Answer:
7/12
Step-by-step explanation:
-15/9+9/4
We need to make them have the same denominator:
9x4= 36 so that is our new denominator
-15x4= -60
9x9=81
(Sorry if i dont make sense)
Now we have -60/36+81/36 which is equal to 21/36.
Now we simplify:
21/36=7/12
Answer:
x = 11
Step-by-step explanation:
Raising both sides to the fifth power, we get:
27(x - 2) = 3⁵
x - 2 = 3⁵ / 27
x - 2 = 3⁵ / 3³
x - 2 = 3⁽⁵⁻³⁾ = 3² = 9
x = 11
All three series converge, so the answer is D.
The common ratios for each sequence are (I) -1/9, (II) -1/10, and (III) -1/3.
Consider a geometric sequence with the first term <em>a</em> and common ratio |<em>r</em>| < 1. Then the <em>n</em>-th partial sum (the sum of the first <em>n</em> terms) of the sequence is
Multiply both sides by <em>r</em> :
Subtract the latter sum from the first, which eliminates all but the first and last terms:
Solve for 
:
Then as gets arbitrarily large, the term 
will converge to 0, leaving us with
So the given series converge to
(I) -243/(1 + 1/9) = -2187/10
(II) -1.1/(1 + 1/10) = -1
(III) 27/(1 + 1/3) = 18
Answer:
A, B, C all have one solution.
Step-by-step explanation:
1) Each equation in this question has one variable (x). This means that only one solution will be there.
2) Solve for x, you can cross out option D. When you subtract 52x from both sides, you're left with 52 = -78
Which is not true
3) Option A, if solved x = -65/68
4) Option B, x = 13/2
5) Option C, x = 5
All except D, have one solution, I don't know if it's a multiple choice answer but this is how I can help.
The answer is Y equals -7+5x
