Answer:
Step-by-step explanation:
-12+5x=-24+x
4x=-12
x=-3
Answer:
33, 39, 45, 51
Step-by-step explanation:
The general term of an arithmetic sequence is given by the formula ...
an = a1 + d(n-1) . . . where a1 is the first term and d is the common difference
Comparing this formula to the one you are given, you see that ...
a1 = 33, d = 6
This means the first term is 33, and each successive term is 6 more than the previous one. The first 4 terms are ...
33, 39, 45, 51
Answer:
-5 =x
Step-by-step explanation:
3^(x-1) = 9^(x+2)
Replace 9 with 3^2
3^(x-1) = 3^2^(x+2)
We know that a power to a power means the powers are multiplied
a^b^c = a^(b*c)
3^(x-1) = 3^(2x+2)
When the bases are the same, the powers have to be the same
x-1 = 2x+4
Subtract x from each side
x-x-1 =2x-x+4
-1 =x+4
Subtract 4 from each side
-1-4 =x+4-4
-1-4 = x
-5 =x
Answer:
18% decrease
Step-by-step explanation:
- 7,500 - 6,125 = $1,375
- Set up a proportion:
- Cross multiply, then divide: 1375 × 100 = 137500, 137500 ÷ 7500 = 18 1/3
- 18 1/3% rounded = 18%
- It went down, so it is a decrease
I hope this helps!
