Using the equation of a line as y -y1 = m(x-x1)
Replace m with the given slope and y1 and x1 with the given point:
y - (-92) = -14(x- (-2))
Simpligy:
y + 92 = -14(x +2)
Simplify the right side:
y +92 = -14x -28
Subtract 92 from each side:
y = -14x-120
The y - intercept is -120
Answer:
an = 7 + 5n
Step-by-step explanation:
First we know that for each number of days rented the cost increase by 5 so we get an - (?) + 5n.
We also know the first number is 12 for 1 day, so for 0 days, or the starter cost, is 7. We get this by subtracting 5 from 12.
Hence the answer an = 7 + 5n
Answer:
The sum of the first 7 terms in the geometric sequence is -6558
Step-by-step explanation:
s7 refers to the sum of the first 7 terms of the geometric sequence
To calculate the sum of terms, we use the sum of terms formula
We have this generally given as;
Sn = a(1-r^n)/(1-r)
a refers to the first term, given as a1 which is -4374
r is the common ratio which is 1/3
n is the number of terms, which is 7
substituting these values;
s7 = -4374(1-(1/3)^7)/(1-1/3)
s7 = -4374(1-(1/3)^7)/2/3
s7 = (3 * -4374)/2 * (1- (1/3)^7
s7 = -6561 * (1-1/2187)
s7 = -6561 * (2187-1)/2187
= -6561 * 2186/2187
= -6558
Let's start off like this:
This is a line connecting to another that has an undefined slope, so X had to be 5 for all the values of Y. The coordinates could be (5,6) or (5,4).