Is the polynomial t^4-7 in standard form?
1 answer:
Answer:
The polynomial is in standard form.
Step-by-step explanation:
Writing the polynomial in standard form means we have to write the terms of the polynomial by descending degree.
- First writing the term with the highest or largest exponent or degree first
- Then writing the terms which have lower degrees/exponents in descending order.
- If there is any constant term in the polynomial, it is always written in the end.
so
Given the polynomial
Here:
- The highest exponent is the 4, so that entire term i.e.
is written first. Here it is also written first.
- Then the next term is the constant term, and constant terms is written in the end. Here, the constant terms is also written in the end.
Therefore, the polynomial is in standard form.
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Answer:
It represents an infinite cylinder of radius 4.
Step-by-step explanation:
The first thing to notice is that
<u>represents a circle of radius 4</u>, with its center in the origin of a plane yz, of cartesians coordinates.
Starting from here, we have to put the coordinate x, for all values of x, to complete the space R³. <em>This will enlarge this circle we had on the plane, to infinity</em> (positive and negative on the x-axis).
Finally, we have that this region is a cylinder of radius 4, with center in y=0 and z=0, and of infinite length in the x coordinates.
Answer:
the answer is A
Step-by-step explanation:
<em>Note:</em>
<em>Your first question is missing the y-intercept, so I am solving the 2nd question. You would still get your concept clear because the procedure to solve each of the questions is the same.</em>
Question 2
Answer:
The equation in the standard form is:
- 2/3x + y = -4
Please also check the attached graph.
Step-by-step explanation:
We know that the equation in the standard form is
Ax + By = C
where x and y are variables and A, B and C are constants
Given
- Slope m = -2/3
- y-intercept = -4
To determine
- Write the equation in the standard form
We know that the slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
In our case:
- Slope m = -2/3
- y-intercept = -4
substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation
y = mx+b
y = -2/3x + (-4)
y = -2/3x - 4
Writing the equation in the standard form
2/3x + y = -4
Therefore, the equation in the standard form is:
- 2/3x + y = -4
Please also check the attached graph.
