Answer:
Let 'a' be the first term, 'r' be the common ratio and 'n' be the number of terms
Series = 2+6+18.......= 2+2•3¹+ 2•3².......= 728
Now,

So,

Therefore, number of terms is 6
Answer:
Let total students who prefer lemonade is 2a and who prefer ice tea is a.
Students in 6th grade=39
2a+a=39
3a=39
a=39/3
a=13
students who prefer lemonate is 13
and those who prefer ice tea is 2a=26
Y = ax + b;
0.89 = a * 2 + b and 2.09 = a * 5 + b =>
=> 2.09 - 0.89 = a * 5 + a * 2 + b - b => 1.20 = 3 * a => a = 1.20 / 3 => a = 0.40;
b = 0.89 - 0.40 * 2 => b = 0.89 - 0.80 => b = 0.09;
y = 0.40x + 0.09 => 0.40x - y + 0.09 = 0 is the linear equation.
Answer:
A. -61/9
Step-by-step explanation:
(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation
14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms
9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56
x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x
2+2=4
a^2+b^2=c^2
15^2-4^2
=225-16
=209