<h3>
Answer: 6</h3>
Mark the locations -6 and 0 on the number line. Note that going from -6 to 0, or vice versa, will take exactly 6 steps. Put another way, the distance between 0 and -6 is 6 units. Absolute value represents distance, so it is never negative.
We say
Effectively, all we're doing is removing the negative sign.
By finding the roots of the polynomial, we conclude that the correct graph is the second one.
<h3>
Which is the graph of the polynomial?</h3>
Here we have the polynomial:
To identify it, we need to find the roots, we can rewrite the equation as:
And we can rewrite the last part by using the Bhaskara's formula:
Then the roots are:
x = -2
x = 1
Then we rewrite:
So the roots are at x = 0, x = -2, and x = 1.
The graph with these roots is the second graph (top right).
If you want to learn more about polynomials:
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Answer:
a) (4,5)
b) (0,-3)
Step-by-step explanation:
We have to perform the following reflection over given ordered pair.
a) Reflect the ordered pair (-4,5) across the y-axis
Reflection over y-axis:
Thus, (-4,5) will be reflected over y-axis as
b) Reflect the ordered pair (0,3) across the y-axis
Reflection over x-axis:
Thus, (0,3) will be reflected over x-axis as
He would have $100 in his bank account from the information provided