Answer:
Step-by-step explanation:
d^4-81
(d^2)^2-(9)^2
Using formula
(d^2+9)(d^2-9)
2x-15=3(x-15)
2x-15=3x-45
2x+30=3x
30=x
Let's check this work!
2(30)-15=3(30-15)
60-15=3(15)
45=45
She worked 45 hours each week
*the reason it is 2x-15 and not 15+2x is because "more than" is considered a "turn around word" meaning it is the opposite
Answer: Percentage of female workers = 40%
Step-by-step explanation: No of Female workers = 80
No of Male workers = 120
Total No of workers = 120+80= 200
percentage of female workers =80 of 200%= 40
Answer:
35 percent
Step-by-step explanation:
1050 / 3000 as a percent
1050 / 3000 = 105 / 300
Divide both sides by 3:
300 / 3 = 100
105 / 3 = 35
35 / 100 = 35 percent
Check the forward differences of the sequence.
If
, then let
be the sequence of first-order differences of
. That is, for n ≥ 1,

so that
.
Let
be the sequence of differences of
,

and we see that this is a constant sequence,
. In other words,
is an arithmetic sequence with common difference between terms of 2. That is,

and we can solve for
in terms of
:



and so on down to

We solve for
in the same way.

Then



and so on down to

