
