Answer:
81
Step-by-step explanation:
let the terms be a,ar,ar²
r=2/3
a+a(2/3)+a(2/3)²=171
multiply by 9
9a+6a+4a=171×9
19 a=171×9
a=(171×9)/(19)
a=9×9=81
Answer:
Average rate of change over the interval 2<= x <= 5:
y = 3x + 5: 3
y = 3x^2 + 1: 21
y = 3^x: 78
<u />
Step-by-step explanation:
2<= x <= 5
Average rate of change over the interval 2<= x <= 5:
<u>y = 3x + 5</u>
y(5) = 3(5) + 5 = 20
y(2) = 3(2) + 5 = 11
Average rate of change = (20 - 11)/(5-2) = 9/3 = <u>3</u>
<u />
<u>y = 3x^2 + 1</u>
y(5) = 3(5^2) + 1 = 75 + 1 = 76
y(2) = 3(2^2) + 1= 13
Average rate of change = (76 - 13)/(5-2) = 63/3 = <u>21</u>
<u />
<u>y = 3^x</u>
y(5) = 3^5 = 243
y(2) = 3^2 =9
Average rate of change = (243-9)/(5-2) = 234/3 =<u> 78</u>
Y=8/2
y=4!!!!!!!!!!!!!!!!!
Answer:
second option
Step-by-step explanation:
Given the rule
(x, y ) → (x + 3, y - 5)
This means add 3 to the original x- coordinate and subtract 5 from the original y- coordinate, that is
D(4, - 4 ) → D'(4 + 3, - 4 - 5 ) → D'(7, - 9 )
E(5, - 5 ) → E'(5 + 3, - 5 - 5 ) → E'(8, - 10 )
5(3)-(-3)
15- (-3)
15+3 = 18
