An integer is like -5,-4,-3,-2,-1,0,1,2,3,4...
all counting numbers plus 0 and negatives
so no fractions
so an an easmple of a rational number that is not an integer is any fraction a/b such that it doesn't sipmlify to an integer
examples
2/3
1/4
5/6
9/10
etc
Answer:
The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)
<u>Solution:</u>
Given, equation is 
We have to find the vertex of the given equation.
When we observe the equation, it is a parabolic equation,
We know that, general form of a parabolic equation is
Where, h and k are x, y co ordinates of the vertex of the parabola.
By comparing the above equation with general form of the parabola, we can conclude that,
a = -6, h = 1 and k = 9
Hence, the vertex of the parabola is (1, 9).
<span>5 nickels , 2 quarters, and 1 pennies = 8 coins.</span>
<span> he received 2 quarters</span>
That's OK, but you have not said which variable you want to solve it for.
<u>To solve for 'x':</u>
<span>c + ax = dx
Subtract c from each side: ax = dx - c
Subtract dx from each side: ax - dx = -c
Factor the left side: x (a - d) = -c
Divide each side by (a - d) : x = -c / (a - d) or <u>x = c / (d - a)</u> .
</span><span><u>To solve for 'c': </u>
</span><span> c + ax = dx
Subtract ax from each side and factor: <u>c = x (d - a) </u>
</span><u>To solve for 'd': </u>
<span>c + ax = dx
Divide each side by 'x': d = c/x + a .
<u>To solve for 'a':</u>
</span><span><span> c + ax = dx</span>
Subtract 'c' from each side: ax = dx - c
Divide each side by 'x': <u>a = d - c/x </u>.
.</span>
