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;
Answer:
The distance between the longest dog and the shortest dog is 4 over 8 (
) OR 1 over 2 (
)
Step-by-step explanation:
From the question,
Short is 7 over 8, that is,
Short = 
and longest is 3 over 8, that is
Longest = 
The distance between the longest dog and the shortest dog can be determined by finding the difference between the fractions. That is,



Hence, the distance between the longest dog and the shortest dog is 4 over 8 (
) OR 1 over 2 (
).
The statement that line segments that have the same length are called similar segments is false
<h3>How to determine the true statement?</h3>
The statement is given as:
Line segments that have the same length are called similar segments.
As a general rule:
Line segments that have the same length are similar segments.
However, line segments that have the same length are not called similar segments
Instead, line segments that have the same length are called congruent lines
This means that the the statement that line segments that have the same length are called similar segments is false
Hence, the statement that line segments that have the same length are called similar segments is false
Read more about congruent lines at:
brainly.com/question/3168048
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Answer:
8j-k+14
8(0.25)-1+14=2-1+14=15
Step-by-step explanation: