After demonstrating the procedure by algebraic means, the expression ![(2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )](https://tex.z-dn.net/?f=%282%5Csqrt%5B3%5D%7B12%7D%20%29%5Ccdot%20%283%5Csqrt%5B3%5D%7B2%7D%20%29)
<em>is equivalent to</em> ![6\cdot \sqrt[3]{24}](https://tex.z-dn.net/?f=6%5Ccdot%20%5Csqrt%5B3%5D%7B24%7D)
.
In this question we proceed to <em>simplify</em> by <em>algebraic</em> means into a <em>single</em> <em>radical</em> expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:
- Given.
-
![(2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )](https://tex.z-dn.net/?f=%282%5Ccdot%203%29%20%5Ccdot%20%28%5Csqrt%5B3%5D%7B12%7D%20%5Ccdot%20%5Csqrt%5B3%5D%7B2%7D%20%20%29)
Commutative property/ Associative property. - Definition of cubic root/
![\sqrt[n]{a} = \sqrt[n]{b}](https://tex.z-dn.net/?f=%5Csqrt%5Bn%5D%7Ba%7D%20%3D%20%5Csqrt%5Bn%5D%7Bb%7D)
/Result
After demonstrating the procedure by algebraic means, the expression <em>is equivalent to</em> .
To learn more on radical expressions, we kindly invite to check this verified question: brainly.com/question/1810591
Answer:
0
Step-by-step explanation:
1) Multiply the first equation by -3: -6x - 3y = 12
2) Substitute 2x + 12 for -3y in the above equation, obtaining:
-6x + 2x + 12 = 12
Then -4x = 0, and x = 0. Letting x = 0 in the first equation, we get:
0 + y = -4, so y = -4.
The x-value at the intersection of the lines is zero (0).
That intersection is at (0, -4).
You simply do 973-449 to get 524 jars of strawberry jelly
Answer:
NO.
Step-by-step explanation:
From the question, we are given a random sample of 20 automotive batteries, a confidence interval =(0.22,0.33). Also, the population standard deviation is said to be less than 0.26 hour.
The confidence interval does NOT suggest that the variation in the batteries' reserve capacities is at an acceptable level.
REASON: If you look at the confidence interval, we can see that it contains the value for the standard deviation that is 0.26 and even MORE value than 0.26.
This does not give us any suggestion that the standard deviation is less than 0.26.
