Answer:
-1y+6
Step-by-step explanation:
Here’s why:
Combine like terms. -8y and 7y added together becomes -1y giving the first term.
The second term is from subtracting 12 and 6.
Hope this helps!
Answer:
A is spanned by vector.
Step-by-step explanation:
The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.
9514 1404 393
Answer:
- 246 products in year 5
- 2017 products over 5 years
Step-by-step explanation:
The n-th term of the geometric series is ...
an = a1(r^(n-1))
for first term a1 and common ratio r. The common ratio here is the growth factor: 1 -20% = 0.8. This means the 5th term (5th year sales) will be ...
a5 = 600(0.8^(5-1)) ≈ 246 . . . . . products sold in year 5
The sum is given by ...
sn = a1(1 -r^n)/(1 -r) = 600(1 -0.8^5)/(1-0.8) = 2017
The company will have sold about 2017 products over 5 years.
1) 12 cm
2) 38
3) 20
4) 40
Each cm is equivalent to 12.5m. So what you can do I just divide all of them by 12.5 to get the answers above.
Answer:
3:5 (or 3/5)
Step-by-step explanation:
The ratio of area is equal to (ratio of perimeters)^2
That means...
(18:50) = (a:b)^2
This simplifies to:
(9:25) = (a:b)^2
Which means...
3:5 = a:b