Answer:4
Step-by-step explanation:3x+6=18 minus 6 on both sides and divide by 3
Answer:
p = -3
Step-by-step explanation:
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Answer:
A four mile ride would cost $10
Step-by-step explanation:
Let T be the total ride cost
Let M be the amount of miles driven
T = 1.75M + 3
You can now sub in any distance in miles into the equation, but for this instance lets sub in 4 miles
T = 1.75*(4) + 3
T = 7 + 3
T = 10
Therefore, a four mile ride would cost 10 dollars
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
Answer:
4. 12c(3a^5b - 1)
Step-by-step explanation:
Greatest common factor of 36 and 12: 12
There are variables a^5b on left term but not on right term, so there is no common factor of a or b.
Greatest common factor of c and c: c
Common factor: 12c
36a^5bc / 12c = 3a^5b
-12c / 12c = -1
Answer: 36a^5bc - 12c = 12c(3a^5b - 1)