Solving an equation<h2>Step 1</h2>
We divide both sides by 5 so we can eliminate the parenthesis:
<h2>Step 2</h2>
We rearrange the terms so the terms with the unkown variable y are on the left side and the other ones on the right side:
y - 10 = -1
↓ <em>adding 10 both sides</em>
y - 10 + 10 = -1 + 10
y + 0 = 9
y = 9
<h2>Answer: y = 9</h2>
Answer:
24a
Step-by-step explanation:
The <em>algebraic</em> expression 
is equivalent to the <em>algebraic</em> expression ![x^{3}\cdot \sqrt[3]{x}](https://tex.z-dn.net/?f=x%5E%7B3%7D%5Ccdot%20%5Csqrt%5B3%5D%7Bx%7D)
. 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:
![x^{m/n} = \sqrt[n]{x^{m}} = \left(\sqrt[n]{x}\right)^{m}](https://tex.z-dn.net/?f=x%5E%7Bm%2Fn%7D%20%3D%20%5Csqrt%5Bn%5D%7Bx%5E%7Bm%7D%7D%20%3D%20%5Cleft%28%5Csqrt%5Bn%5D%7Bx%7D%5Cright%29%5E%7Bm%7D)
(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: the correct options are B, D and F
Step-by-step explanation:
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
m = slope = rate of change
Looking at the equations given, the three that apply are
B) slope = 7
y intercept = 4
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
D) y = 9x + 1
slope = 9
y intercept = 1
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
F) y = 8x + 5
slope = 8
y intercept = 5
It has a greater rate of change than a linear function with a slope of 6 and a y–intercept of 3
Answer:
43 is already in the simplest form. It can be written as 1.333333 in decimal form (rounded to 6 decimal places).
