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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:
15x-2+7x+4=90°[being complementary angle]
22x+2=90°
22x=90°-2
22x=88
x=88/22
x=4
Answer:
1. x > 13
2. x < -2
3. x < 5
Step-by-step explanation:
2x - 3 > 23
<u>→Add 3 to both sides:</u>
2x > 26
<u>→Divide both sides by 2:</u>
x > 13
2x - 3 > 3x - 1
<u>→Subtract 2x from both sides:</u>
-3 > x - 1
<u>→Add 1 to both sides:</u>
-2 > x
5x - 4 < 21
<u>→Add 4 to both sides:</u>
5x < 25
<u>→Divide both sides by 5:</u>
x < 5
