Answer:
each board will be 9 inches long
Step-by-step explanation:
if you convert 4 1/2 feet into inches it will be 54 inches then divide it by 6 and you'll get 9
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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Answer:
2(2x + 1)(3x - 5)
Step-by-step explanation:
We're going to use the compounded intrest formula:
Where P is the initial cost
r is the rate as a decimal
n is the amount per year that you invest the rate
t is the amount of time at which you're checking how much it's worth (yrs)
Using this information, we can use:
So your answer will be
B.
7+ 6
---
k
that's what it would look like if you wrote it out on paper
or you could type it like 7+(6/k)
hope it helps :)
