Answer:
11th term is 0
Step-by-step explanation:
30, 27 , 24 ,......0
a = first term = 30
Common difference = second term - first term = 27 - 30 = -3
nth term = a+(n-1)*d
a + (n-1)d = 0
30 + (n - 1) *(-3) = 0
30 + n*(-3) -1*(-3) = 0
30 - 3n + 3 = 0
-3n + 33 = 0
-3n = -33
n = -33/-3
n = 11
Answer:
20 newspapers
Step-by-step explanation:
First create an equation.
y = 0.75x + 45
Now substitute 60 y and solve for x.
60 = 0.75x + 45
60 - 45 = 0.75x + 45 - 45
15/0.75 = 0.75x/0.75
x = 20 newspapers
As is the case for any polynomial, the domain of this one is (-infinity, +infinity).
To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,
The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.
Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).
To find the circumference, you would use 2πr.
Answer:
2*π*16
=100.53in^2
Answer:
-3/2
Step-by-step explanation:
The slope of a line is calculated by dividing the difference in the y-coordinates by the difference in the x-coordinates.
Here, the given ordered pairs are (-6, -8) and (-14, 4), so the slope is:
slope = m = (4 - (-8)) / (-14 - (-6)) = 12 / (-8) = -3/2
The answer is thus -3/2.
<em>~ an aesthetics lover</em>
