The <em>algebraic</em> expression
is equivalent to the <em>algebraic</em> expression
. Thus, the right choice is option D.
<h3>How to apply power and root properties to rewrite a given expression</h3>
In this question we must apply the following set of <em>algebraic</em> properties to simplify a given expression:
(1)
(2)
(3)
Where:
- <em>m</em>, <em>n</em> - Exponents
- <em>x</em> - Base
And also by apply the definition of power.
If we know that the given expression is
, then the equivalent expression is:
![x^{10/3} = \sqrt[3]{x^{10}} = \sqrt[3]{x^{9}\cdot x} = \sqrt[3]{x^{9}}\cdot \sqrt[3]{x} = x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B10%2F3%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B10%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%5Ccdot%20x%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E%7B9%7D%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D%20%3D%20x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
The <em>algebraic</em> expression
is equivalent to the <em>algebraic</em> expression
. Thus, the right choice is option D.
To learn more on roots, we kindly invite to check this verified question: brainly.com/question/1527773
Answer:
120 + 3.5x≤ 190
Step-by-step explanation:
Add up all the costs
80+ 10+10+20 + 3.50x where x is the number of cupcakes
Combine like terms
120 + 3.5x
This must be less than or equal to 190
120 + 3.5x≤ 190
Answer:
x^2 +y^2
Step-by-step explanation:
Dude this is Pythragorean Theorem =)).
You may have missed this part of your lesson. It's ok and also not ok at the same time beacause pythagorean theorem is a meme.
Ok I'll explain once =)).
Thousands of years ago, a mathematician named Pythagore found out that if we have 3 squares, with one square's area equals to the sum of two other squares, then when we put the sides of the squares together to form a triangle , it'll always be a right triangle ( a triangle with one of its angle is 90°). A square area is measured by the length of its side multipled by itself. So he came up with the statement : In a right triangle, the length of the hypotenuse( the side that does not connect to the right angle) is equalled to the sum of squared other sides.
EG.
In this triangle, the right angle is ^ACB. If length of BC is <em>a</em><em>,</em><em> </em>length of AB is <em>c</em>, length of BC is <em>a</em>
A
I We have a formula :
I \ <em>a</em>^2 + <em>b</em>^2 = <em>c</em>^2
I \
I \
I <em>b</em> \ <em>c</em>
I \
I \
I______\
C <em> a </em> B
So now you can use pythagorean theorem to show off =)).
HOPE YOU LEARN WITH JOY AND HIGH GRADES !!!
Basically, this is a pretty simple discount problem. In order to get the answer to this, you simply have to multiply 15% with 1575. To do this, you have to multiply 1575 with 0.15 and you will be getiing an answer of 236.25. From there, you have to subtract that answer to the principal amount which is 1575. So if you do that, you will have a final answer of 1338.75. So the discounted price of the computer would be 1338.75 because of the 15% discount.