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What is the polynomial of 14x2-39x-35?
It is a quadratic expression and when factored it is: (7x+5)(2x-7)
What are four consecutive odd numbers that add up to 160?
Since every other number is an odd (starting from 1), we automatically could say x, x + 2, x + 4, x - 2, are the variables. Adding these together and setting it to 160 yields a linear equation:x - 2 + x + x + 2 + x + 4 = 4x + 4 = 1604(x + 1) = 160x + 1 = 40x = 39Now plugging into the variables, we have:x - 2 = 39 - 2 = 37x = 39x + 2 = 39 + 2 = 41x + 4 = 39 + 4 = 43Therefore, {37, 39, 41, 43} is the answer.
Why is .9 bar equal to 1?
In mathematics, the notation .9 bar represents a repeating decimal, where the digit 9 repeats infinitely. To show that .9 bar is equal to 1, we can use the formula for an infinite geometric series: a / (1 - r), where a is the first term and r is the common ratio. In this case, a = .9 and r = .1. Plugging these values into the formula gives us .9 / (1 - .1) = .9 / .9 = 1. Therefore, .9 bar is equal to 1.
