Answer:
= 5n - 2
Step-by-step explanation:
the nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
given a₄ = 18 and a₁₀ = 48 , then
a₁ + 3d = 18 → (1)
a₁ + 9d = 48 → (2)
subtract (1) from (2) term by term to eliminate a₁
6d = 30 ( divide both sides by 6 )
d = 5
substitute d = 5 into (1) and solve for a₁
a₁ + 3(5) = 18
a₁ + 15 = 18 ( subtract 15 from both sides )
a₁ = 3
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2
You have no more money in your account, do you have insurance?
Answer:
Notebook is $4
Thumb drive is $23
Step-by-step explanation:
Let notebooks be x and thumb drives be y
6x+7y=$185
14x+12y=$332
These two are simultaneous equation. Multiplying the first equation by 7 and second by 3 we obtain
42x+49y=$1295
42x+36y=$996
Subtracting the third equation from the fourth
996-1295=-$299
(36-49)y=-23y
-23y=-$299
y=$299/13=$23
To get the value of x, we substitute the value of y into the first equation
6x+(7*23)=$185
6x=$185-$161
6x=$24
x=$4
Therefore, price of notebook is $4, price of thumb drive is $23
Answer:
(-3, 2)
Step-by-step explanation:
{3x=7y=5
{5x-2y=-19
solve....
maybe it was 3x + 7y = 5
and 5x - 2y = -19
2*(3x + 7y = 5)
7*(5x - 2y = -19)
-------------
6x + 14y = 10
35x -14y = -133
41x = -123
x = -3
y = ...
5*(-3) - 2y = -19
-15 - 2y = -19
2y = 4
y = 2
(-3, 2)
Answer:
Triangle E or D
Step-by-step explanation:
Is not the right one
