B is the correct answer I think
Answer:
y = 3/5x + 62/5
Step-by-step explanation:
Equation of a line with two points is
m = y - y_1 / x - x _1
m = y_2 - y_1 / x_2 - x _1
Equating both
y - y_1 / x - x_1 = y_2 - y_1 / x_2 - x_1
Using what we are provided with
(-4 , 10)(16 , -2)
x_1 = -4
y_1 = 40
x_2 = 16
y_2 = -2
Imputing the values
10 - (-2) / 16 - (-4) = y - 10 / x - (-4)
10 + 2 /16 + 4 = y - 10 / x + 4
12 / 20 = y - 10 / x + 4
Lets cross multiply
12 ( x + 4) = 20(y - 10)
Open the brackets
12x + 48 = 20y - 200
12x + 48 + 200 = 20y
12x + 248 = 20y
Following this equation of line
y = mx + C
20y = 12x + 248
Let's divide through by 20 to get y.
20y / 20 = 12x + 248 / 20
y = 12x + 248 / 20
We can separate it by
y = 12x / 20 + 248 / 20
y = 3/5x + 62/5
Therefore, the equation of the line is
y = 3/5x + 62/5
Answer:
B. First term = 5, Common difference = -3
Step-by-step explanation:
The first term is f(1) = 8 - 3(1) = 8 - 3 = 5.
The common difference is the coefficient of n. Another way to see this is to compute the second term, f(2) = 8 - 3(2) = 8 - 6 = 2. The second term is 3 less than the first. The common difference is -3.
The sequence goes 5, 2, -1, -4, ...
4500(1.15)^5 = <span>9051 = From 1995 to 2000.
</span><span>9051(.96)^5 = 7380 = From 2000 to 2005.
</span>
7380 is your answer.
