Refer to the diagram shown below.
The right vertex is at (14, -1), and the center is at (-1, -1).
Therefore the semi-major axis is
a = 14 - (-1) = 15
The right focus is at (8, -1).
Therefore
c = 8 - (-1) = 9.
The distance of the directrix from the center is
d = c²/a = 9²/15 = 81/15 = 27/5.
Therefore the equation for the left directrix is
x = -1 - 27/5 = -32/5
Answer: x = -27/5
Answer:
22 movies per month.
Step-by-step explanation:
30=9.99+0.89m
30-9.90=0.89m
20.01/0.89=m
22.48=m
Answer:
m= 4/3
Step-by-step explanation:
To answer, we substitute each of the numbers in parentheses to x of h(x) and get the value of g(x).
A. h(2) = 2(2) + 3 = 7 ; g(2) < 4 (neither is equal to 7)
B. h(7) = 2(7) + 3 = 17; g(7) is not shown in the graph (not true)
C. h(2) = 7 ; g(2) < 4 Thus, g(2) < h(2) (choice is not true)
D. From C, g(2) < h(2) (TRUE)
Thus, the answer to this item is letter D.
Answer:
No
Step-by-step explanation:
Given values are
f(x) = 5x^3+60x^2+109x+90
x = -10.
Given Polynomial is 5x^3+60x^2+109x+90 .
= (90)+(5.x^3)+(60.x^2)+(109.x)
By putting x = (-10) we can rewrite it as
= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))
= (90)+(-5000)+(6000)+(-1090)
= 0
The remainder of given polynomial is 0.