Given that f(x) is a function that represents number of hours required to travel, the domain of the function is: distance travelled in miles (x)
<em><u>Recall:</u></em>
- In a relation that is a function, the domain of the function is the set of input values (x-values).
- The range of the function is the set of output values (y-values or f(x)).
Thus, given that f(x) is a function that represents number of hours required to travel, therefore:
- x = input values (domain) = distance travelled in miles
- f(x) = output values (range) = number of hours.
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Answer: 30 degrees
Step-by-step explanation:
well 60 divided by 2
1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:
x^2 + 5x = 300
x^2 + 5x - 300 = 0 (Subtract 300 from both sides)
(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)
From this, we get: x = 15 or x = -20
Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.
2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:
Length = x + 5
Length = 15 + 5 = 20
Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.
7v3 is the radical simplified... to do this you can use multiple methods. I like to use a factor tree.
Here’s a link to a website that explains some different methods of solving:
http://m.moomoomath.com/?url=http://www%2emoomoomath%2ecom%2fsimplyfing%2dradicals%2ehtml#2653
