Lydia bought a new X-box game for $62. She paid with a $100 bill. How many dollars did she get in change?
2 answers:
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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:
First you need to find at least two dimensions of the triangle containing a side length of x. The triangle of the top can be used for that. The hypothenuse for the 7,3 triangle is .
Now we can use the other triangle with sides of x,, and a hypothenuse of 9 to find x.
x^2 + = 9^2
simplify
x^2 + 58 = 81
subtract 58 from both sides
x^2 = 23
x =
and since this radical cannot be simplified further that is your answer.
Step-by-step explanation: