Answer:
or
Step-by-step explanation:
-7,-3,1,5,... is a arithmetic sequence.
Arithmetic sequences have a common difference. That is, it is going up by 4 each time.
When you see arithmetic sequence, you should think linear equation.
The point-slope form of a line is 
.
m is the common difference, the slope.
Any they are using the point at x=1 in the point slope form. So they are using (1,-7).
So let's put this into our point-slope form:
Subtract 7 on both sides:
So your answer is
Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
For the answer to the question above,
and we are told that there are "four times as many quarters as nickels"
this translates to
q = 4n
0.05n + 0.25q = 2.10
and
q = 4n
are your two equations that could be used to solve this problem
if you would like to know how many nickels and how many quarters there are, plug in q = 4n into the first equation and get
0.05n + 0.25(4n) = 2.10
then I would stop here
because I didn't see the choices. So the answer is 4n
Answer:
Your answer is:
Time: Water:
0.5 0.8
1 1.6
3 4.8
25 40
Step-by-step explanation:
Hope this helped : )
