Answer:
(0 + m)/2, (0 + n)/2.
Step-by-step explanation:
The x coordinate of the midpoint must be halfway between the x coordinates of A and B, and the y coordinate must be found in the same way.
So the midpoint is (0 + m)/2, (0 + n)/2.
Step-by-step explanation:
The formula for percent change is
change/original.
So let's subtract 17 from 55 to find the change. 55-17=38
This is the change. Now we divide it by the original, 17.
38/17=2.235294
We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is
about 223.53 percent
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.
</span></span></span>
Answer:
289
Step-by-step explanation:
We don't need
at all for this.
We will need to know
before continuing...
can be found by replacing
in
with
:



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Now let's find
:
![[f(4)]^2](https://tex.z-dn.net/?f=%5Bf%284%29%5D%5E2)
![[17]^2](https://tex.z-dn.net/?f=%5B17%5D%5E2)


Answer:
Step-by-step explanation: