Answer:
Yes
Step-by-step explanation:
Yes, that is possible because whenever one number is a factor of the other one, it's their greatest common factor. Here are some examples.
2 and 200
10 and 100
13 and 52
one thousand and one million
Answer:
The graph of this piece-wise function is attached below.
Step-by-step explanation:
Given the function
- A piece-wise function is a function which has multiple pieces.
- Each of the pieces have their own restrictions.
- The domain of a function is the set of input, or x, values for which the function is defined.
- The range is the set of all values taken by the function
As the piece
has the domain [-5, 3) and graph of this piece is attached below.
and
has the domain [3, 7) and graph of this piece is attached below.
So, the domain of the piece-wise function can be composed as [-5, 3) U [3, 7) and range has the interval
.
i.e.
Domain: [-5, 3) U [3, 7)
Range: ![\:\left[-1,\:27\right]](https://tex.z-dn.net/?f=%5C%3A%5Cleft%5B-1%2C%5C%3A27%5Cright%5D)
The graph of this piece-wise function is attached below.
<em>Keywords: piece-wise function, domain, range</em>
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Answer:
See explanation
Step-by-step explanation:
You are given the equation of the curve

Point
lies on the curve.
Point
is an arbitrary point on the curve.
The slope of the secant line PQ is
![\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]](https://tex.z-dn.net/?f=%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cdfrac%7B%5Cfrac%7Bx%7D%7B1%2Bx%7D-%5Cfrac%7B1%7D%7B2%7D%7D%7Bx-1%7D%3D%5Cdfrac%7B%5Cfrac%7B2x-%281%2Bx%29%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5Cdfrac%7B%5Cfrac%7B2x-1-x%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5C%5C%20%5C%5C%3D%5Cdfrac%7B%5Cfrac%7Bx-1%7D%7B2%28x%2B1%29%7D%7D%7Bx-1%7D%3D%5Cdfrac%7Bx-1%7D%7B2%28x%2B1%29%7D%5Ccdot%20%5Cdfrac%7B1%7D%7Bx-1%7D%3D%5Cdfrac%7B1%7D%7B2%28x%2B1%29%7D%5C%20%5B%5Ctext%7BWhen%7D%5C%20x%5Cneq%201%5D)
1. If x=0.5, then the slope is

2. If x=0.9, then the slope is

3. If x=0.99, then the slope is

4. If x=0.999, then the slope is

5. If x=1.5, then the slope is

6. If x=1.1, then the slope is

7. If x=1.01, then the slope is

8. If x=1.001, then the slope is

One taco would cost about $1.20.
You know the missing side of the bottom base is 6 because of the 30 60 90 special right triangle. The height is 6sqrt3 because of what i said above too, The area of a trapezoid is 1/2 b1+b2*h so 30+36*6sqrt3 is 396sqrt3 divided by 2 is 298sqrt3