The location of an ant from a tree was 3 meters west (negative direction). The ant walked towards the tree at a constant rate an
d reached the tree in 2 minutes. If y represents the location of the ant from the tree, in meters, and x represents the time in minutes, which graph best represents this situation? graph of line going through ordered pairs negative 3, 0 and 0, 2 graph of line going through ordered pairs 0, negative 3 and 2, 0 graph of line going through ordered pairs 0, 2 and 3, 0 graph of line going through ordered pairs 0, negative 2 and negative 3, 0
2 answers:
Initially, when time is 0 minutes, ant is 3 meters west from the tree.
It is given that x represents the time and y represents the location of the ant from the tree.
So, the initial position of the ant is (0, -3).
After 2 minutes, the ant reaches the tree.
So, after 2 minutes, the distance of the ant from the tree is zero.
Therefore, the final point of the ant is at (2, 0).
Hence, the graph is the graph of line going through ordered pairs 0, negative 3 and 2,0.
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The expression evaluates to 20
We have : 5 |3-7|
We have to evaluate above expression.
<h3>State the property Modulus of the function - F(x) = x.</h3>For a function f(x) = x, which is real in nature -
f(x) = |x| =
The above property is called Modulus property. It is used to find the absolute value or magnitude of a quantity.
In the question it is given -
5 |3-4|
5 |3 - 4|
5 x 4 = 20 {Using the property of modulus f(x) = - x for x < 0}
Hence, the expression evaluates to give an absolute value of 20
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Factors of a polynomial can divide it without leaving remainder. The other factor of is given by Option D :
Let the polynomial A(x) has one factor f(x).
Then, it means, we have:
Thus, A(x) can be written as
Thus, the other factor of that polynomial is
For given case, the polynomial is
Its one factor f(x) is given
Thus, its second factor is obtained as:
Thus, the second factor of the given polynomial is
Option D :
Learn more about factors of polynomials here:
Option [b] 0.375 is correct !