We are given:
2x + 5 - 3x = 8(x + 1)
We can start with several things. First, we can combine the x terms on the left side of the equation, and apply the distributive property on the right side of the equation.
5 - x = 8x + 8
Now, we can add x to both sides, and subtract 8 from both sides to isolate the variable.
5 - x = 8x + 8
-8 + x + x -8
We end up with:
9x = -3
By dividing both sides by 9, we get x =
.
If you want to check your answer, just plug x in!
2(
) + 5 - 3(
) = 8(
+ 1)
+ 5 + 1 =
+ 8
+
=
+ 
= 
As you can see,
=
as a result of having x =
.
Answer:
n² - 2n + 2
Step-by-step explanation:
The difference in the pattern are odd numbers.
2 - 1 = 1
5 - 2 = 3
10 - 5 = 5
17 - 10 = 7
So there is a -2n in the nth term.
If we subtract 1 on each term.
0, 1, 4, 9, 16
We get whole squares.
So there is a n² in the nth term.
(1)² - 2(1)+ c = 1
1 - 2 + c = 1
-1 + c = 1
c = 2
The nth term is:
n²-2n+2
Answer:
11.25
Step-by-step explanation:
it is a dialation of 2.25:
12 x 2.25 = 27
and
8 x 2.25 = 18
so...
5 x 2.25 =
11.25