Answer:
My graphing calculator tells me the function is
.. f(x) = x^2 +x -2
_____
Since we recognize the y-intercept as being (0, -2), we only need to find the coefficients of x and x^2.
If you want to do this by hand, you can use
.. y = ax^2 +bx -2
to write 2 equations in a and b for the (x, y) values (1, 0) and (3, 10).
.. 0 = a +b -2
.. 10 = 9a +3b -2
To solve by substitution, you can let a = 2-b, and you have
.. 10 = 9(2 -b) +3b -2
.. 6b = 6 . . . . . . . . . . . add 6b-10
.. b = 1
.. a = 2 -1 = 1
Step-by-step explanation:
A ratio of 1:2 means that there are 3 parts in total. One part will be before the desired point, and 2 parts will be after the desired point. This is the same as finding the point that is 1/3 the length. Half the length of the segment would mean there would only be two pieces, each of equal size.
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So when you add mixed numbers, you must convert it into fractions. The four would become part of the fraction and be 43/10 and the six becomes part of the fraction which is 69/10. You can find this by multiplying 4 by the denominator and then adding it to the numerator (4 Times 10 = 40 + 3 = 43/10) and same for the other one. The answer is 112/10, simplify to 11 1/5.
He would travel 67 1/2 miles in an hour.
Answer:
x= -2
Step-by-step explanation:
Rational Function can be expressed as:
Where b is our horizontal shift and q is our vertical shift.
For asymptotes, there are two types which are vertical and horizontal.
Vertical Asymtote is the value of -b itself or x = -b.
Therefore, from the functio:
Our vertical asymtote is x = -2
