Answer:
Center (-5,4) radius 3
Step-by-step explanation:
The standard equation of a circle is
(x-h)^2+(y-k)^2=r^2
where the center is (h,k) and r is the radius
so h=-5 in this case and k is 4
r^2=9 so r=3
Answer:
See below
Step-by-step explanation:
<u>We can estimate the dividend and divisor as follows:</u>
- 635943 ÷ 77 =
- 636000 ÷ 80 =
- 7950 ≈ 8000
Estimate is 8000
When there are no gaps or breaks on the graph, a function is continuous. When a function fails to be continuous, it is said to be discontinuous at that location.
<h3>What is Continuity in Calculus?</h3>
A function is continuous when there are no gaps or breaks in the graph. These gaps or breaks can be easily seen in a graph. They are also easily stated as holes, jumps, or vertical asymptotes. However, in calculus, you must be more specific in your definition of continuity.
There are three conditions that must be met in order to state a function is continuous at a certain point.
A function f(x) is continuous at a point a if only if the following three conditions are satisfied:
1.)f(a) is defined
2.)lim x→a f(x) exists
3.)lim x→a f(x)=f(a)
Therefore, A function is discontinuous at a point a if it fails to be continuous at a.
Learn more about Continuity here
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For this case we must solve the following equations:
We subtract 3x on both sides of the equation:
We subtract 7 on both sides of the equation:
We divide between 2 on both sides of the equation:
The second equation is:
We apply distributive property to the terms of parentheses:
We add common terms:
We add 10 to both sides of the equation:
We divide between 5 on both sides of the equation:
Third equation:
We apply distributive property to the terms within parentheses:
We add similar terms:
We subtract 6x on both sides of the equation:
We subtract 5 on both sides of the equation:
Answer:
