The length of a rectangle is 5/2 units greater than twice its width. If its width is w, which expression gives the perimeter of
1 answer:
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Answer:
The domain is {x : x ∈ R} or (-∞ , ∞)
Step-by-step explanation:
* Lets explain how to find the domain
- The domain of the function is the values of x which make the
function defined
- The quantity under the square root must be ≥ 0 because there is
no square root for negative value
* Lets solve the problem
∵ f(x) = √(x² - x + 6)
∴ The value of (x² - x + 6) must be greater than or equal zero because
there is no square root for negative value
- Graph the function to know which values of x make the quantity
under the root is negative that means the values of x which make
the graph under the x-axis
∵ The graph doesn't intersect the x-axis at any point
∵ All the graph is above the x-axis
∴ There is no value of x make f(x) < 0
∴ x can be any real number
∴ The domain of f(x) is all real numbers
∴ The domain is {x : x ∈ R} or (-∞ , ∞)
Answer:
B. (-7,-3)
Step-by-step explanation:
Given the circle:
The point (x,y) which lie on the circle are the coordinate which satisfies the given equation of the circle.
We now consider the given options.
<u>Option A (5,12)</u>
When x=5, y=12
<u>Option B (-7,-3)</u>
When x=-7, y=-3
<u>Option C (-6,-10)</u>
When x=-6, y=-10
<u>Option D (6,23)</u>
When x=6, y=23
We can see that only (-7,-3) satisfies the equation of the circle. Thus it is the point which lies on the circle.
The correct option is B.