Answer:
![x=-\frac{7}{6}\\x=\frac{1}{6}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B7%7D%7B6%7D%5C%5Cx%3D%5Cfrac%7B1%7D%7B6%7D)
Step-by-step explanation:
The equation to solve is:
![(x+\frac{1}{2})^2=\frac{4}{9}](https://tex.z-dn.net/?f=%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%3D%5Cfrac%7B4%7D%7B9%7D)
To get rid of the "square", we need to take square root of both sides:
![\sqrt{(x+\frac{1}{2})^2}=\sqrt{\frac{4}{9}}\\x+\frac{1}{2}=\frac{\sqrt{4}}{\sqrt{9}}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x%2B%5Cfrac%7B1%7D%7B2%7D%29%5E2%7D%3D%5Csqrt%7B%5Cfrac%7B4%7D%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D)
Then we use algebra to find the value(s) of x. Remember, when we take square root, we have to add up a "+-" (on the right side). Shown below:
![x+\frac{1}{2}=+-\frac{\sqrt{4}}{\sqrt{9}}\\x+\frac{1}{2}=+-\frac{2}{3}\\x=\frac{2}{3}-\frac{1}{2}=\frac{1}{6}\\x=-\frac{2}{3}-\frac{1}{2}=-\frac{7}{6}](https://tex.z-dn.net/?f=x%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B%5Csqrt%7B4%7D%7D%7B%5Csqrt%7B9%7D%7D%5C%5Cx%2B%5Cfrac%7B1%7D%7B2%7D%3D%2B-%5Cfrac%7B2%7D%7B3%7D%5C%5Cx%3D%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B6%7D%5C%5Cx%3D-%5Cfrac%7B2%7D%7B3%7D-%5Cfrac%7B1%7D%7B2%7D%3D-%5Cfrac%7B7%7D%7B6%7D)
So these are 2 answers for x.
So here is how we are going to solve this:
The power of the given expression is 3 and the root is 5. So in writing a fractional exponent, we just have to make 3 as the numerator. So multiply both sides by 3/5 to take the root sign off and the final answer would be x^3/5. 3/5 is the power. Hope this answer helps.
<span>Each Exterior Angle = (360 degrees) ÷ (Number of Sides)
</span>
A pentagon has 5 sides so
<span>Each Exterior Angle = 360 / 5
</span>
Each Exterior Angle =72
If the exterior angle = 2x and the angle = 72 degrees then
2x = 72 and
x = 36
Source:
http://www.1728.org/polygon.htm
Answer: The Horizontal asymptote of f(x) and g(x) is y=0. The third option is correct.
Explanation:
it is given that the using the rules of transformations to compare the graphs of the functions,
![f(x)=\frac{1}{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D)
![g(x)=\frac{5}{x-1}](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B5%7D%7Bx-1%7D)
The graph of f(x) vertically stretch by factor 5 and shifts 1 unit right to transform g(x).
To find vertical asymptotes equate denominator equal to 0.
![x=0](https://tex.z-dn.net/?f=x%3D0)
![x=1](https://tex.z-dn.net/?f=x%3D1)
Therefore the function f(x) has vertical asymptote x=0, and g(x) has vertical asymptote x=1. So their is not common vertical asymptote.
To find horizontal asymptotes put
.
![f(x)\rightarrow 0\text{ as }x\rightarrow \infty](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%200%5Ctext%7B%20as%20%7Dx%5Crightarrow%20%5Cinfty)
![g(x)\rightarrow 0\text{ as }x\rightarrow \infty](https://tex.z-dn.net/?f=g%28x%29%5Crightarrow%200%5Ctext%7B%20as%20%7Dx%5Crightarrow%20%5Cinfty)
Therefore, the function have common horizontal asymptote, i.e., y=0.
Slope-Intercept form is in the format of <em>y=mx+b</em>, where m is the slope and b is the y-intercept. Therefore, we can rewrite the given equation dollarsas Cost=8p+10.
We can eliminate B and D because they mention that 10 is the slope, when the true slope is 8.
A.) is the correct answer because each pass is equal to 8 dollars (dollars is an assumed unit, it could be anything though).
:)