Answer:
For n=6, the given vectors will be collinear.
Step-by-step explanation:
Collinear vectors are the vectors which lie on the same line or parallel lines. In order to find if two vectors are collinear, their ratio is found. If the ratio is same for all unit vectors then the vectors are collinear.
Given

The ratio of first unit vectors is:

In order for the vectors to be collinear the other ratio should also be 1/3

Writing it mathematically

Hence,
For n=6, the given vectors will be collinear.
Answer: 1 : 20%
2 : 80%
3 : -90% (negative 90%), if no negatives are allowed, than it is a 90% decrease.
4 : $90
5: $31.50
Step-by-step explanation:
Answer:
See below ↓↓
Step-by-step explanation:
a₁ refers to the first term of the sequence.
That is clearly : a₁ = <u>6</u>
<u></u>
The formula for the nth term is :
- aₙ = a₁rⁿ⁻¹
- Common ratio (r) = quotient of consecutive terms
- r = -12/6 = -2
Therefore, the nth term is :
Answer:
3n+15
Step-by-step explanation:
three (3) times (
) a number (n) added (+) to fifteen (15)
3n+15 is your answer
Hope this helps!
Given:
A straight-line graph has gradient 4 and crosses the y axis at (0, −3).
To find:
The equation of the given graph.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope of the line and b is the y-intercept.
A straight-line graph has gradient 4. It means the slope of the line is 4.

Line crosses the y axis at (0, −3). So, y-intercept is -3.

Putting m=4 and b=-3 in (i), we get


Therefore, the equation of the given line graph is
.