What is the solution to the system of equations below
1 answer:
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Answer:
see below
Step-by-step explanation:
The ratio of terms that are two terms apart (s4 and s6) is the square of the common ratio:
s6/s4 = r^2
r = √(8/18)
r = 2/3 . . . . . matches choices A and C
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Using the formula for the general term, we now know enough to find the first term:
sn = s1·r^(n-1)
s4 = s1·(2/3)^(4-1)
Using s4 = 18 and multiplying by (2/3)^-3, we get ...
18·(2/3)^-3 = s1 = 18·27/8
s1 = 243/4 . . . . . matches choice A
Answer:
Cost per night: 75
Equation:
Step-by-step explanation:
An equation to represent the situation can be written in the slope-intercept form, , where,
m = slope of the graph, which is the rate per night.
b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.
Let's find m, using two points on the line, (2, 200) and (4, 350)
✅The cost per night = 75
y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.
Substitute m = 75, and b = 50 into .
✅The equation would be: