Pls help. It would mean a lot :)))
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Correct Question:
Which term could be put in the blank to create a fully simplified polynomial written in standard form?
Options
Answer:
Step-by-step explanation:
Given
Required
Fill in the missing gap
We have that:
From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.
Hence, the variable of the polynomial is x
This implies that the power of x decreases by 1 in each term.
The missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.
This implies that the blank will be filled with a term that has its power of x to be 2
From the list of given options, only can be used to complete the polynomial.
Hence, the complete polynomial is:
Using the given information and what we know about linear equations, we will find the sketch below.
<h3>How to sketch a graph?</h3>Here we need to analyze each part separately.
In a coordinate axis where the y-axis represents distance and the x-axis represents time, we will have that:
First, we know that he rides for 30 minutes at a given speed, this will be represented with an increasing linear function.
Then he stops for 20 minutes, this is represented with a horizontal line.
Finally, he returns the motion, but slower than before, so the slope of this line will be smaller than the first one.
So for 0 to 30 we have an increasing linear equation, then for 30 to 50 we have a constant horizontal line, then for 50 to 80 we have another increasing linear equation
The sketch can be seen below.
If you want to learn more about linear equations, you can read:
