Answer:
It shifted 6 units down
Step-by-step explanation:
Do the graph normally without the k and compare them side by side.
Answer:
1) 4, 7, 12 and 19
Tenth term = 103
2) 2, 8, 18, 32
Tenth term =200
Step-by-step explanation:
Given the nth term of the sequence
1) f(n)= n²+3
When n = 1
f(1) = 1²+3
f(1) = 4
When n = 2
f(2) = 2²+3
f(2) =4+3
f(2) = 7
When n = 3
f(3) = 3²+3
f(3) = 9+3
f(3)=12
When n =4
f(4) = 4²+3
f(4) = 16+3
f(4) = 19
The first four terms are 4, 7, 12 and 19
f(10)= 10²+3
f(10) = 103
Tenth term is 103
2) f(n) = 2n²
When n = 1
f(1) = 2(1)²
f(1) = 2
When n = 2
f(2) = 2(2)²
f(2) = 2(4)
f(2) = 8
When n= 3
f(3)= 2(3)²
f(3) = 2(9)
f(3) = 18
When n= 4
f(4) = 2(4)²
f(4) = 2(16)
f(4) =32
The first four terms are 2, 8, 18, 32
f(10) = 2(10)²
f(10) =2(100)
f(20) = 200
The tenth term is 200
Step-by-step explanation:
105
Answer:
She has 2 1/24 meters of ribbon
Step-by-step explanation:
Skye has 12 1/4 meters of ribbon, and she uses 2/3 of that.
To know how much she uses we have to multiply the total by the fraction she uses:
12 1/4 * 2/3,
12 1/4 is the same as 49/4, so we can solve by multiplying the nominators and denominators:
49/4 * 2/3 = 49/6;
So she used 49/4 meters of ribbon or 8.167 m.
Now we are going to see how much ribbon is left by subtracting from the total what she used:
12 1/4 - 49/4 = 49/12 meters that she has left.
And out of those she uses 1/2, so we are going to multiply what she has left by 1/2:
49/12 * 1/2 = 49/24 = 2 1/24 = 2.04167 meters that she used of the remaining.
And because she used half she still has the other half of the remaining:
2 1/24 or 2.94167 meters.
