Step-by-step explanation:
<u>The graph of a system of parallel lines will have no solutions. </u>
Because they will never intersect, having same slopes.
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<u>The graph of a system of equations with different slopes will have no solutions. </u>
Because they will intersect exactly once, having different slopes.
Answer:
9 or 11
Step-by-step explanation:
These are the answers because:
1) The number before 10 and after 10 is 9 and 11
Therefore, the answer is 9 or 11
Hope this helps!
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:
Approximate percent error = 15%
Step-by-Step Explanation:
Let the percentage of error be "e"
Anticipated sales = 2,500
Actual sales = 2,125
The percentage error "e" can be calculated as per the equation below:
2500*(1-e) = 2125
(1-e) = 2125/2500
1-e = 0.85
e = 1-0.85
e = 0.15
e = 15%
Approximate percentage error = 15%
