-10. One type of system of equations that results in infinite solutions is one where both sides of the equation are exactly equal. Here, setting the second equation equal to -10 becomes 2y - 4x = -10. This can be rearranged into 2y = 4x - 10. Dividing everything by 2 results in y = 2x - 5, which is exactly what the first equation is. Substituting one equation into another, we get 2x - 5 = 2x - 5, which is a true statement for all values of x.
Using a graphing calculator, we can see the graph of the function y = x²-4x+1:
as we can see, the vertex of the function is (2,-3), and the solutions are (0.3,0) and (3.7,0)
Answer:
Number of permutations = 5040
Step-by-step explanation:
We are given the word 'INNOVATIVE', that has total 10 letters.
Now, we are asked to form words using exactly 4 letters at a time i.e. out of 10 letters we are using 4.
Therefore, the number of permutations that can be formed using 4 letters are = P(10,4)
i.e. ![10_{P_{4} }](https://tex.z-dn.net/?f=10_%7BP_%7B4%7D%20%7D)
= ![\frac{10!}{(10-4)!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B%2810-4%29%21%7D)
= ![\frac{10!}{6!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B6%21%7D)
= ![\frac{10*9*8*7*6!}{6!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%2A9%2A8%2A7%2A6%21%7D%7B6%21%7D)
= 10*9*8*7
= 5040
Step-by-step explanation:
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