Determine first the common difference (d) of the arithmetic sequence using the given terms,
d = (a17 - a6) / (17 - 6)
d = (113 - 36) / 11 = 7
Using the 17th term, 113, we get the value of a23 by,
a23 = a17 + (23 - 17) x 7
a23 = 113 + 42 = 155
Thus, the 23rd term is 155.
The answer is C. 5x
We need to find the price of one magazine. To do this we divide 350 by 70
350 / 70 = $5 per magazine
Answer:
6) 9216π
8) 24
Step-by-step explanation:
6)
V= 2/3πr³
r = 48/2 = 24
V = 2/3π24³
V = 9216π
8)
V = 4/3πr³
2304π = 4/3πr³
r³= (2304π)/4/3π
r³= 1728
![\sqrt[3]{r^3} =\sqrt[3]{1728}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%20%3D%5Csqrt%5B3%5D%7B1728%7D)
r = 12
D = 2r
D = 2 x 12 = 24
Answer:
The positions of the vertex and the axis of symmetry change.
Step-by-step explanation:
Let’s examine three parabolas in which a and c remain constant and only b changes.
(1) y = x² - 2x + 1
(2) y = x² + 1
(3) y = x² + 2x + 1
In the image below,
Equation (1) is the black parabola, Equation (2) is green, and Equation (3) is red.
When b is more negative, the vertex moves down, and the axis of symmetry moves to the right.
When b is more positive, the vertex moves down, and the axis of symmetry moves to the left.