What is the relation between the variables in the equation y/x^2=10
2 answers:
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The way we can find out the unit rate (also known as the <em><u>SLOPE</u></em>) is by using the table as coordinates!
The slope formula is
With the table, the TIME column can be "x"
The DISTANCE column can be "y"
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As coordinates, it would look like...
(0,0)
(20, 25)
(30, 37.5) and so on!
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All we need to do now is use 2 of these coordinates and plug them into the slope formula in their correct places to find the unit rate!
Example:
solve!
= 12.5/10 ⇒ 1.25 ( or 5/4 in fraction form)
Answer:
The zeros of the function are;
x = 0 and x = 1
Step-by-step explanation:
The zeroes of the function simply imply that we find the values of x for which the corresponding value of y is 0.
We let y be 0 in the given equation;
y = x^3 - 2x^2 + x
x^3 - 2x^2 + x = 0
We factor out x since x appears in each term on the Left Hand Side;
x ( x^2 - 2x + 1) = 0
This implies that either;
x = 0 or
x^2 - 2x + 1 = 0
We can factorize the equation on the Left Hand Side by determining two numbers whose product is 1 and whose sum is -2. The two numbers by trial and error are found to be -1 and -1. We then replace the middle term by these two numbers;
x^2 -x -x +1 = 0
x(x-1) -1(x-1) = 0
(x-1)(x-1) = 0
x-1 = 0
x = 1
Therefore, the zeros of the function are;
x = 0 and x = 1
The graph of the function is as shown in the attachment below;
