Explain why 5x4−6x7+15x4−6x7+1 is considered as a rational function?
1 answer:
A rational function is a function that can be written as the quotient of two polynomials.
You did write:
"5x4−6x7+15x4−6x7+1"
This is not a rational function, but I guess that there is some kind of mistake in what you wrote, as the division sign may be missing.
A rational function would actually be:
Where this is considered a rational function because we have the quotient of two polynomials:
p(x) = 5*x^4 - 6*x^7
q(x) = 15*x^4 - 6*x + 1
If you want to learn more, you can read:
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Answer:
Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.
Step-by-step explanation:
This question can be solved by a rule of three.
Government statistics show a consumer price index of 15.2 for 1931 and 237 for 2015.
This means that $15.2 in 1931 is equivalent to $237 in 2015. So
$15.2 in 1931 - $237 in 2015
$80,000 in 1931 - $x in 2015
Ruth's 1931 salary was equivalent to a 2015 salary of $1,247,368.
Answer:
The total length of the Dogwood Trail is 24 kilometers
The difference between the lengths of the trails is 6 kilometers
Step-by-step explanation:
<u><em>The complete and correct question is</em></u>
The diagram shows two different nature trails in a state park. The solid line shows the Dogwood Trail. The dashed line shows the Elm Trail.
Which of the following statements are true about the lengths of the trails? Check all that apply.
1.The total length of the Dogwood Trail is 16 kilometers.
2.The total length of the Dogwood Trail is 24 kilometers.
3.The Elm Trail is longer than the Dogwood Trail.
4.The difference between the lengths of the trails is 2 kilometers.
5.The difference between the lengths of the trails is 6 kilometers.
<u><em>The picture in the attached figure</em></u>
step 1
Find the value of a
Applying the Pythagorean Theorem in the right triangle ABC
step 2
Find the value of b
Applying the Pythagorean Theorem in the right triangle CDE
step 3
Find the total length of the Dogwood Trail (solid blue line)
The total length is equal to
---> by segment addition postulate
substitute the given values
substitute the value of a and b
step 4
Find the total length of the Elm Trail (dashed red line)
The total length is equal to
---> by segment addition postulate
substitute the given values
<u><em>Verify the following statements</em></u>
Part 1) The total length of the Dogwood Trail is 16 kilometers
The statement is false
Because
The total length of the Dogwood Trail is 24 kilometers (see the explanation)
Part 2) The total length of the Dogwood Trail is 24 kilometers
The statement is true (see the explanation)
Part 3) The Elm Trail is longer than the Dogwood Trail
The statement is false
Because
The Elm Trail is smaller than the Dogwood Trail
Part 4) The difference between the lengths of the trails is 2 kilometers
The statement is false
Because
The difference is equal to
Part 5) The difference between the lengths of the trails is 6 kilometers
The statement is true
Because
The difference is equal to
