Answer:
21, 24, 29
5
Step-by-step explanation:
The first term is when n = 1.
(1)² + 20 = 21
The second term is when n = 2.
(2)² + 20 = 24
The third term is when n = 3.
(3)² + 20 = 29
To find how many terms are less than 50, set n² + 20 equal to 50 and solve for n:
n² + 20 = 50
n² = 30
n ≈ 5.477
Rounding down, n = 5 is the last term that is less than 50.
Therefore, there are 5 terms in the sequence that are less than 50.
11.4 → 11.8, 12.2, 12.6, 13.0, 13.4, 13.8, 14.2, 14.6 ← 15.0
Answer:
(5,-1)
x=5
y= -1
Step-by-step explanation:
To solve this we're going to solve for one variable in either equation
so we have
x+y=4
We can subtract y and 4 from both sides to get
x-4= -y
Then divide by -1 so that y will be a positive number
-x+4=y
We can plug this in for y in the other equation
2x -2(-x+4)=12
Distribute the -2 and get
2x+2x-8=12
Combine like terms and add 8 to get
4x=20
divide and get x=5
Plug in x=5 into the first equation to get
5+y=4
subtract 5 to get y= -1
Our answer is (5,-1) or x=5 y= -1
I checked this on desmos and the math is correct
Answer:
9
Step-by-step explanation: