Write the following decimal number in its equivalent fraction form.
1 answer:
Answer:
-0.6666.... = -
Step-by-step explanation:
Repeating decimals can be written as either 0.6666..., or as 0.6 with a small line over the top of the 6 to indicate it repeats. Repeating fractions are not put into fractions in the traditional way. If we had the terminating decimal 0.4, then we know to put the 4 over 10 and reduce:
However, with repeating decimals, instead of putting the number of the decimal over a value of 10, we put it over a value of 9. So, for the equivalent fraction form of -0.6 (repeating) we would get:
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The function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
<h3>What is a function?</h3>It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
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We have:
The graph of a function f(x) passes through the following points: (0,2), (1, 0), (-1,0)
Let
f(x) = ax² + bx + c
Plug x = 0, and y = 2
c = 2 ...(1)
Plug x = 1 and y = 0
a + b + c = 0 ..(2)
Plug x = -1 and y = 0
a - b + c = 0 ...(3)
After solving (1), (2), and (3)
a = -2
b = 0
c = 2
f(x) = -2x² + 2
Thus, the function is f(x) = -2x² + 2 if the function f(x) passes through the following points:(0,2), (1, 0), (-1,0)
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