Apply lg on both sides.
lg7^x^2 = lg9^x
Bring the power forward.
x^2lg7 = xlg9
x^2/x = lg9/lg7
x = lg9/lg7 = 1.13
You know that the ratio of J&S to F&So is 2:3. You need two numbers that have that same ratio to total 60 players. When you multiply both numbers by 12, you have a ratio of 2:3 but the number of players is 24 to 36. Thus, the total players is 60. When looking at the ratio of Juniors to Seniors, the ratio remains 1:2, but must total 24 players. Dividing the total players by 3, you can find where 1 part of the players equals 2 parts of the others. Keeping that same ratio in mind, you are able to calculate that the ratio of Juniors to Seniors is 8:16 but when reduced, still remains a 1:2 ratio.
As the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1
As per the question statement, we are given a new mathematical operation a△b=a^2-b/b-a^2 and we are supposed to find the value of 4△3 using the same operation.
Given, a△b=a^2-b/b-a^2
now 4△3 = (4^2-3) / (3-4^2)
4△3 = (16-3) / (3-16)
4△3 = 13 / -13
4△3 = -1
Hence, as the new mathematical operation is defined by a△b=a^2-b/b-a^2, the value of 4△3 using the same operation will be 4△3 = -1.
- Mathematical operation: An operator in mathematics is often a mapping or function that transforms components of one space into elements of another.
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Answer:
9/50 or 0.18
Step-by-step explanation:
Factor out the GCF first
3(2x² - x - 10)
3(2x - 5)(x + 2)
