Answer:
A
Step-by-step explanation:
Refer to the picture above.
Explainations are written in the pic above.
Answer:
C is correct
Step-by-step explanation:
We are given seperately that
and 
As a compound inequality, it is C
The slope is -1/2
----------------------------
(-4)-1 / 0-(-10)
-5/10
-1/2
m= -1/2
The given question can be solve using quadratic formula.
The correct option is (c)
.
Given:
The given equation is,
---------------------------(1)
Write the general quadratic equation.

Write the quadratic formula.
------------------------------- (2)
Compare equation (1) and (2).

Substitute the value of
,
and
in general quadratic.

Subtract
from each side of above equation.

Thus, the correct option is (c)
.
Learn more about quadratic equation here:
brainly.com/question/17177510
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