Answer:
x=-11
y=-1
Step-by-step explanation:
x=4y-7
2x+9y=-31
2(4y-7)+9y=-31
8y-14+9y=-31
17=-31+14
17y=-17
y=-1
x=4(-1)-7
x=-11
Answer:
4 mph
Step-by-step explanation:
Travel time is proportional to distance and inversely proportional to speed. If c represents the speed of the current in miles per hour, an equation for the total trip time is ...
825/(29 -c) +825/(29 +c) = 58 . . . . . . hours travel time
825(29 +c) +825(29 -c) = 58(29 -c)(29 +c)
58c² -928 = 0 . . . . . . . rearrange to standard form
58(c -4)(c +4) = 0 . . . . factor
Values of c that satisfy this equation are 4 and -4. For the purpose here, we'll choose the positive solution.
The speed of the current is 4 miles per hour.
I think if you divide 2, the answer is 3......1
if 3, the answer is 2......1
if 4, the answer is 1......3
if 5, the answer is 1......2
if 6, the answer is 1......1
Answer:
The nth term of the geometric sequence 7, 14, 28, ... is:

Step-by-step explanation:
Given the geometric sequence
7, 14, 28, ...
We know that a geometric sequence has a constant ratio 'r' and is defined by

where a₁ is the first term and r is the common ratio
Computing the ratios of all the adjacent terms

The ratio of all the adjacent terms is the same and equal to

now substituting r = 2 and a₁ = 7 in the nth term


Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:
