Fiona has proved that a function, f(x), is an arithmetic sequence. How did she prove that? A. She showed that an explicit formula could be created. B. She showed that a recursive formula could be created. C. She showed that f(n) ÷ f(n - 1) was a constant ratio. D. She showed that f(n) - f(n - 1) was a constant difference.
Answers
Answer:
Option D is correct
Step-by-step explanation:
Option D is correct
Being an arithmetic sequence there will be common difference between the consecutive terms
Option A is incorrect because it is not necessary that explicit formula is an arithmetic sequence we can create explicit formula for any sequence
Option B is incorrect because recursive formula can be created for any sequence for geometric series also.
Option C is incorrect because the sequence that has constant ratio is the geometric sequence not an arithmetic sequence.
Answer:
D. She showed that f(n) - f(n - 1) was a constant difference.
Step-by-step explanation:
∵ A sequence is called arithmetic if there is constant difference between consecutive numbers,
Thus, option D is correct.
In Explicit formulas, we define each term in a sequence directly,
Thus, there are many sequences other than arithmetic that have explicit formula,
i.e. Option A can not be true.
Now, recursive formula defines the relation between successive terms,
Thus, there are many sequences other than arithmetic that have recursive formula,
i.e. Option B can not be true.
Also, if the ratio between successive terms is constant then the sequence is a Geometric sequence,
A GP can not be an AP,
i.e. Option D can not be true.
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Delilah received a stipend of $1,000 for the extra work she does on the job. She is going to deposit the money into her bank account that receives 4% simple interest.The account balance after year 3 is what
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
arrowRight
a reflection across the x-axis and then a
reflection across the y-axis
arrowRight
a 90° clockwise rotation about the origin
and then a rotation 180° about the origin
arrowRight
Answers
Answer:
a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
Step-by-step explanation:a 90° counterclockwise rotation about the origin
a 180° rotation about the origin
a 90° clockwise rotation about the origin
a 90° counterclockwise rotation about
the origin and then a 180° rotation
about the origin
Final answer:
A 90° counterclockwise rotation is the same as a 270° clockwise rotation. A 180° rotation is the same as a reflection across both axes. A 90° clockwise rotation is the same as a 270° counter-clockwise rotation. Two separate rotations of 90° counter-clockwise and then 180° are the same as rotations of 90° clockwise and then 180°.
Explanation:
In mathematics, especially in geometry, transformations involve changing the position, size or shape of a figure. The question is about matching specific transformations or sequence of transformations to its equivalent transformation.
- A 90° counterclockwise rotation about the origin is equivalent to a 270° clockwise rotation about the origin because they both result in the same final position.
- A 180° rotation about the origin is equivalent to a reflection across the x-axis and then a reflection across the y-axis. Both of these transformations result in the figure being flipped over the origin.
- A 90° clockwise rotation about the origin is equivalent to a 270° counterclockwise rotation about the origin as they both result in the same final position.
- A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin is equivalent to a 90° clockwise rotation about the origin and then a rotation 180° about the origin because they both result in the same final position.
Learn more about Geometry Transformations here:
#SPJ2
Answers
so the answer is
good luck
Answers
Answer:
It has to be in ax^2 + bxy + cy^2
Step-by-step explanation:
It has to be in ax^2 + bxy + cy^2
Answers
-10n+3(8+8n)=-6(n-4)
-10n+3*8+3*8n=-6n+6*4
-10n+24+24n=-6n+24
24+14n=-6n+24 /-24
14n=-6n /+6n
20n=0 /:20
n=0 - its the answer
Answers
answers in the picture
Answers
Answer:
C
Step-by-step explanation: