Answer:
The transformation is (x,y) to (x-2,y-6)
Step-by-step explanation:
First of all, we note the coordinates of the point G
The coordinates of the point G is (2,6)
To bring this to the origin, we are looking at bringing it to the point (0,0)
To do this, we subtract 2 from the x-value and 6 from the y value
So what we have is that;
(x-2) and (y-6)
(x-2, y-6)
Answer:
Step-by-step explanation:
1. The initial equation given to us is 
. Rearranging the equation to isolate 
, we have:
2. Using the equation we rearranged in part 1, we can substitute given values:
3. We see from our equation in part 1 (
) that when 
, the denominator of our fraction will be equal to 0. Since we cannot divide by 0, the velocity remains undefined and cannot be determined.
Answer:
16
Step-by-step explanation:
The existence of the constant rate of change is given the ratio of y to x is the same. Then:
In consequence, the constant rate of change is 16.
For Part A, what to do first is to equate the given equation to zero in order to find your x intercepts (zeroes)
0=-250n^2+3,250n-9,000 after factoring out, we get
-250(n-4)(n-9) and these are your zero values.
For Part B, you need to square the function from the general equation Ax^2+Bx+C=0. So to do that, we use the equated form of the equation 0=-250n^2+3,250n-9,000 and in order to have a positive value of 250n^2, we divide both sides by -1
250n^2-3,250n+9,000=0
to simplify, we divide it by 250 to get n^2-13n+36=0 or n^2-13n = -36 (this form is easier in order to complete the square, ax^2+bx=c)
in squaring, we need to apply <span><span><span>(<span>b/2</span>)^2 to both sides where our b is -13 so,
(-13/2)^2 is 169/4
so the equation now becomes n^2-13n+169/4 = 25/4 or to simplify, we apply the concept of a perfect square binomial, so the equation turns out like this
(n-13/2)^2 = 25/4 then to find the value of n, we apply the square root to both sides to obtain n-13/2 = 5/2 and n is 9. This gives us the confirmation from Part A.
For Part C, since the function is a binomial so the graph is a parabola. The axis of symmetry would be x=5.
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