I think the correct answer from the choices listed above is option C. Creating the rule 3x+12 to describe a sequence of numbers is an example of the usage of deductive reasoning. <span>Deduction is logical reasoning based on the understanding of all pieces in a given scenario.</span>
<h2>
Coordinate of mid point = (1,0)</h2>
Step-by-step explanation:
Given points are (-6,3) and (4,-3)
,
and ![y_2 = -3](https://tex.z-dn.net/?f=y_2%20%3D%20-3)
Coordinate of mid point ![(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )](https://tex.z-dn.net/?f=%28%5Cfrac%7Bx_1%2Bx_2%7D%7B2%7D%20%2C%5Cfrac%7By_1%2By_2%7D%7B2%7D%20%29)
![=(\frac{-6+4}{2} ,\frac{3+(-3)}{2})](https://tex.z-dn.net/?f=%3D%28%5Cfrac%7B-6%2B4%7D%7B2%7D%20%2C%5Cfrac%7B3%2B%28-3%29%7D%7B2%7D%29)
=(1,0)
We can get the circumference of any circle in terms of the radius with this formula. C = 2
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
r.
Where r is the radius of the circle.
And we will use 3.14 for
![\pi](https://tex.z-dn.net/?f=%20%5Cpi%20)
.
Plug in all the values.
C = 2 * 3.14 * 2
C = 12.56
So, the circumference of the circle is 12.6 inches when rounded to the nearest tenth.
Answer:
20%/100 = 8 peeps / 40 items in the basket
(40 total items)
Step-by-step explanation:
Let x be the total number of items in the basket. The ratio of peeps to the total item is 1/5. Therefore,
1/5 = 8/x
x = 40
40 total items
If a function is defined as
![h(x)=\dfrac{f(x)}{g(x)}](https://tex.z-dn.net/?f=%20h%28x%29%3D%5Cdfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20)
where both
are continuous functions, then
is also continuous where defined, i.e. where ![g(x)\neq0](https://tex.z-dn.net/?f=g%28x%29%5Cneq0)
So, in your case, this function is continous everywhere, except where
![x^2-7x+12=0](https://tex.z-dn.net/?f=%20x%5E2-7x%2B12%3D0)
To solve this equation, we can use the formula ![x^2-sx+p=0](https://tex.z-dn.net/?f=x%5E2-sx%2Bp%3D0)
It means that, if the leading terms is 1, then the x coefficient is the opposite of the sum of the roots, and the constant term is the product of the roots.
So, we're looking for two terms whose sum is 7, and whose product is 12. These numbers are easily found to be 3 and 4.
So, this function is continuous for every real number different than 3 or 4.