<h3>Answer: B) 5x^4</h3>
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Work Shown:
125 = 5*5*5 = (5)^3
x^12 = (x^4)*(x^4)*(x^4) = (x^4)^3
125x^12 = (5x^4)^3
![\large \sqrt[3]{125x^{12}} = \left(125x^{12}\right)^{1/3}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%5Cleft%28125x%5E%7B12%7D%5Cright%29%5E%7B1%2F3%7D)
![\large \sqrt[3]{125x^{12}} = \left((5x^4)^3\right)^{1/3}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%5Cleft%28%285x%5E4%29%5E3%5Cright%29%5E%7B1%2F3%7D)
![\large \sqrt[3]{125x^{12}} = (5x^4)^{3*(1/3)}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%285x%5E4%29%5E%7B3%2A%281%2F3%29%7D)
![\large \sqrt[3]{125x^{12}} = (5x^4)^{1}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%285x%5E4%29%5E%7B1%7D)
![\large \sqrt[3]{125x^{12}} = \textbf{5x}^{\textbf{4}}](https://tex.z-dn.net/?f=%5Clarge%20%5Csqrt%5B3%5D%7B125x%5E%7B12%7D%7D%20%3D%20%5Ctextbf%7B5x%7D%5E%7B%5Ctextbf%7B4%7D%7D)
Answer:
<em>120 degrees</em>
Step-by-step explanation:
Find the diagram attached.
From the diagram;
Interior angles are m∠BCA and m∠ABC
Exterior angle is m∠DAB
The sum of interior angle of the triangle is equal to exterior
m∠BCA +m∠ABC =m∠DAB
Given
m∠ABC = 70
m∠BCA =50
m∠DAB = 70 + 50
m∠DAB = 120 degrees
<em>Hence the measure of m∠DAB is 120 degrees</em>
Answer:
D
Step-by-step explanation:
These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.
Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.
Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.
There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.
The answer is thus D.
The slope-intercept form:
y = mx + b
m - slope
b - y-intercept
-------------------------------------
2x + y = -3 <em>subtract 2x from both sides</em>
y = -2x - 3
-2y = 6 + 4x
-2y = 4x + 6 <em>divide both sides by (-2)</em>
y = -2x - 3
We have the same equations. Therefore the system of equations is dependent. Has an infinite number of solutions
x ∈ R
y = -2x - 3
Hello!
1.10*5=5.5
5 pounds of bananas will cost $5.50.
Hope this helps!
