East= 45 x 22 = 990 students
west= 42 x 23 = 996 students
996 - 990 = 6 students
990 - 996 = -6 students
There are 6 more students at West school than East school. There are -6 more students at East school than West school.
Hope it helps!
Hi.
12=4/5g
12*5=4g
60=4g
60/4=g
g=15.
Answer:
7x = y + 37
Step-by-step explanation:
y = 7x - 9
Differentiating y with respect to x, we have as follows:
dy/dx = m = 7 ( where m is the slope)
Using the formula y - y1 = m(x - x1) to obtain the equation of line passing through point (4.-9)
y + 9 = 7(x - 4)
y + 9 = 7x - 28
∴ 7x = y + 37
2.43
as a mixed number: 2 43/100
as an improper fraction: 243/100
Hope this helps!! :D
Answer:
3. aₙ = -9n +7
4. d = -2.4
5. a₆ = 45
6. aₙ = 133 + 4n
Step-by-step explanation:
Question 3.
a₁ = -2; aₙ = aₙ₋₁ - 9
The explicit rule for an arithmetic sequence is
aₙ = a₁ + d(n -1 )
d = aₙ - aₙ₋₁
aₙ = aₙ₋₁ - 9 Subtract aₙ₋₁ from each side
aₙ - aₙ₋₁ = -9
d = -9
For this sequence,
aₙ = -2 – 9(n - 1) Remove parentheses
aₙ = -2 - 9n + 9 Combine like terms
aₙ = -9n + 7
===============
Question 4
d = aₙ - aₙ₋₁
a₂ - a₁ = 6.2 – 8.6 = -2.4
a₃ - a₂ = 3.8 – 6.2 = -2.4, etc.
The common difference is
d = -2.4
===============
Question 5
aₙ = 8n – 3 Substitute the value of n
a₆ = 8×6 – 3
a₆ = 48 - 3
a₆ = 45
============
Question 6
a₁ = 137; d = 4
aₙ = a₁ + d(n -1 )
aₙ = 137 + 4(n -1 )
aₙ = 137 + 4n -4
aₙ = 133 + 4n
